A random variable X follows the continuous uniform distribution with a lower bou

Question

A random variable X follows the continuous uniform distribution with a lower bound of -7 and an upper bound of 10 a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) f(x) b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) Mean Standard deviation c. Calculate P(X lessthanorequalto -5) (Round intermediate calculations to 4 decimal places and final answer to 4 decimal places.) P(X lessthanorequalto -5)

Explanation / Answer

a)as area =1

hence height*(10-(-7))=1

height=1/17=0.0588

b)mean =(a+b)/2 =(10+(-7))/2 =1.5

std deviation =(b-a)/(12)1/2 =4.91

c)P(X<=5) =(-5-(-7))/17 =2/17 =0.1176

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