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 $359.351 million with a standard deviation of $126.6638 million. Given this information, 97.75% of movies grossed less than how much money (in millions)? Assume the distribution is approximately normal.

1) 31,802.76

2) 613.27

3) We do not have enough information to calculate the value.

4) 105.43

5) 32,521.46

Explanation / Answer

From standard normal table,

z score corresponds to 97.75% area to its left = 2.005

Hence,

97.75% of movies grossed less than (359.351 + 2.005*126.6638) i.e. 613.27 millions.

Option 2) is correct.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.