The Princeton Review estimates that 70% of CofC students are in-state students. Assume we take a random sample of 10 CofC students. a) What is the probability that exactly 8 of the students are in-state students? b) What is the probability that 8 or more are in-state students? c) What is the probability that 7 or less are in-state students? Round your answers to 3 decimal places.

The Princeton Review estimates that 70% of CofC students are in-state students. Assume we take a random sample of 10 CofC students. a) What is the probability that exactly 8 of the students are in-state students? b) What is the probability that 8 or more are in-state students? c) What is the probability that 7 or less are in-state students? Round your answers to 3 decimal places.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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The Princeton Review estimates that 70% of CofC students are in-state students. Assume we take a random
sample of 10 CofC students.

a) What is the probability that exactly 8 of the students are in-state students?
b) What is the probability that 8 or more are in-state students?
c) What is the probability that 7 or less are in-state students?
Round your answers to 3 decimal places.

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In Step 2 of the answer, I don't understand how to calculate.

P(X= 8) = ¹⁰C₈*(0.70)⁸*(1-0.70)^10-8

what is ¹⁰C_8?where does the number come from?

Then is it multiplied times(0.70)⁸

(1-0.70)^10-8does this equal (0.30)^2?

If you multiply the three numbers you get the probability?

Same goes for step 3

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