Please answer a,b,c,d Consider a hypergeometric probability distribution with n=3, R=5, and N = 10. a)...
Consider a hypergeometric probability distribution with n = 4, R = 4, and N=8. a) Calculate P(x = 0). b) Calculate P(x>1). c) Calculate P( x 4 ). d) Calculate the mean and standard deviation of this distribution a) P(x = 0) = (Round to four decimal places as needed.) Notes Need all parts answered please
Consider a binomial probability distribution with p 0.55 and n 7. Determine the probabilities below. a) P(x 2) b) P(xs1) c) Px>5) a) P(x = 2 (Round to four decimal places as needed.) b) Ps1)- (Round to four decimal places as needed.) c) P(X> 5)= □ (Round to four decimal places as needed.) Enter your answer in each of the answer boxes.
Consider a hypergeometric probability distribution with n=7, R=9, and N=18. a) Calculate P(x=5). b) Calculate P(x=4). c) Calculate P(x less than or equals1). d) Calculate the mean and standard deviation of this distribution. a) P(x=5)= nothing (Round to four decimal places as needed.)
The probability mass function of a random variable X is given by Px(n)r n- (a) Find c (Hint: use the relationship that Ση_0 n-e) (b) Now assume λ = 2, find P(X = 0) (c) Find P(X>3)
a b and c please and thankyou Problem 2 Let X is a random variable with Poisson distribution X ~ Poisson(λ), (a) Find E(X1X2 i). λ > 0. 、 (b) Find E(xIx2). (c)Prove that λ>2-2a-ka for λ>0.
Let X1, X2,..., X, be n independent random variables sharing the same probability distribution with mean y and variance o? (> 1). Then, as n tends to infinity the distribution of the following random variable X1 + X2 + ... + x, nu vno converges to Select one: A. an exponential distribution B. a normal distribution with parameters hi and o? C a normal distribution with parameters 0 and 1 D. a Poisson distribution
If n 5 and x 0.45, what is the probability of the following? (a) (b) (c) (d) X= 4 Xs3 X<2 X>1 (a) P(X- 4)= (Round to four decimal places as needed.)
When X1, X2, ..., X, is a random sample from Uniform(0,26) (only >0), show that (X(1), Xn)) is sufficient statistic for 0.
Answer number 3, please. 2. The probability mass function below is defined forx - 0, 1,2,3,... 32 f(x)- What is the probability for each of the following expressions? a) P(X 2) b) P(X S2) c) P(X>2) d) P(X2 1) Determine values of the cumulative distribution function for the random variable in the previous problem 3.
For n = 80 and 1 = 0.6, use the normal distribution to approximate the following probabilities. a. X= 50 b. X> 50 c. X 550 d. X<50 a. The approximate probability that X = 50 is 17. (Round to four decimal places as needed.)