5. Suppose the length of time of a whale's song is normally distributed with mean 12.5 minutes and standard deviation 2.6 minutes. a. Find the probability that a whale's song will last more than ten minutes. b. Find the probability that a whale's song will last between eight and sixteen minutes. c. Find the probability that a whale's song lasts less than five minutes or longer than twenty minutes. d. Find the length of time such that only 5% of whale's songs last longer than that length of time. e. Find the length of time such that only 10% of whale's songs are shorter than that length of time.

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3.4.5
5. Suppose the length of time of a whale's song is normally distributed with mean 12.5 minutes and
standard deviation 2.6 minutes.
a. Find the probability that a whale's song will last more than ten minutes.
b. Find the probability that a whale's song will last between eight and sixteen minutes.
c. Find the probability that a whale's song lasts less than five minutes or longer than twenty
minutes.
d. Find the length of time such that only 5% of whale's songs last longer than that length of time.
e. Find the length of time such that only 10% of whale's songs are shorter than that length of time.
Transcribed Image Text:3.4.5 5. Suppose the length of time of a whale's song is normally distributed with mean 12.5 minutes and standard deviation 2.6 minutes. a. Find the probability that a whale's song will last more than ten minutes. b. Find the probability that a whale's song will last between eight and sixteen minutes. c. Find the probability that a whale's song lasts less than five minutes or longer than twenty minutes. d. Find the length of time such that only 5% of whale's songs last longer than that length of time. e. Find the length of time such that only 10% of whale's songs are shorter than that length of time.
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