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.

1. 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.

A. = ?? (round to one decimal place as needed)

OR

B. the table is not a probability distribution

2. find the standard deviation of the random variable x. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. = ??

OR

B. the table is not a probability distrubution

Explanation / Answer

For a distribution to be a valid probability distribution:

1) All the probabilities should be between 0 and 1, inclusive. [This condition is getting satisfied.]

2) The sum of all probabilities should be 1.

Here,

Sum = 0.001 + 0.031 + 0.111 + 0.231 + 0.408 = 0.782

Which is not equal to 1 and hence, this is not a valid probability distribution.

Therefore,

1. The table is not a probability distribution. Option B is correct.

2. The table is not a probability distribution. Option B is correct.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.