Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 56x6(1 − x) 0 < x < 1 0 otherwise (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) (e) Compute E(X) and ?X. (Round your answers to four decimal places.) E(X) = ?X = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 56x6(1 − x) 0 < x < 1 0 otherwise (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) (e) Compute E(X) and ?X. (Round your answers to four decimal places.) E(X) = ?X = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 56x6(1 − x) 0 < x < 1 0 otherwise (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) (e) Compute E(X) and ?X. (Round your answers to four decimal places.) E(X) = ?X = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below.
f(x) =
56x6(1 − x)
0 < x < 1
0
otherwise
(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.)
(e) Compute E(X) and ?X. (Round your answers to four decimal places.)
E(X)
=
?X
=
(f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
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