According to an airline, flights on a certain route are on time 80% of the time. Suppose 15 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment.

(b) Find and interpret the probability that exactly 9 flights are on time.

(c) Find and interpret the probability that fewer than 9 flights are on time.

(d) Find and interpret the probability that at least 9 flights are on time.

(e) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time.

Which fraction below is equivalent to 10/12?

The quadratic function h(t)=-16.1t^2+150 choose the graph representation

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?