f. What is the standard deviation of X?  g. What is the probability that X is within 1.5 standard deviations of its expected value?  h. What is the probability that X = 7?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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An assortment of 24 super pumpkin seeds contains 6 that are non-viable. Alice randomly selects 6 of these seeds (without replacement) to plant for the pumpkin growing contest. Some of her selected seeds may be non-viable. Let X = the number of the selected seeds which are non-viable. Need help with f,g,and h.

a. How many possible ways are there to select the 6 out of 24 seeds (order does not matter) without replacement? 
b. What is the probability that X = 0 
c. What is the probability that X=3? 
d. What is the probability that X > 3? 
e. What is the expected value of X? 
f. What is the standard deviation of X? 
g. What is the probability that X is within 1.5 standard deviations of its expected value? 
h. What is the probability that X = 7? 
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