A random variable, x, has a hypergeometric distribution with N=19, X=11, and n=5.
a. Calculate P(x=4).
The probability is _________
b. Calculate P(x=6).
The probability is ________
c. Calculate P(x ≥5).
The probability is _________
d. Find the largest x so that P(x>x')>0.25
The value of x' is ______
A random variable, x, has a hypergeometric distribution with N=19, X=11, and n=5. a. Calculate P(x=4)....
A random variable, \(x\), has a hypergeometric distribution with \(\mathrm{N}=13, X=9\), and \(n=4\).a. Calculate \(\mathrm{P}(\mathrm{x}=3)\).b. Calculate \(\mathrm{P}(\mathrm{x}=6)\).c. Calculate \(\mathrm{P}(x \geq 4)\).d. Find the largest \(x^{\prime}\) so that \(P\left(x>x^{\prime}\right)>0.25\).a. The probability is (Round to four decimal places as needed.)
7, Random variable X has a hypergeometric distribution with N= 25, n = 4, and K = 4. Determine the following: a) E(X) b) V(X) c) P(X- 1) d) P(X-4) e) P(X2
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.)
7. Random variable Xhas a hypergeometric distribution with N 25, n 4, and K-4. Determine the following a) E(X) b) V(X) c) P(X = 1) d) P(X 4) e) P(X 2)
Assume that X is a hypergeometric random variable with N 26,S-7,and n-4.Calculate the answers to 4 decimal places) b. P(X 2) c. P(X 2 2)
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
Assume that X is a hypergeometric random variable with N = 26, S = 7, and n = 4. Calculate the following probabilities. (Round your answers to 4 decimal places.) a. P(X=1) b. P(X=2) c. P(X≥ 2)
Question 3 Suppose that the random variable X has the Poisson distribution, with P (X0) 0.4. (a) Calculate the probability P (X <3) (b) Calculate the probability P (X-0| X <3) (c) Prove that Y X+1 does not have the Polsson distribution, by calculating P (Y0) Question 4 The random variable X is uniformly distributed on the interval (0, 2) and Y is exponentially distrib- uted with parameter λ (expected value 1 /2). Find the value of λ such that...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)