Question

2) Normal Dist. A survey of students finds that height follows a normal distribution, with the following statistics: Female students: Mean = 65 inches, standard deviation = 3.5 inches. Male students: Mean = 70 inches, standard deviation = 4 inches. a) What is the probability that a randomly selected female student's height is less than 60 inches tall? What is the z-score for this value? b) What is the probability that a randomly selected male student's height is more than 71 inches? What is the z-score for this value? c) Percentage of female students are between 64 and 77 inches tall? What percentage of male students? d) What height doorway can 95% of female students clear without hitting their head? What about for 95% of male students?

          2) Normal Dist.
A survey of students finds that height follows a normal distribution, with
the following statistics:
Female students: Mean = 65 inches, standard deviation = 3.5 inches.
Male students: Mean = 70 inches, standard deviation = 4 inches.
a) What is the probability that a randomly selected female student's
height is less than 60 inches tall? What is the z-score for this value?
b) What is the probability that a randomly selected male student's height
is more than 71 inches? What is the z-score for this value?
c) Percentage of female students are between 64 and 77 inches tall? What
percentage of male students?
d) What height doorway can 95% of female students clear without hitting
their head? What about for 95% of male students?

2) Normal Dist.
A survey of students finds that height follows a normal distribution, with
the following statistics:
Female students: Mean = 65 inches, standard deviation = 3.5 inches.
Male students: Mean = 70 inches, standard deviation = 4 inches.
a) What is the probability that a randomly selected female student's
height is less than 60 inches tall? What is the z-score for this value?
b) What is the probability that a randomly selected male student's height
is more than 71 inches? What is the z-score for this value?
c) Percentage of female students are between 64 and 77 inches tall? What
percentage of male students?
d) What height doorway can 95% of female students clear without hitting
their head? What about for 95% of male students?

Added by Sandra C.

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