1. The weight of goats at a farm is normally distributed with a mean of 60 kg and a standarddeviation of 10 kg. A truck used to transport goats can only accommodate not more than 650kg. If 10 goats are selected at random from the population, what is the probability that thetotal weight exceeds the maximum weight?2. The blood groups of 200 people are distributed as follows: 40 have type A blood, 75 have typeB blood, 60 have type O blood, and 25 have type AB blood. If a person from any of the group isselected at random, what is the probability that this person has an O blood type? How aboutthe AB blood type?3. The number of accidents in a production facility has a Poisson distribution with a mean of 2.7per month. For a given month, what is the probability that there will be more than three (3)accidents?

Let T denote the total weight of 10 goats. Since weight of goats follows N(mean = 60, SD = 10), then…

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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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