This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:
a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________
Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.
Answers
Answer:
1. 0.1795
2. 0.1693
3. 0.1657
4. 0.1606
Step-by-step explanation:
This problem was solved using the binomial distribution
1.
N = 30
P = 6/30 = 0.2
Using binomial distribution
30C6 x 0.2⁶ x 0.8²⁴
= 593775 x 0.000064 x 0.004722
= 0.1795
2.
N = 60
P = 6/60 = 0.1
60C6 x 0.1⁶ x 0.9⁵⁴
= 50063860 x 0.000001 x 0.00338139
= 0.1693
3.
N = 100
100C6 x 0.06⁶ x 0.94⁹⁴
= 1192052400 x 0.000000046656 x 0.00297864
= 0.1657
4.
Poisson distribution was used here
e^-6(6)⁶/6!
= 0.1606
Related Questions
Evaluate the expression, if x = 5 and y = 3. x + y = 1*
Evaluate the expression,
if x = 5 and y = 3.
x + y - 1
Answers
Answer:
7
Step-by-step explanation:
If you plug in the variable for x and y you get:
5+3-1
Use the order of operations to solve:
5+3-1
8-1
7
Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?
Answers
Answer:
$50
Step-by-step explanation:
Solve for x: 3(x + 1) = -2 (x-1) - 4
Answers
Answer: x = -1
Remove parentheses
Calculate
Move the terms
collect like terms, calculate.
divide both sides.
Answer: x = -1
3(x + 1) = -2(x-1) - 4 (Expand by distributing)
3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)
3x + 2x = 2 - 4 - 3 (Collect like terms)
5x = -5 (Divide both sides by 5 to isolate for x)
x = -1
∴ x = -1.
What happens to the median if the game with 3 hits is remqued from the data sset
Answers
janelle has 25 pictures on her cell phone.she takes 7 more pictures, and then deletes 9 pictures . how many pictures does she have ?
Answers
Answer:
23
Step-by-step explanation:
Answer: 23 pictures
Step-by-step explanation:
25 + 7 = 32
32 - 9 = 23
Your answer will be 23 pictures.
Hope this helps!
What is the distance from b (-35,25) to c (-20, 15)
Answers
Answer:
[tex]d = 5\sqrt{13}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-20-(-35))^2+(15-25)^2}[/tex]
[tex]d = \sqrt{(-20+35)^2+(-10)^2}[/tex]
[tex]d = \sqrt{(15)^2+100}[/tex]
[tex]d = \sqrt{225+100}[/tex]
[tex]d = \sqrt{325}[/tex]
[tex]d = 5\sqrt{13}[/tex]
ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize
Answers
Answer:
0.98
Step-by-step explanation:
Prob (Ball target & prize ) = 0.74
Prob (Ball no target & no prize) = 1 - 0.74 = 0.26
Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)
= 1 - (0.26)^3
= 1 - 0.017576
= 0.982424
Good Morning
Here is a Maths Question for you - I will give Brainliest. Worth 10 points. Also please answer ASAP.
Please show workings as well.
Thanks
Jake
Answers
Answer:
13-(5*4)=?
13-20=-7
Step-by-step explanation:
the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.
Answer:
28
Step-by-step explanation:
first term(a)=13
difference(d)=5
t(4)=?
now,
t(4)=a+(n-1)d
=13+(4-1)5
=13+3×5
=28
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the
same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita's Drive
y
(4, 288)
280-
Roger's Drive
240
Time (hr)
Distance (mi)
(3,223)
200-
1
65
160-
• (2, 158)
2
130
Distance (mi)
120-
3
195
(1,93)
80-
4.
260
40-
0
0
Time (hr)
Who Had the head start?
Answers
Answer:
hello your question is poorly written and the required options to the question is missing
options :
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Answer : Rita had a 28-mile head start
Step-by-step explanation:
From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles
Answer:
a
Step-by-step explanation:
edge 2021
Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW
Answers
Answer:
C= -5t+30
The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.
Step-by-step explanation:
The equation 5y=6 represents purchasing 5 tubs of yogurt for $6 In this
equation, what does the solution represent?
Answers
$6-how much the yogurt costed in total
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?
Answers
Answer: 30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
I need help ASAP
what is the principal if the interest earned is $22 the simple annual interest rate is 2% and the time is one year
Answers
Answer:
1,100
Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100
Answer:
not 1,100 its 1100
Step-by-step explanation:
one fourth of a number is 12 find the number
Answers
Answer:
48
Step-by-step explanation:
If 12 is one-fourth of a number, just multiply 12 by four to find the whole number.
12 x 4 = 48
You could have also set this up as an equation
12 = 1/4x
And then divide 12 by one-fourth
12/(1/4) = 48
A triangle has a base length of 10 inches and a height of 4 inches.
What is the area of the triangle?
Answers
Answer:
No, The answer is 20. Remember area of triangle equals 1/2bh (or half of base and height multiplied.)
The area of triangle that has a base length of 10 inches and a height of 4 inches is 20 square inches.
What is area of a triangle?
The area of a triangle is one half the product of its base multiplied by height. Mathematically -
Area [Δ] = 1/2 x base x height
Given is a triangle (Δ) has a base length of 10 inches and a height of 4 inches.
We can write -
Base Length [B] = 10 inches
Height of triangle [H] = 4 inches
Area of triangle (Δ) = 1/2 x B x H
A(Δ) = 1/2 x B x H
A(Δ) = 1/2 x 10 x 4
A(Δ) = 20 square inches
Therefore, the area of triangle that has a base length of 10 inches and a height of 4 inches is 20 square inches.
To solve more questions on Triangles, visit the link below-
https://brainly.com/question/15442893
#SPJ5
Write all prime numbers between 10 and 20
Answers
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
Help me find the slope of this problem ??
Answers
(0,15) (2,9)
9-15/2-0= -6/2= -3
Graph the line that represents the equation
Answers
Answer:
In the attachment.Step-by-step explanation:
We need only two points.
Choose any two values of x. Put them to the equation and calculate the value of y:
[tex]y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)[/tex]
mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
Answers
Answer:
the total cost would be $45.2
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
Answers
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
Does anyone know this answer !!!!!!
Answers
Answer:
13
Step-by-step explanation:
5x + 25 = 7x - 1
-7x. -7x
-2x + 25 = -1
-25. -25
-2x = -26
-2. -2
x = 13
45.52
The attendance at a seminar in year 1 was 500. In Year 2, the attendance changed by 100. What was the percent chang
in attendance?
O The percent change was 0.2%.
O The percent change was 0.4%.
O The percent change was 20%.
O The percent change was 40%.
Save and Exit
Next
Submit
Marke this and tu
Answers
Answer:
20%
Step-by-step explanation:
[tex]percent change = \frac{difference}{original value} * 100[/tex]
[tex]= \frac{100}{500} * 100\\= 20[/tex]
Bank tellers earn a weekly
salary of $200 plus $10 per
hour worked. Rebecca would
like to work at least 20 hours
each week. Use the graph to
model this scenario. How
much money will Rebecca
earn working at least 20
hours each week?
Answers
Answer:
2000 dollars
Step-by-step explanation:
-8.2, 6, -3.5, 8.2, -5
Least to greatest
_________________________
-3/4, -1, 5/4, 2
Greastest to least
_________________________
-0.5, 1.5, 0, -5, 1.25
Greatest to least
Answers
-8.2, -5, -3.5, 6, 8.2
2, 5/4, -3/4, -1
1.5, 1.25, 0, -0.5, -5
Answer all parts please.
Answers
Answer:
no
Step-by-step explanation:
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A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.
Answers
Given:
Product A requires 7 board feet of wood and 4 lbs of wicker.
Product B requires 5 board feet of wood and 5 lbs of wicker.
Product C requires 4 board feet of wood and 3 lbs of wicker.
Available wood = 3000 board feet
Available wicker = 1400 lbs
Profit margin of A = $35 per unit
Profit margin of B = $42 per unit
Profit margin of C = $20 per unit
To find:
The linear programming problem for given situation.
Solution:
Let the number of units produced of products A, B and C are x, y and z respectively.
Product A Product B Product C Total
Board feet of wood 7 5 4 3000
wicker 4 5 3 1400
Objective function: Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
Board feet of wood : [tex]7x+5y+4x\leq 3000[/tex]
Wicker : [tex]4x+5y+3x\leq 1400[/tex]
Number of units cannot be negative. So, [tex]x,y,z\geq 0[/tex].
Therefore, the required LPP is
Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
[tex]7x+5y+4x\leq 3000[/tex]
[tex]4x+5y+3x\leq 1400[/tex]
[tex]x,y,z\geq 0[/tex]
can someone help me i don’t get this at all !!!! OLEASEEE
Answers
Answer:
A
Step-by-step explanation:
not enough info
Solve for V and simplify.
2v+6=13v-4v+62
Answers
Explanation:
xx f(x)f(x)f, left parenthesis, x, right parenthesis
-5−5minus, 5 -2−2minus, 2
-4−4minus, 4 222
-3−3minus, 3 000
-2−2minus, 2 111
-1−1minus, 1 000
000 333
111 -7−7minus, 7
222 -8−8minus, 8
333 -3−3minus, 3
444 111
555 444
What is the average rate of change of fff over the interval -4\leq x\leq 5−4≤x≤5minus, 4, is less than or equal to, x, is less than or equal to, 5?
Give an exact number.
Answers
Answer:
4
Step-by-step explanation:
khan
What is the circumference of a circle that has a radius of 7 m?
Answers
Step-by-step explanation:
you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44