Question

the probability of an archer hitting her target is 83%. suppose she has 20 shots to take, and each shot is independent of the others. let x represent the number of targets hit. what is the mean of x?
4.1
8.3
16.6
83

Explanation:

Step1: Identify the distribution

This is a binomial distribution problem. The formula for the mean of a binomial distribution is $\mu = np$, where $n$ is the number of trials and $p$ is the probability of success on each trial.

Step2: Substitute the values

Here, $n = 20$ (number of shots) and $p=0.83$ (probability of hitting the target).
So, $\mu=20\times0.83$.

Step3: Calculate the result

$20\times0.83 = 16.6$.

Answer:

16.6