a large company states in their promotional literature that 80% of their employees have college degrees. if 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees?
0.0003
0.3277
0.6723
0.9997

Question

Accepted Answer

# Explanation:
## Step1: Identify the probability of one employee having a college degree
The probability $p$ that an employee has a college degree is $p = 0.8$.
## Step2: Use the multiplication rule for independent events
Since the selections are independent, the probability that all $n = 5$ employees have college degrees is $P=(0.8)^5$.
$$
\begin{align*}
(0.8)^5&=( \frac{8}{10})^5\
&=\frac{8^5}{10^5}\
&=\frac{32768}{100000}\
& = 0.32768\approx0.3277
\end{align*}
$$

# Answer:
0.3277

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the probability of one employee having a college degree

Step2: Use the multiplication rule for independent events

Answer: