Question

in a survey, cell - phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. 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.
does the table show a probability distribution? select all that apply.
a. yes, the table shows a probability distribution
b. no, the random variable x is categorical instead of numerical
c. no, the sum of all the probabilities is not equal to 1
d. no, not every probability is between 0 and 1 inclusive
e. no, the numerical values of the random variable x 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. μ=
(round to one decimal place as needed.)
b. the table does not show a probability distribution

Explanation:

Step1: Check probability - distribution requirements

For a probability - distribution, the random variable should be numerical, all probabilities should be between 0 and 1 inclusive, and the sum of all probabilities should be 1. Here, the random variable \(x\) (left, right, no preference) is categorical instead of numerical.

Step2: Determine answer for probability - distribution question

Since the random variable is categorical, the table does not show a probability distribution.

Answer:

B. No, the random variable \(x\) is categorical instead of numerical
B. The table does not show a probability distribution