A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiement.      N=10, P=0.7, x=6   P(6)=____

Random variable x is the total number of successes in 6 repeated Bernoulli trials. Each trial is independent of each other, and the the probablity of success on a single trial, p = 0.9, is the same from trial to trial. Compute the probability that x is at most 4.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 10, p=0.45, x = 4 P(4)= (Do not round until the final answer. Then round to four decimal places as needed.)

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 12, p=0.4, x = 5 P(5)= (Do not round until the final answer. Then round to four decimal places as needed.). C...

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An event E has a probability p = p(E) = 0.4 in some sample space. Suppose the experiment that yields this sample space is repeated eight times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.) E exactly five times

According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated.   a. State the values of n and p for this binomial experiment.   b. Find the probability that exactly 156 in the sample have been fully vaccinated. Round to 4 decimal places.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. N=11, p=0.35, x4 The probability of x 4successes is: (Round to four decimal places as needed.)