Question

number of thunderstorms during august
number of storms 0 1 2 3
probability 0.2 0.2 0.4 0.2
how many storms should we expect in august?

Explanation:

Step1: Recall the formula for expected value

The formula for the expected value \(E(X)\) of a discrete random variable is \(E(X)=\sum_{i}x_{i}p_{i}\), where \(x_{i}\) are the possible values and \(p_{i}\) are their corresponding probabilities.

Step2: Identify the values and probabilities

Here, \(x_1 = 0\), \(p_1=0.2\); \(x_2 = 1\), \(p_2 = 0.2\); \(x_3=2\), \(p_3=0.4\); \(x_4 = 3\), \(p_4=0.2\)

Step3: Calculate the expected value

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Answer:

\(1.6\)