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Question 1
The mean daily milk production of a herd of goats has a normal distribution with a mean of 70kg and a standard deviation of 13kg. What is the probability that
a) the milk production for a goat chosen at random will be less than 60kg?
b) the milk production for a goat chosen at random will be greater than 90kg? c) the milk production for a goat chosen at random will be between 60kg and 90kg?
Question 2
An assessment test is used to measure a person’s readiness for college. The mathematics scores in the test are scaled to have a normal distribution with a mean of 500 and a standard deviation of 100. What proportion of the people taking the test will score below 350? Remedial assistance will be given to students in the bottom 10%. What is the maximum score of this group of students?
Question 3
A certain type of thread is manufactured with a mean tensile strength of 78.3kg and a standard deviation of 5.6kg. Assuming that the strength of this type of thread is distributed approximately normal, find a) the probability that the mean strength of a random sample of 10 such threads falls between 77kg
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