Question

If you randomly select two employee surveys with replacement, what is probability of selecting 2 males? Make sure to show your calculations for full credit.

Answer 1

To find the probability of selecting 2 males when randomly selecting two employee surveys with replacement, we use the concept of hypergeometric distribution. The probability of selecting a male in the first survey is p, and since we are sampling with replacement, the probability of selecting a male in the second survey is also p. The probability of selecting 2 males is p^2.

Step-by-step explanation:

To find the probability of selecting 2 males when randomly selecting two employee surveys with replacement, we need to use the concept of hypergeometric distribution. In this case, we have two groups: males and non-males (females or other gender).

The probability of selecting a male in the first survey is the proportion of males in the population. Let's say this proportion is p. Since we are sampling with replacement, the probability of selecting a male in the second survey is also p.

The probability of selecting 2 males is P(2 males) = P(male in first survey) x P(male in second survey) = p x p = p^2.

Answer 2

the probability of selecting 2 males when randomly selecting two employee surveys with replacement is p * p = p^2.

Step-by-step explanation:

To calculate the probability of selecting 2 males when randomly selecting two employee surveys with replacement, we need to know the proportion of male surveys among all the surveys available.

Let's assume that out of all the employee surveys, the proportion of male surveys is p. Since the surveys are selected with replacement, the probability of selecting a male survey in each individual selection remains constant.

To find the probability of selecting 2 males, we multiply the probability of selecting a male survey in the first selection by the probability of selecting a male survey in the second selection.

Probability of selecting a male survey in the first selection: p

Probability of selecting a male survey in the second selection: p

Therefore, the probability of selecting 2 males when randomly selecting two employee surveys with replacement is p * p = p^2.

Keep in mind that without knowing the specific value of p, we cannot calculate the exact probability. However, if the proportion of male surveys is known, it can be substituted into the equation to find the probability