Ted is not particularly creative. He uses the pickup line \"If I could rearrange

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

0.0020.002

2

0.0220.022

3

0.1360.136

4

0.2030.203

5

0.3730.373

Find the mean

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

A.

muequals=?

(Round to one decimal place as needed.)

B.

The table is not a probability distribution.

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

A.

sigmaequals=?

(Round to one decimal place as needed.)

B.

The table is not a probability distribution.

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

0.0020.002

2

0.0220.022

3

0.1360.136

4

0.2030.203

5

0.3730.373

Explanation / Answer

Solution:- 0.002+0.022+0.136+0.203+0.373 = 0.736 Since this does not sum to 1, we do not have all the possible outcomes so this is not a probability distribution .   

1) option B. The table is not a probability distribution.

2) option B. The table is not a probability distribution.

Hint:-  probability distribution, all probabilities must sum to 1

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