It Is Generally Believed That Electrical Problems Affect About 14

question 4

Essay

It is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot.
a. Describe the sampling distribution of the sample proportion by naming the model and telling its mean and standard deviation.
b. What is the probability that in this group over 18% of the new cars will be found to have electrical problems?

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Definitions:

Rainy Days

Days on which a significant amount of precipitation falls, typically defined as days when there is at least 0.1 inches of rainfall.

Expected Amount

The average value or mean that one anticipates to occur over a long series of trials in a random experiment.

Pair Of Dice

Two small cubes with faces marked from one to six, used in games to generate random numbers through tossing.

Expected Profit

The forecasted average of possible profits from an investment, considering probabilities of different outcomes.