Could I get some help with this

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 0.024
3 0.107
4 0.248
5 0.413

Find the mean μ of the random variable x μ= σ =
(Round to one decimal place as needed.)

Answer 1

Lewis,

 

For this to be a probability distribution, all P(X) must be less than 1 (check!) and all probabilities must sum to 1. In this case: .002+.024+.107+.248+.413=.794. Since this does not sum to 1, we do not have all the possible outcomes so this is not a probability distribution. Hope that helps!