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Chapter 8: Q.8.82 (page 482)

The Ice Chalet offers dozens of different beginning iceskating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

State the estimated distribution ofX.X~________

Short Answer

Expert verified

The estimated distribution ofXisX~N(np,npq).

Step by step solution

01

Step: Given information

Given in the question that, there are 64 girls and 16 boys in a skating class. Suppose we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice skating classes ate the Ice Chalet.

We have to state the estimated distribution ofX

02

Solution

The Xis an estimated distribution that follows the normal distribution having the parameters of N(np,npq)

Where,

n=number of trails

p=probability of successes

Therefore, the estimated distribution ofXisX~N(np,npq)

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