Answer:
Step-by-step explanation:
14=k(-6)+5
-6k=9
k=-1.5
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21
Answer:
8 1/2
2 19/36
1 9/10
23/42
The temperature dropped 15 degrees overnight.
simplify the expression :
1.7h - 8.9 + 3
Answer:
1.7h - 5.9
Step-by-step explanation:
Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.
In a group of 700 people only 5% of them have red hair how many people hade red hair
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
Quadrilateral abcd is inscribed in a circle choose a statement for each step in the proof that proves ABCD is a square
Answer:
The four sides of the lines tangent to the circle are equal.
Step-by-step explanation:
Inscribed circle is inside the four or more lines of a geometric shape. In the given inscribed circle the there are four lines which are tangent to the circle. The four line are equal in length and two of the lines are parallel. This confirms that the geometric shape is a square.
Nine boys share 2 pizzas equally.
How many pizzas does each boy get?
Answer:
if the two pizzas has 8 slices each and there's 9 boys everyone has one pizza and some leftover
Step-by-step explanation:
Answer:
4/9th??? i think im wrong
ASAP PLEASE!!!!!!! ILL DO ANYTHING!!!
A manager increased the hourly pay for three employees.
Carlie’s hourly rate, which used to be $9 per hour, increased by 6%.
Allison’s hourly rate, which used to be $8 per hour, increased by 9%.
Gabriele’s hourly rate, which used to be $11 per hour, increased by 5%.
Order the hourly rates from least increase in pay to greatest increase in pay.
Answer:
Allison, Carlie , Gabriele ($8.72, $9.54, $11.55)
Step-by-step explanation:
Carlie's 9+6%= $9.54
Allison's 8+9%= $8.72
Gabriele's 11+5%= $11.55
Which expressions are equivalent to 7-2 x 76?
On a Math test, a student got 25 questions correct but did not pass. On a second attempt, the student got 36 questions correct. What was the percent of increase?
Answer:
44 percent
Step-by-step explanation:
hope this helps!
could you please mark me as brainliest? thanks!
pleaseeeeeeeeeeee helpppppppppppppppp
Answer:
hirap naman yan basahin mo kasi directions
Calculate the range and the mean of:
14, 8, 32, 8, 6, 4
Answer:
Range: 28
Mean: 12
Step-by-step explanation:
First line the numbers from small to big: 4, 6, 8, 8, 14, 32
Range is biggest minus smallest number
Mean is just the average: all the numbers' sum divided by the number of numbers
Hope this helps! ;)
Pls help extra points and mark brainlist
Answer:
(12)3=36
Step-by-step explanation:
i don't know.. I think this is what the question is trying to say XD
Answer:
(12)3=36
Step-by-step explanation:
On Monday, 475 people visited the museum. On Saturday, there were 4 times as many visitors as there was on Monday. How many people visited the museum on both days combined?
Answer:
2,375 people
Step-by-step explanation:
Hope this helps!! <3
Please need help with one
Solve for indicated side
Your Answer:
Question 4 options:
Answer
Answer: x=10
Step-by-step explanation:
Picture below.
describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation:
Today, 6 friends went out for lunch. Their total bill was $50.41 , including tax and gratuity. One of them ordered only soda and needed to pay only $1.71 . The other 5 friends ordered the same daily special. How much did each of the other friends need to pay?
Answer:
50.41 minus 1.71 is 48.70 divided by 5 is 9.74
Pls help!!!!!!!!!!!!
12334556
Step-by-step explanation:
but I hope u figured out the answer
Find m 1 and m 2 in the diagram
The maximum water depth at Lake Tahoe, California in 2014 was 1644 feet. Because of the drought, the water level has been decreasing at an average rate of 6.2 feet per year. Create a model for the depth of the lake
Answer:
i would suggest putting this in a line graph
Step-by-step explanation:
the y axis can be the depth while the x axis can be the time passed since 2014
geometry need helppppppppp
Answer:
Corresponding angles:
E=P
F = Q
G=R
H=N
Corresponding side:
EF=PQ
GH=RN
FG=QR
EH=PN
Step-by-step explanation:
Just match them=)
help! I need an answer soon
pls don't make it random letters to get the points.
If s = -5 and t = 3, find the value of s 2t.
a.75
b.225
c.-75
d.30
HELP ASAP PLSSSSSSSSSSSSSSS
Answer:
a. 5ab b. 11x+15y
Answer:
a. 5ab
b. 11x+5y
Step-by-step explanation:
12ab-7ab they have the same variables, so you can just subtract
19x+5y-8x just rearrange it to 19x-8x+5y and subtract 19x and 8x
35 POINTS AND BRAINLIEST PLEASE ANSWER PROPERLY MUST BE DONE IN 10MIN
C 89.54 goes to A
D goes to B
A goes to C
B goes to D
F goes to E
Since the laptop is on sale, that would make it $206.99.
An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
1. -3(-2-4-0)+3-(3-5-7)=
Answer: The answer is 18
Answer:
[tex] - 3 + 5 + 7 - 18 + 36 \\ - 3 + 12 - 18 + 36 \\ - 21 + 36 \\ = 15 \: \: \: ans.[/tex]
PLS ANSWER!!!! i need help plsssssss
Answer:
Sorry dude, I don't know, but maybe someone else will come and answer!!!
Step-by-step explanation: