Use n= 10 and p=0.25 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. P(x) P(x) 1 7 2 8 3 4 10 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using Hx = [x•P(x)] and ox = %3D Hx = (Round to two decimal places as needed.) Ox = (Round to two decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 31CR
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Use n= 10 and p= 0.25 to complete parts (a) through (d) below.
(a) Construct a binomial probability distribution with the given parameters.
P(x)
P(x)
6.
1
7
8.
9.
4
10
5
(Round to four decimal places as needed.)
(b) Compute the mean and standard deviation of the random variable using px = [x• P(x)] and ox
E? • P(x] - u .
Hx =
(Round to two decimal places as needed.)
(Round to two decimal places as needed.)
=
Transcribed Image Text:Use n= 10 and p= 0.25 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. P(x) P(x) 6. 1 7 8. 9. 4 10 5 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using px = [x• P(x)] and ox E? • P(x] - u . Hx = (Round to two decimal places as needed.) (Round to two decimal places as needed.) =
(c) Compute the mean and standard deviation, using ux = np and ox = Vnp(1 - p).
Hx
(Round to two decimal places as needed.)
(Round to two decimal places as needed.)
%3D
(d) Draw a graph of the probability distribution and comment on its shape.
Which graph below shows the probability distribution?
A.
В.
C.
OD.
AP(x)
0.5-
AP(x)
0.5-
AP(x)
0.5-
AP(x)
0.5-
0.25-
0.25-
0.25-
0.25-
0+
0 2 4 6 8 10
0-
0 24 6 8 10
0 2 4 6 8 10
0 24 6 8 10
The binomial probability distribution is
Transcribed Image Text:(c) Compute the mean and standard deviation, using ux = np and ox = Vnp(1 - p). Hx (Round to two decimal places as needed.) (Round to two decimal places as needed.) %3D (d) Draw a graph of the probability distribution and comment on its shape. Which graph below shows the probability distribution? A. В. C. OD. AP(x) 0.5- AP(x) 0.5- AP(x) 0.5- AP(x) 0.5- 0.25- 0.25- 0.25- 0.25- 0+ 0 2 4 6 8 10 0- 0 24 6 8 10 0 2 4 6 8 10 0 24 6 8 10 The binomial probability distribution is
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,