Suppose you sample one value from a uniform distribution with a 0 and b-20. a. W

Question

Suppose you sample one value from a uniform distribution with a 0 and b-20. a. What is the probability that the value will be between 11 and 17? b. What is the probability that the value will be between 4 and 87 c. What is the mean? d. What is the standard deviation? a. The probability that the value will be between 11 and 17 is (Type an integer or a decimal.) b. The probability that the value will be between 4 and 8 is Type an integer or a decimal.) C. The mean of the given uniform distribution is ? (Type an integer or a decimal.) d. The standard deviation of the given uniform distribution is Round to four decimal places as needed.) 12

Explanation / Answer

solution:-
given that a = 0 , b = 20
a. p(11 < x < 17) = (17 - 11)/(20 - 0) = 0.3
b. p(4 < x < 8) = (8 - 4)/(20 - 0) = 0.2
c. mean = (0 + 20) / 2 = 10
d. standard deviation = sqrt((20 - 0)^2)/12))
= 5.7735

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