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
Given that ,
p = 0.2
1 - p = 1 - 0.2 = 0.8
(a)n = 5
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 2) = (5 C 2) * (0.2)2 * (0.80)3
=0.2048
probability=0.2048
If X is a binomial random variable counting the number of successes in n = 5...
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
The random variable X counting the number of successes in n independent trials is a Binomial random variable with probability of success p. The estimator p-hat = X/n. What is the expected value E(p-hat)? Op O V(np(1-p)) Опр O p/n Submit Answer Tries 0/2
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
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...
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)
4. Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) 5. Let x be a binomial random variable with n = 8, p = 0.2. Find the following value. 6. Let x be a binomial random variable with n = 8, p = 0.3. Find the following value. (Round your answer to three decimal places.)
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), n=5, p=0.8
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), n=9, p=0.1
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<5)P, n=9, p=0.7
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≥7), n=8, p=0.5.