47-50 Expected Value These exercises involve expected value.
Exercise Program Liam goes jogging several times a week. In any given week the probability that he jogs three times is , that he jogs two times is , that he jogs once is , and that he doesn’t go jogging is . Find the expected number of times he goes jogging in any given week.
The expected number of times of Liam goes jogging.
The expected value is given as,
Here, is the number of times Liam goes for jogging, and is the probability of going for jogging three times, two times, one time and doesn’t go for jogging in a week respectively.
The probability of Liam going for jogging three times a week is , two times in a week is , once in a week is and doesn’t go for jogging is .
Calculate the expected number of times Liam goes for jogging in a week.
Substitute for , for , for ,
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