(i) A car test for people older than 16 is appox normally distributed with mean =...
(i) A car test for people older than 16 is appox normally distributed with mean = 100 and standard Deviation = 15.
Calculate the probability that a random person has a test score of 105 or more?
(ii) What is the mean and standard deviation for a random sample of 60 people.
(iii) what is the probability that the average test score of a random sample of 60 people is 105 or more?
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(i) A car test for people older than 16 is appox normally
distributed with mean =...
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Intelligence quotient (IQ) scores are often reported to be normally distributed with a mean of 100 and a standard deviation of 15. (a) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be less than 95? (b) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be more than 95? (c) If a random sample of 50 people is taken,...
2. Given a test that is normally distributed with a mean of 100 and a standard...
2. Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find: (a) the probability that a single score drawn at random will be greater than 110 (relevant section) (b) the probability that a sample of 25 scores will have a mean greater than 105 (relevant section) (c) the probability that a sample of 64 scores will have a mean greater than 105 (relevant section) (d) the probability that the mean of...
4. A lift has an occupancy warning of no more than 25 people and of total weight no more than 1950kg. For a population of users, suppose weights are normally distributed with mean 75kg and standa...
4. A lift has an occupancy warning of no more than 25 people and of total weight no more than 1950kg. For a population of users, suppose weights are normally distributed with mean 75kg and standard deviation 10kg (a) What is the probability that the total weight of a random sample of 25 people from the population exceeds 1950kg? (b) Calculate the probability that a random sample of 24 people sets the alarm off. (c) Suppose people carry things with...
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Suppose IQs are normally distributed with a mean of 100 and a standard deviation of 16....
Suppose IQs are normally distributed with a mean of 100 and a standard deviation of 16. a) If one person is randomly selected, what is the probability that the person’s IQ is higher than 90 but lower than 115? b) If eight people are randomly selected, what is the probability that the sample mean IQ is higher than 90 but lower than 115?
4. A lift has an occupancy warning of no more than 25 people and of total weight no more than 1950kg. For a population of users, suppose weights are normally distributed with mean 75kg and standard de...
4. A lift has an occupancy warning of no more than 25 people and of total weight no more than 1950kg. For a population of users, suppose weights are normally distributed with mean 75kg and standard deviation 10kg. (a) What is the probability that the total weight of a random sample of 25 people from the population exceeds 1950kg? (b) Calculate the probability that a random sample of 24 people sets the alarm off. (c) Suppose people carry things with...
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2. Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find: (a) the probability that a single score drawn at random will be greater than 110 (relevant section) (b) the probability that a sample of 25 scores will have a mean greater than 105 (relevant section) (c) the probability that a sample of 64 scores will have a mean greater than 105 (relevant section) (d) the probability that the mean of...
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