Question five

a. Let X represent the time it takes, in seconds to download an image file from the internet.

Suppose X is normal with a mean of 18.0 seconds and a standard deviation of 5.0 seconds. Find

P(X < 18.6)

Find P(18 < X < 18.6)

At lest 18.6

1. What is the probability of one success in five observations if the probability of an event of interest is 0.1?
2. In a region of a country, five percent of all cell phone calls are dropped. What is the probability that out of six randomly selected calls, none were dropped?
3. Assume baggage is rarely lost by Northeast Airlines. Suppose a random sample of 1,000 flights shows a total of 300 bags were lost. Thus, the arithmetic mean number of lost bags per flight is 0.3 (300/1,000). If the number of lost bags per flight follows a Poison distribution with u = 0.3, find the probability of not losing any bags.