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, 0.0370.037 3, 0.1380.138 4, 0.2220.222 5, 0.3800.380

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. = _____ (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. = ____ (Round to one decimal place as needed.)

B. The table is not a probability distribution.

Explanation / Answer

Note that a probability distirbution must have a total probability of 1.

Here,

0.002+0.037+0.138+0.222+0.380 = 0.779

which is not 1.

HENCE, PLEASE ANSWER OPTION B: THE TABLE IS NOT A PROBABILITY DISTRIBUTION for both items. [ANSWER]

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