Let X be a binomial random variable with parameters (n, p). Find the approximate value of P(|X| > a) when n is sufficiently large using the central limit theorem, where a is a positive number. g
Answers
Answer:
Approximate value of P(|X| > a) is attached below
Ф ( 0 ) is the CDF of standard Normal variate
Step-by-step explanation:
x ~ Bin ( n, p )
E ( x ) = np , Var ( x ) = np ( 1 - p )
∴ Z = Iin ( x - E(x) ) / √Var x ) ~ N ( 0, 1 ) ( this is the standard normal Variate)
n-1∞
Find the approximate value of P(|X| > a)
Ф ( 0 ) is the CDF of standard Normal variate
attached below is the remaining part of the solution
Related Questions
Select all that apply.
Select the real words which can be formed with pass.
passable
passage
passdom
passen
passing
passly
Answers
Answer:
passable
passage
passing
Answer:
passable, passage, passing
Step-by-step explanation:
passable is a word
passage is a word
passdom isn't a word
passen isn't a word
passing is a word
passly isn't a word
April has 5 milligrams of zinc and 0.25 milligrams of copper.
How much more zinc does she have than copper?
Answers
Answer:
It's 4.75
Step-by-step explanation:
If you subtract 5-.25=? The answer would be 4.75. Hope this helps.
Can someone help me? It would mean the world if u helped me have a nice day! <3
Answers
2000*7 weeks=14,000
500 ml water 4 times a day = 500x4= 2000 ml water per day
there are 7 days in a week so,
2000 x 7 = 14000 ml
1000mililitre = 1 litre
14000ml = 14 L per week
Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.
Use the drop-down menu below to answer the question about the stem-and-leaf plot.
Answers
Answer:
13 games
Step-by-step explanation:
Answer:
13 games
Step-by-step explanation:
A sprinter ran the 400 meter dash in 44.62 seconds. Convert her speed into miles per hour
Answers
Answer:
v = 20.7 mph
Step-by-step explanation:
Given that,
Distance, d = 400 m
Time, t = 44.62 s =
We need to find the speed of the sprinter. The speed of an object is defined as total distance covered divided by time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\=\dfrac{0.248\ mile}{0.012\ s}\ (As\ 1\ m=0.000621371\ mile)\\\\=20.7\ mph[/tex]
Hence, the speed of the sprinter is equal to 20.7 mph.
List 3 values that would make this inequality true. 10≥2n
10
0
5
8
6
7
2
Answers
Answer:
0, 2, 5
Step-by-step explanation:
10 ≥ 2n
Divide both sides by 2
5 ≥ n
Flip
n ≤ 5
Values less than or equal to 5
0, 2, 5
Do the sides 4, 5, and 6 form a Pythagorean Triple?
Answers
Answer:
They do not form a Pythagorean Triple.
If it was a Triple, 4^2+5^2 should equal 6^2.
4^2+5^2=16+25=41
6^2=36
41≠26
It doesn't work, therefore it is not a Pythagorean Triple.
Answer:
no
Step-by-step explanation:
A pythagorean triple is only formed by 3 sides
What is the smaller zero of y = r2 – 6x + 8
Answers
Answer:
i think it's 27
Step-by-step explanation:
sorry if im wrong
A local department store sells carpet in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors. The other sizes come in 2 colors. How many choices of carpet are there
Answers
Answer:
23.
Step-by-step explanation:
You would multiply the 4 sizes of carpet by the 3 qualities, which equals 12. Then, you add 5+2+2+2. So it would end up being 12+11.
Container A is cylinder with a radius of 6 units and a height of 6 units. A right cone has been carved from its base and has a height of 6 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?
1 over 3π(62)(6) − π(62)(6)
2[1 over 3π(62)(6) − π(62)(6)]
2[π(62)(6) − 1 over 3π(62)(6)]
π(62)(6) − 1 over 3π(62)(6)
Answers
Answer:
[tex]\pi (6^{2}) (6)-\frac{1}{3} \pi (6^{2} )(6)[/tex]
Step-by-step explanation:
correct
Pls help me ASAP pls
Answers
Answer:
[tex]y = \sqrt[5]{50} [/tex]
Step-by-step explanation:
[tex]25 + 25 = {y}^{5} [/tex]
[tex] {y}^{5} = 25 + 25[/tex]
[tex] {y}^{5} = 50[/tex]
Take the 5th root of both sides of the equation to eliminate the exponent on the left side.
[tex]y = \sqrt[5]{50} [/tex]
Hope it is helpful.....Please both questions! I'll give Brainlyest
Answers
Answer:
c
Step-by-step explanation:
3=t-12
12+3=t
15=t
c is the answer
A jockey will ride horses in 10 different races at a race track today. The number of races that the jockey will win is what type of random variable
Answers
Answer:
X is a discrete Random variable where X is the number of races Jockey can win.
Step-by-step explanation:
To find - A jockey will ride horses in 10 different races at a race track today.
The number of races that the jockey will win is what type of random variable ?
Proof -
Given that,
A jockey will ride horses in 10 different races at a race track today.
Let us assume that,
X is the number of races Jockey can win
So,
X can take value 0, 1, 2, 3, ......10
As,
It can take countable finite values
So,
X is a discrete Random variable
∴ we get
X is a discrete Random variable where X is the number of races Jockey can win.
A flowerpot has a circular base with a diameter of 27 centimeters. Find the circumference of the base of the flowerpot. Round to the nearest tenth.
How would you go about solving this?
Answers
The circumference of the base of the flowerpot is 84.8cm
What is circumference of a circle?Circumference of a circle can be described as the length or distance of a circle.
The formular that can be used to calculate the circumference of a circle is
= 2πr
Radius= diameter/2
= 27/2
= 13.5
The circumference can be calculated as follows
= 2πr
= 2 × 3.142 × 13.5
= 84.83
≅ 84.8 (to the nearest tenth)
Hence the circumference of the base of the flower pot is 84.8 cm
Read more here
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May someone help me with these questions?
Answers
Answer:
7. -158
8.-87
9. 807
10.128
11.9
Answer:
Step-by-step explanation:
Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Circles A, B, and C overlap. Circles A and B overlap. Circle C is to the side. Circles A, B, and C are shown. They do not overlap. Circles A and C overlap, and circles C and B overlap.
Answers
Answer:
correct its d
Step-by-step explanation:
Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
A number increased by 4 is two times the number.
Answers
Answer:
x+4=x*2
x=4
Step-by-step explanation:
What is the measure angle of 3
PLEASE HELP WORTH 10 points
Answers
Answer:
Step-by-step explanation:
the third angle = 90 -61 = 29
hope that helps
What is the supplement of 12
Answers
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answers
Answer:
<1= 62
•it is 62 because it is an alternate interior angle which is congruent
<2= 83
• when you add the given angles 62 and 35 you get 97 and a triangle is 180 so you subtract 97 from 180
<3=35
• it is 35 because it is an alternate interior angle which is congruent
Step-by-step explanation:
62+35= 97
180-97= 83
Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?
A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.
Answers
Answer:
the answer is A. 38lb.
i hope this helps :)
Step-by-step explanation:
50-12= 38 pounds
un ascensor se encuentra en la duodécima planta de un edificio, sube 10 pisos, despues en baja 1, en sube 3 y en baja 5. ¿En qué planta se encuentra en el final?
Answers
Answer:
It is in the plant 19.
Step-by-step explanation:
match the base to the corresponding height
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.
[tex]x {}^{2} \div a + y {}^{2} \div b = 1[/tex]
find x
Answers
Answer:
[tex]x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2\div a+y^2\div b=1[/tex]
We need to find the value of x.
It can also written as :
[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}=1[/tex]
Subtract [tex]\dfrac{y^2}{b}[/tex] from both sides,
[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}-\dfrac{y^2}{b}=1-\dfrac{y^2}{b}\\\\\dfrac{x^2}{a}=\dfrac{b-y^2}{b}\\\\\text{Cross multiplying both sides}\\\\x^2=\dfrac{a(b-y^2)}{b}\\\\x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]
Hence, the value of x is equal to [tex]\sqrt{\dfrac{a(b-y^2)}{b}}[/tex].
The highest speed ever recorded for a bicycle was 166.944 miles per hour. What is this speed rounded to the NEAREST tenth?
Answers
Answer:
166.9 miles per hour
Step-by-step explanation:
To round a number to the nearest tenth, look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. Then, the answer is 166.9.
Rewrite the equation below so that it does not have fractions. 4/9x-2=5/6
Answers
Answer:
0.44x-2=0.83
Step-by-step explanation:
Bernard earns a 37% commission
for all the sales he makes in a month.
Last month his total sales were
$12,500.00. How much was his
commission last month?
A. $125.00
B. $1250.00
C. $375.00
D. $3750.00
Answers
Assume that a and b are the legs of a right triangle and C is the hypotenuse.
-
Given a = 20, c=52, find b =
Answers
Answer:
b = 48
Step-by-step explanation:
a = 20
b = ?
c = 52
a^2 + b^2 = c^2
20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2704 - 400
b^2 = 2304
sqrt(b^2) = sqrt(2304)
b = sqrt(2304)
b = 48
HELP WILL GIVE BRANLIEST
Answers
Answer:
m ∠ 2= 38Step-by-step explanation:
how many liters of water does the pool need?
Answers
Answer:
c
Step-by-step explanation:
12 times 1.5 times 3.8