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1. Assume that a random variable is normally distributed with a mean of 1,500 and a variance of 324.

a. What is the probability that a randomly selected value will be greater than 1,550?

b. What is the probability that a randomly selected value will be less than 1,485?

c. What is the probability that a randomly selected value will be either less than 1,475 or greater than 1,535?

2. A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution,

a. What value will be exceeded 10% of the time?

b. What value will be exceeded 85% of the time?

c. Determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.

d. What value will 15% of the observations be below?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91676812

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