1. In a city, it is estimated that the maximum temperature in June is normally distributed with a mean of 28° and a standard deviation of 5.4°. Calculate the number of days in this month in which it is expected to reach a maximum of between 22° and 31°.

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application of the normal
distribution
Description
1. In a city, it is estimated that the
maximum temperature in June is
normally distributed with a mean of
28° and a standard deviation of 5.4°.
Calculate the number of days in this
month in which it is expected to reach
a maximum of between 22° and 31°.
2. The mean weight of 800 college
students is 56 kg and the standard
deviation is 5 kg. Assuming that the
weight is normally distributed,
determine how many students weigh:
a. Between 60 kg and 70 kg.
b. More than 68 kg.
3. Several intelligence tests follow a
normal distribution with a mean of 100
and a standard deviation of 15.
a. Determine the percentage of the
population that would obtain a score
between 95 and 110.
b. For a population of 2,500, how many
are expected to have a score above
125?
Transcribed Image Text:application of the normal distribution Description 1. In a city, it is estimated that the maximum temperature in June is normally distributed with a mean of 28° and a standard deviation of 5.4°. Calculate the number of days in this month in which it is expected to reach a maximum of between 22° and 31°. 2. The mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. Assuming that the weight is normally distributed, determine how many students weigh: a. Between 60 kg and 70 kg. b. More than 68 kg. 3. Several intelligence tests follow a normal distribution with a mean of 100 and a standard deviation of 15. a. Determine the percentage of the population that would obtain a score between 95 and 110. b. For a population of 2,500, how many are expected to have a score above 125?
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