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.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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(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?
O A.
O B.
AP(x)
Q
0.5
0.5-
Q
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
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? O A. O B. AP(x) Q 0.5 0.5- Q 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.
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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