1. Signal Flags How many different signals can be made by using at least 3 different flags if there are 5 different flags from which to select ?

2. Dinner Selections How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and 5 vegetables on the menu?

3. Rolling the Dice If three dice are rolled, find the probability of getting a sum of 6.

4. Plant Selection All holly plants are dioecious-a male plant must be planted within 30 to 40 feet of the female plants in order to yield berries. A home improvement store has 12 unmarked holly plants for sale, 8 of which are female. If a homeowner buys 3 plants at random, what is the probability that berries will be produced?

5. Mathematics Tutoring Center At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.117; 5 students, 0.123; 6 students, 0.295; and 7 students, 0.328.

(a) What is the probability of secing 8 students?

(b) What is the probability of seeing less than 7 students?

(c) What is the expected number of students? (d) What is the standard deviation in the number of students?

6.Grab Bags A convenience store has made up 20 grab bag gifts and is offering them for $2.00 a bag. Ten bags contain 6. merchandise worth S1.00. Six bags contain merchandise worth S2.00, and four bags contain merchandise worth S3.00. Suppose you purchase one bag. What is your expected gain or loss?

7.Job Elimination In a recent year, 13% of businesses have eliminated jobs. If 5 businesses are selected at random, find the probability that at least 3 have eliminated jobs during that year.

8.Federal Government Employee E-mail Use It has been reported that 83% of federal govermment employees use e-mail. If a sample of 200 federal government employees is selected, find the mean. variance, and standard deviation of the number who use e-mail. Would it be wnusaal to find that only 75% of 200 employees use email?

9. Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $37,764. Assume a normal distribution with o -S5100.

a. What is the probability that a randomly selected teacher's salary is greater than S45,000?

b. For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000?

10.High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. 10.

a. The top 3% of students receive S00. What is the minimum score you would need to receive this award?

b. The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?