Suppose that 75% of the students enrolled in programs at the School of Business at USC are undergraduate students and the rest a

Question

2 years ago

10

Suppose that 75% of the students enrolled in programs at the School of Business at USC are undergraduate students and the rest a

re graduate students (assume that total enrolment is in the thousands). If a random sample of 10 students is selected from the school to be interviewed about their level of satisfaction with the quality of the school's programs, what is the probability that at least 9 of the students selected are undergraduate students?

SAT

1 answer:

Rainbow [258] · Answer 1 · 2023-05-01T02:37:45+03:00

The probability that at least 9 of the students selected are undergraduate students is 0.244.

<h3>How to solve for the probability</h3>

This is a binomial distribution

We have

n = 10

probability = 0.75

1-p = 1- 0.75 = 0.25

The probability of at least 9 =

p 0f 9 + p of 10

= 10C9 (0.75)⁹ (0.25) + (0.75)¹⁰

= 10 x 0.0751 x 0.25 + 0.0563

= 0.244

Hence the probability that at least 9 of the selected are undergraduates is 0.244.