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 girls Ted approaches before encountering one who reacts positively. Determine whether the table describes a probability distribution. If it​ does, find its mean and standard deviation.

x P(x)

1 0.002

2 0.033

3 0.129

4 0.261

5 0.192

Find the mean μ 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 is not a probability distribution.

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

A. σ=______(Round to one decimal place as​ needed.)

B. The table is not a probability distribution.

Answer 1

Solution :

The sum of the probability is equal to 1 .

P(X) = 1

First we have to check the table is a probability distribution or not .

1 = 0.002 + 0.033 + 0.129 + 0.261+ 0 .192 = 0.617

1 0.617

Here sum of the probability is not equal to 1 so we cant find mean and standard deviation .

Mean = = X * P(X)

B. The table is not a probability distribution.

Standard deviation =

B. The table is not a probability distribution.