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) 0.089 1 0.349 0.411 3 0.151 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. O D. No, not every probability is between 0 and 1 inclusive. O E. No, the random variable x's number values are not associated with probabilities.

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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)
0.089
1
0.349
0.411
3
0.151
Does the table show a probability distribution? Select all that apply.
A. Yes, the table shows a probability distribution.
B. No, the sum of all the probabilities is not equal to 1.
O C. No, the random variable x is categorical instead of numerical.
O D. No, not every probability is between 0 and 1 inclusive.
O E. No, the random variable x's number values are not associated with probabilities.
Transcribed Image Text: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) 0.089 1 0.349 0.411 3 0.151 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x is categorical instead of numerical. O D. No, not every probability is between 0 and 1 inclusive. O 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.
OA.
adult(s) (Round to one decimal place as needed.)
O 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 cho
OA.
adult(s) (Round to one decimal place as needed.)
B. The table does not show a probability distribution.
Transcribed Image Text: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. OA. adult(s) (Round to one decimal place as needed.) O 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 cho OA. adult(s) (Round to one decimal place as needed.) B. The table does not show a probability distribution.
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