Suppose that f (x) = 1.5X2 for -1 < X < 1 . Determine the following...
Suppose that f(x) - or 0<X<8 256 Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765) (a) P(X < 2)=7456 (b) P(X< 9) = (d) P(X > 5)- 316 (e) Determine such that P(x x)-0.90 X6.302
Suppose that f(x) -ex4) for 4 <x. Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765 a) P(1< X)= c) P(S < X)- d) P(8< X < 12)- e) Determine x such that P(X < x) = 0.68 . Round your answer to 3 decimal places (eg 98.765)
1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%) Determine k such that f(x) is a probability density function. b) (6%) Determine CDF of x. c) (4%) Using CDE, what is the p(x 0.75) d) (4%) Using CDE what is p(x<0.6) e) (4%) Determine E(x) Type here to search o TT
Let f(x,y) = exp(-x) be a probability density function over the plane. Find the probabilities: Parta)P( X2 + y2 <a), a > 0, Part b)P(x2 + y2 <a), a > 0.
4-1. Suppose that f(x)-e-x for 0 < x. Determine the fol- lowing probabilities: (c) P(X= 3) (e) P(3 s x) (d) P(X<4)
Question 9 Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765). b) P(2 s X <5)- c) P(5 < X)- d) P(8 < X <12) e) Determine x such that P(X <x) 0.68 Round your answer to 3 decimal places (e.g. 98.765).
Suppose that f(x) =1.5x2 for -1 < x < 1. What is P(0<x)? For the function listed above, what is P(-0.5< X < 0.5)? Still using the function above, what is P(X<-3)?
Suppose that f(x) = e-x for x > 0. Determine the following probabilities: Round your answers to 4 decimal places. a) P(X=3)
Determine the value of c that makes the function f (x, y) = cxy a oint probability density function over the range 0 < x < 3 and 0 < y < x c= Round your answer to four decimal places (e.g. 98.7654) Determine the following: (a) P(X 1.4,Y < 2.1)- Round your answer to three decimal places (e.g. 98.765). Round your answer to three decimal places (e.g. 98.765) (c) P(Y> 1)= Round your answer to three decimal places (e.g....
Suppose the cumulative distribution function of the random variable X is 0, x-0.8 F(x)-0.25x + 0.2,-0.8 sx <3.2 1,3.2 sx Round your answers to 3 decimal places Determine the following ) P(X 1.8)-065 b) P(X >-1.5) = c) P(X -2) exact number, no tolerance