Question
Action movie star (and tough guy) Chuck N. has starred in two recent movies (movies A and B) to be released next summer. The studio
Action movie star (and tough guy) Chuck N. has starred in two recent movies (movies A and B)
to be released next summer. The studio in charge of producing the movies, Norris Pictures, has
estimated that the gross sales of movie A (i.e., the total value of tickets sold) is normally
distributed with mean $17M and standard deviation $5M. Similarly, the studio has estimated that
the gross sales of movie B has a normal distribution with mean $19M and standard deviation
$4M. Finally, the studio has also determined that, given the common features of the two movies
(similar plot and identical cast), their sales will be correlated with a correlation coefficient of 0.8.
What is the probability that the gross sales of movie A will be less than $10M?
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