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.
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...
x 20 The lifetime, in years, of a certain type of pump is a random variable with probability density function 3 (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...
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
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].
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