Please no written by hand solution and no image 4. A local theater chain with multiple theaters is tracking the daily ticket sales of all theaters. Suppose that X is the daily sale of one theater and it is normally distributed with X sim N( mu , sigma^ overline 2 ) and that each theater is far away from each other so that the sales of each theater X_{i} are i.i.d. a. Suppose mu = 200 sigma ^ 2 = 400 what's the probability that one theater X_{i} will be within 25 tickets of the mean? b. Let overline x be the mean daily ticket sales among n theaters and suppose sigma ^ 2 = 400 How many theaters would the owner of the theater chain have to have in order for the probability to be at least 0.9 that overline x is within 15 ticket sales of mu ? c. Suppose the owner of the theater chain has 10 theaters with mu = 200 sigma ^ 2 = 400 and for each ticket sale, it can generate a profit of $5. What's the probability that the daily profit for the entire theater chain will exceed $10050?.
Please no written by hand solution and no image
4. A local theater chain with multiple theaters is tracking the daily ticket sales of all theaters. Suppose that X is the daily sale of one theater and it is
a. Suppose mu = 200 sigma ^ 2 = 400 what's the probability that one theater X_{i} will be within 25 tickets of the
b. Let overline x be the mean daily ticket sales among n theaters and suppose sigma ^ 2 = 400 How many theaters would the owner of the theater chain have to have in order for the probability to be at least 0.9 that overline x is within 15 ticket sales of mu ?
c. Suppose the owner of the theater chain has 10 theaters with mu = 200 sigma ^ 2 = 400 and for each ticket sale, it can generate a profit of $5. What's the probability that the daily profit for the entire theater chain will exceed $10050?.
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