Exam 5: Probability Distributions

If X represents the number of times that a head is followed by a tail obtained in four tosses of a fair coin, find the probability distribution of X. Write the probabilities using decimal numbers.

The variance rather than the standard deviation, is the appropriate measure of spread.

About 78% of children in a neighborhood have a bicycle. Suppose n = 4 children are randomly selected. Find the probability that at most two have a bicycle. Round your answer to two decimal places.

The accompanying table shows the percentages of students in the state university system when classified according to gender and status as residents of that state. Suppose that a selection of a person is considered a trial and it is a success when the person selected is a resident of that state. Five females are selected at random. What is the probability that none is a state resident? Round your answer to three decimal places.

A probability distribution is partially given in the following table with the additional information that the even values of X are equally likely. Determine the missing entries in the table.

Consider the probability distribution given by the function for Find f(5). Round your answer to three decimal places.

If p is the probability of success and q is the probability of failure, then the probability of X = 5 for 8 Bernoulli trials is:

Calculate the standard deviation of the distribution of X.

With X denoting the number of 1's or 2's in two rolls of a fair die, calculate the mean of X. Round your answer to two decimal places.