A continuous random variable X has a pdf of the form: f(x) = (632/63) x^4, for 0.08 < X < 0.87. Calculate the mean (mu) of X.
A continuous random variable X has a pdf of the form: f(x) = (632/63) x^4, for...
A continuous random variable X has a pdf of the form: f(x) = (431/847) x^4, for 0.46 < X < 1.58. Calculate P(1.04<X<1.20).
(b) Let X be a continuous random variable with pdf given by: f(x) =c#x Find the constant c so that f(x) is a pdf of a random variable. C (ii) Find the distribution function F(x)P(X Sx)X (ii) Find the mean and variance of X. .Col니loa, ,iaaa4
A continuous random variable, X, has a pdf given by f(x) = cx2 , 1 < x < 2, zero otherwise. (a) Find the value of c so that f(x) is a legitimate p.d.f. [Before going on, use your calculator to check your work, by checking that the total area under the curve is 1.] (b) Use the pdf to find the probability that X is greater than 1.5. (c) Find the mean and variance of X. Your work needs...
Let X be a continuous random variable whose PDF is Let X be a continuous random variable whose PDF is: f(x) = 3x^2 for 0 <x<1 Find P(X<0.4). Use 3 decimal points.
2. Suppose that the continuous random variable X has the pdf f(x) = cx3:0 < x < 2 (a) Find the value of the constant c so that this is a valid pdf. (10 pts) (b) Find P(X -1.5) (5 pts) (c) Find the edf of X use the c that you found in (a). (Hint: it should include three parts: x x < 2, and:2 2) (20 pts) 0,0 <
A continuous random variable X has cdf F given by: F(x)x3, x e [0,1] (1, x〉1 a) Determine the pdf of X b) Calculate Pi<X <3/4 c) Calculate E X]
(a) Let X be a continuous random variable with the cdf F(x) and pdf f(.1). Find the cdf and pdf of |X|. (b) Let Z ~ N(0,1), find the cdf and pdf of |Z| (express the cdf using ” (-), the cdf of Z; give the explicit formula for the pdf).
X is a continuous random variable, f(x) is the probability density function (pdf) of X, and F(x) is the cumulative distribution function of X. Then for any two numbers a and b with a < b, which of the following are true? Circle all correct answers. A. B. C. D. 5. If X is a normally distributed random variable with a mean of 36 and a standard deviation of 12, then the probability that X exceeds 36 is: A. .5000...
7. Let X be a continuous random variable with a known pdf of f(x) = led for x>0 and being a constant. If the mean value of X is 1/3, then find the median value of X. Give your answer as a decimal rounded to four places (i.e. X.XXXX). Hint: Hmm...this looks familiar...see (6).
(22pts) 6. Suppose X is a continuous random variable with the pdf f(x) is given by $(x) = { 1 + 2 OSIS 1; Osasi otherwise. (4 pts) a Verify f(x) is a valid pdf. (4 pts) b. Find the cumulative distribution function (cdt) of X (4 pts) c. Find P(OSX30.5). (5 pts) d. Find E(X). (5 pts) e. Find V(x)