
Let descrete random variable X ~ Poisson(7). Find: 1) Probability P(X = 8) 2) Probability P(X...
Let descrete random variable X ~ Bin(9,0.4) Find: 1) Probability P(X> 4) 2) Probability P(X> 2) 3) Probability P(2<X<5) 4) Probability P(2<X<5) 5) Probability P(X=0) 6) Probability P(X=6) 7) ux 8) TX Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Let descrete random variable X ~ Bin(9,0.4) Find: 1) Probability P(X>4) 2) Probability P(X> 2) 3) Probability P(2 <X<5) 4) Probability P(2<X<5) 5) Probability P(X =0) 6) Probability P(X =6) 7) ux 8) OX Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Let descrete random variable X - Bin(9,0.3) Find: 1) Probability P(X>5) 2) Probability P( X 2 ) 3) Probability P(2<x<5) 4) Probability P(2<x<5) 5) Probability P(X=0) 6) Probability P(X= 7) 7 Mx 8) Ox Show your explanations. Displaying only the final answer is not enough to get credit Note: round calculated numerical values to the fourth decimal place where applicable.
If continuous random variable X~ N(6,4), compute * 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5<X<2.5) 4) Probability P(-2.<X-2<5.) Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
If continuous random variable X~ N(6,4), compute 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5 <X<2.5) 4) Probability P(-2.<X – 2<5.) Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Find the variance of random variable X. 7.. Let X be a continuous random variable whose probability density function is: -(2x3 + ar', if x E (0:1) if x (0;1) Find 1) the coefficient a; 2) P(O.5eX<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given X 8 -2 0 2 8
If X is a Poisson variable such that P(X=2)=3/10 and P(X=1)=1/5. Then P(0.2<X<2.9)+P(X=3.5) equal to A discrete random variable X has a cumulative distribution function defined by F(x) (x+k) for x = 0,1,2 Then the value of k is 16
The lifetime, in years, of a certain type of pump is a random variable with probability density function x 20 (x+1) 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find the...
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].
4. Let X be a continuous random variable defined on the interval [1, 10 with probability density function r2 (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is larger than 8 or less than 2 (this should be one number! (c) Find the probability that X is larger than some value a, assuming 1 < a< 10 d) Find the probability that X is more than 3