The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:1. The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard
deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650
kg. If 10 goats are selected at random from the population, what is the probability that the
total weight exceeds the maximum weight?
2. The blood groups of 200 people are distributed as follows: 40 have type A blood, 75 have type
B blood, 60 have type O blood, and 25 have type AB blood. If a person from any of the group is
selected at random, what is the probability that this person has an O blood type? How about
the AB blood type?
3. The number of accidents in a production facility has a Poisson distribution with a mean of 2.7
per month. For a given month, what is the probability that there will be more than three (3)
accidents?
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