Question

make sure to put the values of x from smallest to largest.

c) if you were to draw a histogram for the number of heads, what shape would it be?

bell - shaped

d) find the mean number of heads.

round final answer to 3 decimal places. write your units in the second box.

Explanation:

Step1: Recall the formula for the mean of a discrete probability distribution

The formula for the mean \(\mu=\sum_{i}x_{i}P(x_{i})\)

Step2: Substitute the values from the table into the formula

We have \(x_1 = 0\), \(P(x_1)=\frac{1}{8}\); \(x_2 = 1\), \(P(x_2)=\frac{3}{8}\); \(x_3 = 2\), \(P(x_3)=\frac{3}{8}\); \(x_4 = 3\), \(P(x_4)=\frac{1}{8}\)

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Answer:

\(1.500\), heads