Question

In: Statistics and Probability

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and...

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected?

Group of answer choices

1.96%

2.48%

0.0196%

1.62%

Expert Solution

Let X denotes the weights of quarters.

X ~ N(mean= = 5.67, standard deviation = = 0.07)

Let find the probability that weight is between 5.48 to 5.82 grams.

(We get this phi values from z table)

Probability that coin is rejected = 1 - 0.9804 = 0.0196 = 1.96%

Percentage of legal quarters will be rejected = 1.96% (Answer)

z table :

orchestra answered 2 years ago

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