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. If a probability distribution is not​ given, identify the requirements that are not satisfied.

x P(x)
1 0.001
2 0.025
3 0.101
4 0.246
5 0.503

Answer 1

Not a probability distribution

Explanation:

The given table doesn't describe a probability distribution as in order for the given distribution to be a probability distribution the sum of probabilities is required to be equal to one.

Here,

Sum of probabilities = 0.001+0.025+0.101+0.246+0.503 = 0.876

The sum of probabilities is not equal to one.

Therefore, the given distribution is not a probability distribution ..