On a very hot summer day, 5 percent of the production employees at midland states steel are absent from work. the production employees are randomly selected for a special in-depth study on absenteeism. what is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

(a) 60
(b) 65
(c) 70
(d) 75

Option A - 60

Step-by-step explanation:

Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.

To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

Solution :

Applying Binomial distribution,

Here, p is the success p=5%=0.05

q is the failure

n is the number of selection n=10

The probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent i.e. x=0

Substitute the values,

i.e. 60%.

Therefore, Option A is correct.

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