5. Past data indicate 52% of all Harper College students earn a credential or tr

Question

5. Past data indicate 52% of all Harper College students earn a credential or transfer within three years of their initial enrollment.

In a randomly selected group of 10 entering students, what is the likelihood 7 will earn a credential or transfer with three years of their initial enrollment.

In a randomly selected group of 12 entering students, what is the likelihood at most 4 will earn a credential or transfer within three years of their initial enrollment.

In a randomly selected group of 8 entering students, what is the likelihood at least 2 will earn a credential or transfer within three years of their initial enrollment.

Suppose we were to select a random sample of 325 entering students at Harper College. What is the likelihood at most 48% of these students will earn a credential or transfer within the next three years? Would this be an unusual occurrence?

Explanation / Answer

Average is 5.2 of the poisson distrubeted data

Poisson Probability: P(X = 7)=  0.1125

Average for 12 students is 6.24

Cumulative Probability: P(X < 4) = 0.2542

In a randomly selected group of 8 entering students,average is 4.16

Cumulative Probability: P(X > 2) = 0.9194

Suppose we were to select a random sample of 325 entering students at Harper College. What is the likelihood at most 48% of these students will earn a credential or transfer within the next three years?

Average is 0.5*325 = 169

0.48*325 = 156

Cumulative Probability: P(X < 156) = 0.1683

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