3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact that 14% of children are on the Naughty List. a.) You select 100 children at random. What is the probability that the 5th child you select is on the Nice List? b.) How many children should you expect to select in order to find one on the Nice List? c.) You plan to select children at random until you find a child on the Naughty List. What is the probability that you will have to select more than 7 children?

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Suppose there are 19 students in a class. A teacher has 122 pencils and passes them out to the class. Estimate the number of pencils each student will recive.

The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use a 95% level of confidence to construct a confidence interval for (a) the population variance o2 and (b) the population standard deviation o. Interpret the results. ontents Success 4.478 4.435 4.017 4.304 4.007 3.794 3.827 3.746 4.245 3.982 4.132 4.547 ia Librai 3.975 3.735 3.871 3.837 4.464 (a) The confidence interval for the population variance is ( ). (Round to three decimal places as needed.) Options Tutor