Let X denote the amount of space occupied by an article placed in a 1-ft3 packing...

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) = 42x5(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Obtain the cdf of X. F(x) = 0 x < 0 Correct: Your answer is correct. 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) What is P(X ≤ 0.6) [i.e., F(0.6)]? (Round your answer to four decimal places.) 0.1586 Correct: Your answer is correct. (c) Using the cdf from (a), what is P(0.3 < X ≤ 0.6)? (Round your answer to four decimal places.) 0.1548 Correct: Your answer is correct. What is P(0.3 ≤ X ≤ 0.6)? (Round your answer to four decimal places.) (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.1063 Incorrect: Your answer is incorrect. (e) Compute E(X) and σX. (Round your answers to four decimal places.) E(X) = σX = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)

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orchestra answered 2 years ago

Let X denote the amount of space occupied by an article placed in a 1-ft3 packing...

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 (a) Graph the pdf. Obtain the cdf of X. F(x) = 0 x < 0 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. (b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.)...

Let X denote the amount of space occupied by an article placed in a 1-ft3 packing...

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 (a) Graph the pdf. Obtain the cdf of X. F(x) = 0 x < 0 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. (b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.)...

Calculating the packing fraction (The percent space occupied by atom) for a hexagonal unit cell requires...

Calculating the packing fraction (The percent space occupied by atom) for a hexagonal unit cell requires a bit more trigonometry than the same calculation for a cubic cell. However, based on your observations, which of the cubic cells would you expect to have the same packing fraction as the hexagonal cell? Explain your reasoning?

Let X denote the amount of time a book on 2-hour reserve in the Killam Library...

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Let V be a Hilbert space. Let f(x) = ∥x∥ for x ∈ V. Using the...

Let V be a Hilbert space. Let f(x) = ∥x∥ for x ∈ V. Using the definition of Frechet differentiation, show that ∇f(x) = x for all x ̸= 0. Furthermore, show that f(x) is not Frechet differentiable at x = 0.

Let PN denote the vector space of all polynomials of degree N or less, with real...

Let PN denote the vector space of all polynomials of degree N or less, with real coefficients. Let the linear transformation: T: P3 --> P1 be the second derivative. Is T onto? Explain. Is T one-to-one? What is the Kernel of T? Find the standard matrix A for the linear transformation T. Let B= {x+1 , x-1 , x2+x , x3+x2 } be a basis for P3 ; and F={ x+2 , x-3 } be a basis for P1 ....

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Let X denote the amount of space occupied by an article placed in a 1-ft3 packing...

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