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 0.0380.038 3 0.1330.133 4 0.2580.258 5 0.3020.302

Answer 1

Solution:- The table does not describes a probability distribution.

$\sum P(x)$ = 0.002 + 0.038 + 0.133 + 0.258 + 0.302

$\sum P(x)$ = 0.7312

Since the sum of all the probabilities is not 1, hence this table does not describes a probability distribution.