Solve these questions using the Excel formula

1. User passwords for the mainframe at a finance firm consists of five letters followed by two numbers. How many different passwords are possible?

	a.	7,893,690
	b.	1,188,137,600
	c.	657,800
	d.	None of these
	e.	33,153,120,0

2.Suppose we run an experiment where you toss a fair coin 6 times. What is the probability that you will toss exactly 2 heads?

a.

0.0938

b.

0.0156

c.

0.2344

d.

0.3750

e.

None of these

3. The cruising altitudes for a Boeing 747 are normally distributed with a mean of 35,105 feet with a standard deviation of around 1,800 feet. What cruising altitude represents the 65th percentile?

	a.	35,799
	b.	35,627
	c.	33,485
	d.	36,024
	e.	None of these

4. Suppose that mean calorie intake for this class is about 2,300 calories per day with a standard deviation of about 210 calories. Assume calorie intake follows a normal distribution. What is the probability that a peer in your class consumes more than 1,900 calories per day.

	a.	0.014
	b.	None of these
	c.	0.986
	d.	0.028
	e.	0.972

5.Suppose that the mean calorie intake for the freshman class is about 2,300 calories per day with a standard deviation of about 210 calories. Assume calorie intake follows a normal distribution. The phrase "the freshman fifteen" refers to the freshmen gaining 15 pounds in their first semester of college. For this to happen, on average, a freshman would need to consume between 2,100 and 2,600 calories per day. What is the probability a randomly selected freshman would consume in this range of calories.

a.	None of these
	b.	0.668
	c.	0.753
	d.	0.014
	e.	0.891

6.A bank receives an average of 30 bad checks in the state of New York on any given day. What is the probability that during a five-day bank week, the bank will receive 160 bad checks?

	a.	0.023
	b.	None of these
	c.	0.031
	d.	0.805
	e.	0.612

7. Suppose you have a weekly quiz that is 6 questions, multiple-choice. Each question has 5 potential answers, only 1 is correct. What is the probability that you get 4 or more answers correct and pass the test if you only guess for each question?

	a.	0.200
	b.	0.017
	c.	0.004
	d.	0.015
	e.	None of these

8. At the CCNY holiday party, you are told there are soft drinks in the cooler. The cooler contains 18 regular soft drinks and 12 diet soft drinks. Suppose you quickly grab 3 soft drinks for you and your friends without looking. What is the probability you grab 2 diet soft drinks?

	a.	0.417
	b.	None of these
	c.	0.124
	d.	0.293
	e.	0.183

9.Suppose the weights of baseball players is normally distributed with a mean of 220 lbs and standard deviation of 15 lbs. Using the empirical rule, 95% of players should fall between what weights?

	a.	205 and 235
	b.	175 and 265
	c.	None of these
	d.	190 and 250
	e.	210 and 260

10. Suppose that the average rent in New York City is $2,900 with a standard deviation of $600. What percent of rent is is between $1,700 and $4,100? Select the best answer.

	a.	At least 75%
	b.	None of these
	c.	Exactly 75%
	d.	Exactly 95%
	e.	At least 95%