Exam 3: Probability Distributions

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A uniform distribution is defined on the interval from 1 ≤ x ≤ 5.Graph it,and explain how to determine the density function.​

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Z is a standard normal random variable.The P(1.05 \leq z \leq 2.13)equals​

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For an exponentially distributed random variable x with a mean of 8,the probability of x ≤ 8 is .5.

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The high school GPAs of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories. f(x) x<2.0 .08 2.0\leqx<2.5 .12 2.5\leqx<3.0 .35 3.0\leqx<3.5 .30 3.5\leqx a.Complete the table to make this a valid probability distribution. b.What is the probability an applicant's GPA will be below 3.0? c.What is the probability an applicant's GPA will be 2.5 or above?

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