Use n=6 and p = 0.6 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. X P(x) 0 1 2 3 4 5 6 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using μx = [X P(x)] and ox= Σ[X².P(x)]-H²- Px = (Round to two decimal places as needed.) = (Round to two decimal places as needed.) (c) Compute the mean and standard deviation, using μx = np and ox = √np(1-p). Px (Round to two decimal places as needed.) (Round to two decimal places as needed.)
Use n=6 and p = 0.6 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. X P(x) 0 1 2 3 4 5 6 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using μx = [X P(x)] and ox= Σ[X².P(x)]-H²- Px = (Round to two decimal places as needed.) = (Round to two decimal places as needed.) (c) Compute the mean and standard deviation, using μx = np and ox = √np(1-p). Px (Round to two decimal places as needed.) (Round to two decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:(c) Compute the mean and standard deviation, using μx = np and ox= √np(1-p).
Hx =
(Round to two decimal places as needed.)
oy
(Round to two decimal places as needed.)
(d) Draw a graph of the probability distribution and comment on its shape.
Which graph below shows the probability distribution?
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0.5
0.5-
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0.25
l,df.
x G
The binomial probability distribution is
AP(x)
Q
Q
O C.
0.25
AP(x)
Q
O D.
AP(x)
0.5
IL
0.25
Q
![Use n = 6 and p = 0.6 to complete parts (a) through (d) below.
C
(a) Construct a binomial probability distribution with the given parameters.
X
P(x)
0
1
2
3
4
5
6
(Round to four decimal places as needed.)
(b) Compute the mean and standard deviation of the random variable using μx = [X P(x)] and ox=√ [x² • P(x)]-H²-
Hy =
(Round to two decimal places as needed.)
x =
(Round to two decimal places as needed.)
(c) Compute the mean and standard deviation, using μx = np and x = √np(1-p).
Hx =
(Round to two decimal places as needed.)
x =
(Round to two decimal places as needed.)
(d) Draw a graph of the probability distribution and comment on its shape.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc72d117c-b7a7-4ce3-8a5b-6c9e83e9ca9e%2F89b06b5e-2f0f-47b5-81bc-8a7fb49468fd%2F6wutlyp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use n = 6 and p = 0.6 to complete parts (a) through (d) below.
C
(a) Construct a binomial probability distribution with the given parameters.
X
P(x)
0
1
2
3
4
5
6
(Round to four decimal places as needed.)
(b) Compute the mean and standard deviation of the random variable using μx = [X P(x)] and ox=√ [x² • P(x)]-H²-
Hy =
(Round to two decimal places as needed.)
x =
(Round to two decimal places as needed.)
(c) Compute the mean and standard deviation, using μx = np and x = √np(1-p).
Hx =
(Round to two decimal places as needed.)
x =
(Round to two decimal places as needed.)
(d) Draw a graph of the probability distribution and comment on its shape.
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