On the basis of past experience , the probability that a certain electrical component will be satisfactory is 0.98. The components are sampled item by item from continuous production . In a sample of five components, what are the probabilities of finding (a) zero, (b) exactly one, (c) exactly two, (d) two or more defectives

In a survey of U.S. adults with a sample size of 2082, 370 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…

Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume that

The accompanying data are from an article. Each of 309 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not. Male Female Hybrid 76 33 Not Hybrid 116 84 Suppose one of these 309 individuals is to be selected at random. Determine if the probabilities P(hybrid male) and P(male hybrid) are equal. If not, explain the difference between these two probabilities. O Yes, the probabilities are equal. No, the probabilities are not equal. The first is the probability that a hybrid Honda Civic owner is male, and the second is the probability that a male Honda Civic owner purchased a hybrid. O No, the probabilities are not equal. The first is the probability that a male Honda Civic owner purchased a hybrid, and the second is the probability that a hybrid Honda Civic owner is male.