A certain list of movies were chosen from lists of recent Academy Award Best Pic

Question

A certain list of movies were chosen from lists of recent Academy Award Best Picture winners, highest grossing movies, series movies (e.g. the Harry Potter series, the Spiderman series), and from the Sundance Film Festival and are being analyzed. The mean box office gross was $390.328 million with a standard deviation of $110.6248 million. Given this information, 27.76% of movies grossed greater than how much money (in millions)? Assume the distribution is approximately normal. Question 11 options: 1) 325.06 2) We do not have enough information to calculate the value. 3) 455.6 4) 6,829.83 5) 7,610.49

Explanation / Answer

z score corresponding to 0.2776 area to its right = 0.59

Hence,

Required gross amount = 390.328 + 0.59*110.6248 = 455.6

Option 3 is correct.

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