Question

1. The population of quarters have a mean weight of 5.670 g and a standard deviation of 0.062 g. The distribution of the weights is normal. a. What is the probability that a randomly selected quarter has a weight less than 5.600 g

Answer 1

Answer: 0.129449

Explanation:

Let x be the random variable that represents the population of quarters.

Given: The population of quarters have a mean weight of 5.670 g and a standard deviation of 0.062 g.

The probability that a randomly selected quarter has a weight less than 5.600 g:

`P(X<5.600)=P((X-mean)/(standard\ deviation)<(5.600-5.670)/(0.062))\\\\=P(Z<-1.129)\\\\=1-P(1.129)\\\\=1-0.870551\\\\=0.129449`

The required probability = 0.129449