Question

.		x	​P(x)
		1	0.0020.002
		2	0.0280.028
		3	0.1220.122
		4	0.2860.286
		5	0.2760.276

Ted is not particulary 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. It it does, find its mean and standard deviation.

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

1. μ=

Round to one decimal place as needed

or

2. 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.

1. σ=

Round to one decimal place as needed

or

2. The table is not a probability distribution.

Answer 1

From the calculation table, observe that the total probability value not equal to 1.

Therefore, the mean calculation cannot be possible.

Since the total probability value is not equal to 1.

The table is not a probability distribution.(answer)

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The table is not a probability distribution.

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answer for both question is

The table is not a probability distribution.