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3 (17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.4. (a) Write Px(x),...
Let X be a binomial random variable with n = 6, p = 0.4. Find the following values. (Round your answers to three decimal places.) (a) PCX = 4) (b) PIX S1 (c) PCX > 1) (d) 4 = 0 = o v npg Need Help? Read It 5. (-/6 Points) DETAILS MENDSTATC4 5.1.011 Let X be a binomial random variable with n = 10 and p = 0.3. Find the following values. (Round your answers to three decimal places.)...
Let X be a random variable, which has a binomial distribution with parameters n and p. It is known that E(X) = 12 and Var(X) = 4. Find n and p.
12. The random variable Y obeys the binomial distribution with number of trials n and success probability p. (a) Derive the MGF for Y. (b) Use the MGF to find the mean and standard deviation of Y.
a) Consider the following data on a variable that has Bernoulli distribution: X P (X) 0 0.3 1 0.7 Find the Expected value and the variance of X. And E(X)-X Px) b) Consider the following information for a binomial distribution: N number of trials or experiments 5 x- number of success 3 Probability of success p 0.4 and probability of failure 1-p 0.6 Find the probability of 3 successes out of 5 trials: Note P(x) Nox p* (1-p)Note: NcN!x! (N-x)!...
5. Imagine a random variable X that has a binomial distribution with n = 12 and p = 0.4. Determine the following probabilities a) P(X 5) b) P(X s2) c) P(X9) d) P (3 X<5)
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)
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X>2)P(X>2), n=5n=5, p=0.4 success. Find the following probability, given the number of trials and the probability of obtaininga success. Round your answer to four decimal places. PX > 2), n 5, p = 0.4 Tables Keypad Answer How to enter...
The random variable X takes the values -2, -1 and 3 according to the following probability distribution: -2 3k -1 2k 3 3k px(x) i. Explain why k = 0.125 and write down the probability distribution of X. ii. Find E(X), the expected value of X. iii. Find Var(X), the variance of X.
3. You are given a binomial random variable X, with parameters n = 8 and p = 0.1. Deter- mine the CDF and PMF of X and plot these.
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...