the proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function f(x)= 2 (x+2) / 5 and 0 < X < 1 What is the probability X < 0.2 ?
the proportion of people who respond to a certain mail-order solicitation is a continuous random variable...
SALII II The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function (2(x + 2) f(x = 0<x<1 5 elsewhere a) Find the probability that more than 14 but fewer than 1/2 of the people contacted will respond to this type of solicitation. b) Find the expected value of X, E(X). [Note: E(X) is the mean value] c) Find the standard deviation.
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following probability density function: f(x) = {kx +.2, 3<x<5 0 otherwise a) what is the value of K b) what is the mean of x c) Fx(4) =
1. Let X be a continuous random variable with probability density function f(x) = { if x > 2 otherwise 0 Check that f(-x) is indeed a probability density function. Find P(X > 5) and E[X]. 2. Let X be a continuous random variable with probability density function f(x) = = { SE otherwise where c is a constant. Find c, and E[X].
(e) A continuous random variable X has the probability density function given by: f(x) = ( 2x/√ k for 0 ≤ x ≤ 2 0 otherwise. i. Show that the constant k equals 16. ii. Find the expected value of X. iii. Find the variance of X. iv. Derive the cumulative distribution function, F(x). v. Calculate P(X < 1 | X < 1.5)
14. The lifetime (in hours) of a certain piece of equipment is a continuous random variable X having range 0 x0 and density function xe s(x)-100 0, otherwise (a) Show that this is a density function (b) Compute the probability that the lifetime exceeds 20 hours, Prix> 20.
PLEASE ANSWER ALL QUESTION 1 1 points Save Answer A random variable is a uniform random variable between 0 and 8. The probability density is 1/8, when 0<x<8 and O elsewhere. What is the probability that the random variable has a value greater than 2? QUESTION 2 1 points Save Answer The total area under a probability density curve of a continuous random variable is QUESTION 3 1 points Save Answer X is a continuous random variable with probability density...
1. A continuous random variable has probability density function f(x) = 2x for all 0 < x < 1 and f(x) = 0 for all other 2. Find Prli <x< 1. O 1 16 O OP O . O 1
The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. f(x) = 2/(x+ 272 #x20 0 otherwise (A) Find the probability that a randomly selected clock lasts at most 5 years (B) Find the probability that a randomly selected clock radio lasts from 5 to 11 years (C) Graph y = f(x) for [011] and show the shaded region for part (A)
please 6 and 7 6. (3.18, 20) A continuous random variable X that can assume values between r = 2 and x = 5 has a density function given by f(x) = 2(1+x)/27. Find the Cumulative Distribution Function F(x). 7. (3.14) The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with a cumulative distribution function x<0, F(x) = -e-41, x20 Find the probability of waiting between 3 to 7 minutes a)...
Q 2. The probability density function of the continuous random variable X is given by Shell, -<< 0. elsewhere. f(x) = {&e*, -40<3<20 (a) Derive the moment generating function of the continuous random variable X. (b) Use the moment generating function in (a) to find the mean and variance of X.