Answer:
The expected value for the number of times Todd attends a concert during a month is 0.5.
Step-by-step explanation:
We have these following probabilities:
5% probability of attending a concert twice a month, which means that P(X = 2) = 0.05
40% probability of attending a concert once a month, which means that P(X = 1) = 0.4
55% probability of not attending a concert during the month, which means that P(X = 0) = 0.55
What is the expected value for the number of times Todd attends a concert during a month?
We multiply each value by its probability. So
[tex]E(X) = 0.05*2 + 0.4*1 + 0.55*0 = 0.1 + 0.4 = 0.5[/tex]
The expected value for the number of times Todd attends a concert during a month is 0.5.