The random variable X counting the number of successes in n independent trials is a Binomial...
If X is a binomial random variable counting the number of successes in n = 5 Bernoulli trials, each with probability of success p = .2, find Pr[X = 2], correct to 4 decimal places. A. .4000 B. .2048 C. .2000 D. .1024 E. .0512
Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes on n=15 Bernoulli trials with p=.1, find the probability that x is between 2 and 3, inclusive. O A.0.3954 O B. 0.1286 O c.1.7604 O d. 0.4383 O E.0.1714
Let X be the number of successes in six independent trials of a binomial experiment in which the probability of success is p = 4 5 . Find the following probabilities. (Round your answers to four decimal places.) (a) P(X = 5) (b) P(3 ≤ X ≤ 5)
Let X be the number of successes in five independent trials of a binomial experiment in which the probability of success is p = 2 5 . Find the following probabilities. (Round your answers to four decimal places.) (a) P(X = 4) (b) P(2 ≤ X ≤ 4)
Suppose X is a Binomial random variable for which there are 4 independent trials and probability of success 0.4. What is P(X > 0)? a. 0.528 b. 0.1640 c. 0.8704 d. 0.4 e. 0.7638
What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success p? Choose the correct forumla below O B. E(X)s(1-p)n(1-p)n
For each n, let Xn be a binomial random variable with n trials and probability of success p Yn Use the Weak Law of Large Numbers to show that is a consistent estimator of p. (b) Explain why it follows from (a) that (1 isaconsistent estimator of p(1 -p) and that 1) is a consistent estimator of p(-P) 7l V n
Suppose X is a Binomial random variable for which there are 3 independent trials and probability of success 0.5. What is the mean? Suppose Y is a Binomial random variable for which there are 5 independent trials and probability of success 0.5. What is the mean?
For a Binomial random variable, the probability of exactly zero successes out of two trials equals 0.0289. What is the associated probability of "success," p?
QUESTION 1 Consider a random variable with a binomial distribution, with 35 trials and probability of success equals to 0.5. The expected value of this random variable is equal to: (Use one two decimals in your answer) QUESTION 2 Consider a random variable with a binomial distribution, with 10 trials and probability of success equals to 0.54. The probability of 4 successes in 10 trials is equal to (Use three decimals in your answer) QUESTION 3 Consider a random variable...