Question

Two instructors, Matherton and Staterton. Matherton teaches 16 students and Staterton teaches 19 students if we...

Two instructors, Matherton and Staterton. Matherton teaches 16 students and Staterton teaches 19 students

if we pick 10 students. find the following

  1. what is the probability that 7 out of the 10 are Matherton
  2. what is the probability that at least 9 are Matherton
  3. what is the probability that at most 1 is Matherton
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given data,

Probability of being a student of Matherton = 16/35 = 0.4571

Probability of being a student of Staterton = 19/35 = 0.5428

Let x denote the number of students,

We know that binomial distribution is given by,

Where,

n = 10

p = 16/35

1.

= 0.0801

2.

P(X 9) = P(X = 9) + P(X = 10)

= 0.0047 + 0.0004

= 0.0051

3.

P(X 1) = P(X = 0) + P(X = 1)

= 0.0022 + 0.0187

= 0.0209

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