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Among the equation students taking a graduate statistics class, equation are master students and the other equation are doctorial students. A random sample of equation students is going to be selected to work on a class project. Use equation to denote the number of master students in the sample. Keep at least 4 decimal digits if the result has more decimal digits. ________________________________________________________________________________________ The probability that exactly 4 master students are in the sample is closest to 0.0577 0.2885 0.3462 0.4121 0.6538

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MrRoyal

Question has missing details:

1. Number of students behave: 16

Step-by-step explanation:

P(k=4) = 0.2861

Given

Let m= number of samples

n = 4

First, we calculate the binomial distribution with n=5, with p=10/16=0.625 (proportion of master students

q is calculated as follows;

q = 1-0.625= 0.375

The probability that exactly 4 master students are in the sample is closest to is calculated as follows.

Probability = p(k=4)

P(k=4} = nCr p^5 q^1

P(k=4) = 5C4 * (0.625)^4 * 0.375

P(k=4) = 0.286102294921875

P(k=4) = 0.2861

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