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Question #2 A sociologist randomly selects single adults for different groups of? three, and the random variable x is the number in the group who

Question #2

A sociologist randomly selects single adults for different groups of? three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is? given, find its mean and standard deviation. If a probability distribution is not? given, identify the requirements that are not satisfied.

x

?P(x)

0

0.086

1

0.328

2

0.420

3

0.166

Does the table show a probability? distribution? Select all that apply.

A. Yes, the table shows a probability distribution.

B. No, not every probability is between 0 and 1 inclusive.

C. No, the random variable x is categorical instead of numerical.

D. ?No, the sum of all the probabilities is not equal to 1.

E. ?No, the random variable? x's number values are not associated with probabilities.

Find the mean of the random variable x. Select the correct choice below? and, if? necessary, fill in the answer box to complete your choice.

A. ?= _________ ?adult(s) ?(Round to one decimal place as? needed.)

B. The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice below? and, if? necessary, fill in the answer box to complete your choice.

A. ?= __________ ?adult(s) ?(Round to one decimal place as? needed.)

B. The table does not show a probability distribution.

Question #4

Assume that a procedure yields a binomial distribution with n=4 trials and a probability of success of p=0.10. Use a binomial probability table to find the probability that the number of successes x is exactly 2.

View the binomial probabilities table.

image text in transcribed
Binomial Probabilities 512 243

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