C | ezto.mheducation.com/hm.tpr?--0.91 52396768743392-1513305009465 Question 1 (

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C | ezto.mheducation.com/hm.tpr?--0.91 52396768743392-1513305009465 Question 1 (of 6) value 16.66 points A random variable X follows the continuous uniform distribution with a lower bound of -2 and an upper bound of 4. a. What is the height of the density function fx)? (Round your answer to 4 decimal places.) b. What are the mean and the standajd deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation c. Calculate P(Xs-1). (Round intermediate calculations to 4 decimal places and final answer to 4 decimal places.) PIX s-1) References eBook & Resources Worksheet

Explanation / Answer

a)
f(x) = 1/(b-a) = 1/(4 - (-2)) = 1/6 = 0.1667

b)
mean = (A + B)/2 = (4 -2) / 2 = 1

std. dev. = sqrt((b - a)^2/12) = sqrt((4+2)^2/12) = 1.7321

c)
P(x <= -1)
= f(x)*(x - a)
= 1/6*1
= 0.1667

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