1)

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 50 thousand miles and a standard deviation of 10 thousand miles.

What proportion of trucks can be expected to travel between 38 and 50thousand miles in a year?

(Round to four decimal places as needed.)

b.	What percentage of trucks can be expected to travel either less than 35 or more than 70 thousand miles in a year?

(Round to two decimal places as needed.)

c.	How many miles will be traveled by at least 85% of the trucks?

(Round to the nearest mile as needed.)

2)

A student is taking a multiple-choice exam in which each question has four choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place four balls (marked A,B,C,andD) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six

-multiple-choice questions on the exam.

-What is the probability that she will get six questions correct? (Round to four decimal places as needed.)

-What is the probability that she will get at least five questions correct? (Round to four decimal places as needed.)

-What is the probability that she will get no questions correct? (Round to four decimal places as needed.)

-What is the probability that she will get no more than two questions correct? (Round to four decimal places as needed.)

3)

Over a period of three months during one year, an airline's rate of involuntarily denying boarding was 0.93 per 10,000 passengers.

-What is the probability that in the next 10,000 passengers, there will be no one involuntarily denied boarding? (Round to four decimal places as needed.)

-What is the probability that in the next 10,000 passengers, there will be at least one person involuntarily denied boarding? (Round to four decimal places as needed.)

-What is the probability that in the next 10,000 passengers, there will be at least two persons involuntarily denied boarding? (Round to four decimal places as needed.)

Please answer all questions and there parts.