Question

the pointer shown to the right can land on every number, and the respective probability that the pointer can land on is shown in the table below. compute the expected value for the number on which the pointer lands. the expected value for the number on which the pointer lands is
(type an integer or a decimal.)

Explanation:

Step1: Recall the formula for expected value

The formula for the expected value \( E(X)\) of a discrete random variable is \( E(X)=\sum_{i}x_ip_i\), where \( x_i\) are the outcomes and \( p_i\) are their corresponding probabilities.

Step2: Substitute the values into the formula

For \( x_1 = 1\), \( p_1=\frac{1}{4}\); for \( x_2 = 2\), \( p_2=\frac{1}{4}\); for \( x_3 = 3\), \( p_3=\frac{1}{8}\); for \( x_4 = 4\), \( p_4=\frac{3}{8}\).

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Answer:

\(2.625\)