Consider a random variable X that has a uniform distribution on the interval 10 to 100.  a. Find the pdf for x b. Find the cdf for x c. What is the mean of x? d. What is the standard deviation of x? e. Find the probability that x takes on a value within 1 standard deviation of the mean. Draw a picture to illustrate it using the pdf. f. Using the cdf, find the probability that x takes on a value less than 75. Draw a picture using the cdf to illustrate your answer.

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Consider a random variable X that has a uniform distribution on the interval 10 to 100. 

a. Find the pdf for x

b. Find the cdf for x

c. What is the mean of x?

d. What is the standard deviation of x?

e. Find the probability that x takes on a value within 1 standard deviation of the mean. Draw a picture to illustrate it using the pdf.

f. Using the cdf, find the probability that x takes on a value less than 75. Draw a picture using the cdf to illustrate your answer. 

f.

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