Consider the following discrete probability distribution. a. b. C. X P(x) 1 0.1 2 0.4 3 0.3 5 0.1 8 0.1 Graphically depict this probability distribution. (Draw a probability histogram.) What is the probability that the random variable x is between 4 and 10? What is the probability that the random variable x is less than 3?

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.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 15CR
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Consider the following discrete probability distribution.
a.
b.
C.
X
P(x)
1
0.1
2
0.4
3
0.3
5
0.1
8
0.1
Graphically depict this probability distribution. (Draw a probability histogram.)
What is the probability that the random variable x is between 4 and 10?
What is the probability that the random variable x is less than 3?
Transcribed Image Text:Consider the following discrete probability distribution. a. b. C. X P(x) 1 0.1 2 0.4 3 0.3 5 0.1 8 0.1 Graphically depict this probability distribution. (Draw a probability histogram.) What is the probability that the random variable x is between 4 and 10? What is the probability that the random variable x is less than 3?
d. Construct a cumulative probability distribution.
e. Compute E(X), the expected value of x. Show your work with a table similar to the one on page
62 of the course packet or page 230 of the textbook. You can enter the numbers in Excel and
use Excel to construct a table.
f. Compute o² (the variance of x) and ♂ (the standard deviation of x). Show your work with a
table. Your answer in parts e and f can be in one table.
Transcribed Image Text:d. Construct a cumulative probability distribution. e. Compute E(X), the expected value of x. Show your work with a table similar to the one on page 62 of the course packet or page 230 of the textbook. You can enter the numbers in Excel and use Excel to construct a table. f. Compute o² (the variance of x) and ♂ (the standard deviation of x). Show your work with a table. Your answer in parts e and f can be in one table.
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