Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability that in a random sample of 12 such college graduates hired recently by companies, exactly two will stay with the same company for more than five years is

Question

Imani Owens

Mathematics

13 September, 10:25

Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability that in a random sample of 12 such college graduates hired recently by companies, exactly two will stay with the same company for more than five years is

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Teagan Andersen · Answer 1

0.1835

Step-by-step explanation:

This question can be solved by way of binomial distribution.

Let's have the probability of success as p which is the probability that they stay with the company for more than five years;

p = 8/100 = 0.08

probability of failure, meaning not staying is q = 1-p = 1-0.08 = 0.92

Now let's write the expression for the binomial distribution. That would be;

probability = 12C2 * 0.08^2 * 0.92^10

= 0.1835