In studies for a​ medication, 15 percent of patients gained weight as a side effect. Suppose 615 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that A: exactly 93 will gain weight B: No more than 93 will gain weight C: At least 105 will gain weight.

In a new fiber-optic communication system, transmission errors occur at the rate of 2.5 per ten seconds. What is the probability that more than five errors will occur during the next minute?

At a local university, 40% of students live in dormitories. A random sample of 80 students is selected for a particular study. What is the probability that the proportion of the sample (the proportion living in dormitories) is at least 0.30?

A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.

The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated?                           Yes                               No Yes 58 81 No 240 607 If two different pedestrian deaths are randomly selected, find the probability that they both involved drivers that were intoxicated.

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50%50% of this population prefers the color red. If 1010 buyers are randomly selected, what is the probability that exactly a half of the buyers would prefer red? Round your answer to four decimal places.

Suppøse that a lot of 5000 electrical fuses contains 5% defectives. If a sample of ten fuses is tested, find the probability of observing No defective