A survey finds that customers are overcharged by price scanning systems, on average, on 1.65% of items. Suppose a customer purchases 15 items. Find the following probability. A customer is not overcharged for any item. The probability is. (Round to four decimal places as needed.) According to a survey, 21.6% of credit-card-holding families in a certain area hardly ever pay off the balance. Suppose a random sample of 23 credit-card-holding families is taken. Find the probability that at least 4 families hardly ever pay off the balance. The probability that at least 4 families hardly ever pay off the balance is]. (Round to four decimal places as needed.) A factory tests a random sample of 27 transistors for defects. The probability that a particular transistor will be defective has been established by past experience as 0.06. What is the probability that there are no defective transistors in the sample? The probability that there are no defective transistors in the sample is]. (Round to four decimal places as needed.) According to an airline, a particular flight is on time 89% of the time. Suppose 36 flights are randomly selected and the number of on time flights is recorded. Find the probabilities of the following events occurring. a. All 36 flights are on time b. Between 28 and 30 flights (inclusive) are on time a. The probability that all 36 flights are on time is]. (Round to four decimal places as needed.) For the experiment described below, let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. Three coins are tossed and the number of tails is noted. A probability distribution for the given experiment is as follows. x P (x ) For the experiment described below, let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. Three balls are drawn (without replacement) from a bag that contains 6 yellow balls and 4 green balls. The number of green balls is counted. A probability distribution for the given experiment is as follows. * 0 1 2 3 P (x) 10OO (Type simplified fractions.) Find the expected value of the random variable. 2 3 4 5 0 P(x) 0.2 0.4 What is the expected value? (Type an integer or a decimal.)