Suppose that each ticket costs 5 and the total cost of

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Concert attandance depends on the weather. There are three possible types of weather on the day of the concert: terrible, with probability 20%, mediocre, with probability 60%, and great, with probability 20%. Concert attendance is expacted to be 500 people if the weather is terrible, 1000 people if the weather is mediocre, and 2000 people if the weather is great.

(a) Let X denote the attendance. Why is X a random variable?

(b) What is the expected attendance, E(X)?

(c) Suppose that each ticket costs $5 and the total cost of giving the concert is fixed and equal $2000. Then, if Y denotes profit from the concert, we have Y = 5X - 2000. What is the expected profit?

(d) Find the standard deviation of profit Y.

Reference no: EM13641827

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