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question 20 (4 points) the probability distribution for the number of p…

Question

question 20 (4 points) the probability distribution for the number of pages that julie can read in an hour is given below. what is the expected number of pages that julie will read in any hour? upload a copy of your handwritten work showing how you determined your answer for credit. round to the nearest tenth.

n pagesprobability of n pages
100.7
120.1

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 values of the random variable and \(p_i\) are their corresponding probabilities.

Step2: Substitute the values into the formula

Here, \(x_1 = 8\), \(p_1=0.2\); \(x_2 = 10\), \(p_2 = 0.7\); \(x_3=12\), \(p_3=0.1\).

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Answer:

\(9.8\)