The following is the probability distribution of the number of accidents in one day. x 7 8 9 10 11 12 p(x=x) 0.13 0.21 0.09 0.33 0.12 a (a) Compute the value of ?. (b) Find the probability that at least nine accidents in one day. (c) Find the probability that at most eight accidents in one day. (d) Find the expected value of ?. (e) Find the variance and standard deviation of ?.

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The following is the probability distribution of the number of accidents in one day.

x 7 8 9 10 11 12
p(x=x) 0.13 0.21 0.09 0.33 0.12 a


(a) Compute the value of ?.
(b) Find the probability that at least nine accidents in one day.
(c) Find the probability that at most eight accidents in one day.
(d) Find the expected value of ?.
(e) Find the variance and standard deviation of ?.

1.
The following is the probability distribution of the number of accidents in one day.
X
7
8
10
11
12
P(X = x)
0.13
0.21
0.09
0.33
0.12
a
(а)
(b)
(c)
(d)
(e)
Compute the value of a.
Find the probability that at least nine accidents in one day.
Find the probability that at most eight accidents in one day.
Find the expected value of X.
Find the variance and standard deviation of X.
Transcribed Image Text:1. The following is the probability distribution of the number of accidents in one day. X 7 8 10 11 12 P(X = x) 0.13 0.21 0.09 0.33 0.12 a (а) (b) (c) (d) (e) Compute the value of a. Find the probability that at least nine accidents in one day. Find the probability that at most eight accidents in one day. Find the expected value of X. Find the variance and standard deviation of X.
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