Question

In a sample of 70 employees, what is the probability that more than 18% of them are working from home?

A) 0.125
B) 0.250
C) 0.375
D) 0.500

Answer 1

To find the probability that more than 18% of the 70 employees are working from home, we need to use the binomial distribution formula: P(X > k) = 1 - P(X ≤ k). The answer is not provided in the options, so D) Cannot be determined is the closest option.

Step-by-step explanation:

To find the probability that more than 18% of the 70 employees are working from home, we need to use the binomial distribution formula. The formula is:

P(X > k) = 1 - P(X ≤ k)

where P(X > k) is the probability that X is greater than k, and P(X ≤ k) is the cumulative probability that X is less than or equal to k.

In this case, X represents the number of employees working from home, and k represents 18% of 70. So we need to find:

P(X > 0.18 * 70) = 1 - P(X ≤ 0.18 * 70).

Using a binomial distribution table or calculator, we can find the probability that X is less than or equal to 0.18 * 70, and then subtract that from 1 to find the probability that more than 18% of the employees are working from home. The answer is not provided in the options, so D) Cannot be determined is the closest option.