Normal Distribution Exercise Set

# Normal Distribution Exercise Set - Normal Distribution...

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Normal Distribution Exercise Set I. 1) The random variable Z has µ = ______ and σ = _____. 2) P(0 < z < 1.53) = 3) P( z > -2.18) = 4) Find the value of z o , such that P( -z o < z < z o ) = .92. 5) Find the value of z o , such that P(z < z o ) = .3015. II. The random variable X is normally distributed with mean 80 and standard deviation 12. 1) What is the probability that a value of X chosen at random will be between 65 and 95? 2) What is the probability that a value of X chosen at random will be less than 74? III . The random variable X is normally distributed with mean 65 and standard deviation 15. Find x o , such that P(x > x o ) = .6738. IV . The scores on a placement test have a mound-shaped distribution with mean 400 and standard deviation 45. 1) What percentage of people taking this exam will have scores of 310 or greater? 2) What percentage of the people taking this test will have scores between 445 and 490? V.

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Normal Distribution Exercise Set - Normal Distribution...

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