Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?

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

The expected value for the number of times Todd attends a concert during a month is 0.5.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40