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Exam 3: Probability Distributions

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Question 51

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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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To graph a uniform distribution on the i...

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Question 52

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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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Question 53

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

The high school GPAs of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories. $\begin{array} { l l } \mathrm { GPA } & f ( x ) \\\hline x < 2.0 & .08 \\2.0 \leq x < 2.5 & .12 \\2.5 \leq x < 3.0 & .35 \\3.0 \leq x < 3.5 & .30 \\3.5 \leq x &\end{array}$ 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?