Calculate P(2.7
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A: Formulae: P(A/B)=P(A∩B)P(B) P(A∪B)=P(A)+P(B)-P(A∩B) P(A-∩B)= P(B)-P(A∩B)
Calculate P(2.7<x<3)
Express your answer in DECIMAL FORM (4 decimal places)
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- Find the value of c so that the function f(x) below is a valid probability density function. f(x)={c(x2+x)0if 0≤x≤1,otherwise.Show that the following are probability density functions (pdf’s):a. f1(x) = e−xI(0,∞)(x)Consider the probability density function f ( x ) = kxe^3x 1≤x≤2 = 0 otherwise Find (a)k (b)mean (c)σ^2
- Determine the covariance for the joint probability density function fxy(x,y) = c*x*y over the range 0 < x < 10 and 0 < y < xShow that f(x)f(x) is a probability density function,Find the value of k that makes the given function a probability density function on the specified interval.f(x) = kx2, 0 ≤ x ≤ 2