Question

Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd put U and I​ together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. 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. 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.

Answer 1

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

Explanation:

Given

`\begin{array}{ccccc}x & {0} & {1} & {2} & {3} & {P(x)} & {0.001} & {0.007} & {0.033} & {0.059} \ \end{array}`

Required

Determine if the given parameter is a probability distribution

For a probability distribution to exist, the following must be true;

`\sum P(x)=1`

So, we have:

`\sum P(x) = 0.001 + 0.007 + 0.033 + 0.059`

`\sum P(x) = 0.1`

Hence, it is not a probability distribution because the sum of all probabilities is not 1