Show development for the solution From a batch of 40 computers, it is considered functional if it does not have more than 3 defective ones. Five computers are randomly sampled, and the lot is rejected if a defective computer is found. What is the probability that a faulty computer will be found if three are known to be faulty?

At the close of the stock markets on a day in 2017, there were 6100 companies listed with certain stock exchanges. On this day, the probabilities of advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability that a stock was listed on Exchange 2 given that it advanced. Percentage of Probability of Probability of Companies Listed Probability the Stock Stock Stocks Remain Unchanged Exchange Exchange 1 Exchange 2 Advancing Declining 0.5052 0.7237 0.2466 0.0297 0.4948 0.6009 0.3455 0.0536 Let F be Exchange 2 and E be an advance. P(F) = .4948 and P (F') = .5052 The probability that a stock was listed on Exchange 2 given that it advanced is (Do not round until the final answer. Then round to four decimal places as needed.)

there were 50 individuals selected. It was found out that 20% of the samples were fully vaccinated. Let C be the number of fully vaccinated individuals while C' be the individuals who are not fully vaccinated. Let the number of fully vaccinated individuals be random variable X. a random sample of 2 individuals were chosen for data collection. How many possible outcomes for the data collection to take place? and draw a tree diagram  and place on a probability table for fully vaccinanted

A student takes a 10 question true or false test he has not attended class nor study the material and so he guesses on every question find the probability distribution of the random variable representing the number of questions he got correct what is the probability he gets exactly 5 questions correct.

Suppose that 55% of all voters prefer Candidate A.If 4 people are chosen at random for a poll, what is the probability that at least 2 of them favor Candidate A?Probability =    (Please show your answer to 4 decimal places)