It is known that 41% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=70 new freshmen at State University. Let X = the number of these sampled freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.) a) What is the probability that X < 29? b) What is the probability that 28 < X < 31? c) What is the probability that X = 31? d) What is the expected value of X? e) What the variance of X7 R cerint for the abo into the text box hora

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c) What is the probability that X = 31?
It is known that 41% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=70 new freshmen at State University. Let X = the number of these sampled
freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.)
a) What is the probability that X < 29?
b) What is the probability that 28 ≤ x ≤ 31?
d) What is the expected value of X?
e) What is the variance of X?
MY NOTES
f) Copy your R script for the above into the text box here.
ASK YOUR TEACHER
Transcribed Image Text:6. DETAILS c) What is the probability that X = 31? It is known that 41% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=70 new freshmen at State University. Let X = the number of these sampled freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.) a) What is the probability that X < 29? b) What is the probability that 28 ≤ x ≤ 31? d) What is the expected value of X? e) What is the variance of X? MY NOTES f) Copy your R script for the above into the text box here. ASK YOUR TEACHER
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