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. 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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Part G H 

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.
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?
Transcribed Image Text: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. 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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