[Step-by-Step] Ticket sales for opening night of a movie have a mean of $2100 with a standard deviation of $450. Assume these ticket sales follow a normal distribution.


Question: Ticket sales for opening night of a movie have a mean of $2100 with a standard deviation of $450. Assume these ticket sales follow a normal distribution.

  1. (2) If a movie is selected randomly, what is the probability that the opening night ticket sales are more than $1620?
  2. (2) If a movie is selected randomly, what is the probability that the opening night ticket sales are between $2000 and $2400?
  3. (2) 10% of the movies shown would have opening night ticket sales of less than what amount?
  4. (2) If a sample of 16 movies is taken from the population what is the probability that the mean of their opening night ticket sales is more than $2300?

E. (2) What is the mean and standard deviation of the sampling distribution used in part D? Mean = Standard deviation =

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