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?

Respuesta :

Answer:

0.55

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:

[tex]\begin{gathered} E(X)=\sum xP(x) \\ =(0\times0.5)+(1\times0.45)+(2\times0.05) \\ =0+0.45+0.1 \\ =0.55 \end{gathered}[/tex]

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

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