Question

suppose the 5% of the time Danny attends a concert twice a week. 45% of the time he attends a concert once a week. and 50% of the time he doesn’t attend a concert at all in a given week. what is the expected value for the number of times Danny attends a concert during a week?

Answer 1

Answer is 0.55 ///… ..

Answer 2

0.55

Step-by-step explanation:

From the question, the number an dpercentage at which Danny attends concerts are;

• Twice a week 5% of the time.

,

• Once a week, 45% of the time.

,

• 0 times a week, 50% of the time.

Let X be a random variable representing the number of times Danny attends a concert during a week. The table below shows the disdtibution of X.

Next, we find the expected value for the number of times Danny attends a concert during a week:

`\begin{gathered} E(X)=\sum xP(x) \\ =(0*0.5)+(1*0.45)+(2*0.05) \\ =0+0.45+0.1 \\ =0.55 \end{gathered}`

Therefore, the expected value for the number of times Danny attends a concert during a week is 0.55.