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In: Statistics and Probability

4. A lift has an occupancy warning of no more than 25 people and of total...

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 them and the weight Y of all goods for a person with weight X in kg is R(1, 7).

i. Let U = X + Y , calculate mean and variance of U.

ii. What is an approximate probability that a random sample of 25 people in the lift exceeds 1950kg?

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orchestra answered 2 years ago
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