1- If you roll a die49times and8of the rolls result in a "5," what empirical probability was observed for the event "5"? (Give your answer correct to three decimal places.)

2- A single die is rolled.

(a) What is the probability that the number on top is a 3. (Give your answer correct to two decimal places.)

(b) What is the probability that the number on top is an odd number. (Give your answer correct to two decimal places.)

(c) What is the probability that the number on top is a number less than 5. (Give your answer correct to two decimal places.)

(d) What is the probability that the number on top is a number no greater than 3. (Give your answer correct to two decimal places.)

3- A pair of dice is to be rolled. (Give your answers as fractions.)

(a) Find the probability of the sumP(2) of the two dice.

(b) Find the probability of the sumP(3) of the two dice.

(c) Find the probability of the sumP(4) of the two dice.

(d) Find the probability of the sumP(5) of the two dice.

(e) Find the probability of the sumP(6) of the two dice.

(f) Find the probability of the sumP(7) of the two dice.

(g) Find the probability of the sumP(8) of the two dice.

(h) Find the probability of the sumP(9) of the two dice.

4- A box contains marbles of five different colors: red, green, blue, yellow, and purple. There is an equal number of each color. Assign probabilities to each color in the sample space. (Give your answers as fractions.)

5- Find the area under the standard normal curve between1.47and the mean,P(1.47z

6- Find the area under the standard normal curve betweenz=-2.54andz=1.37,P(-2.54z

7- Consider the following. (Give your answers correct to four decimal places.)

8- Find the area under the standard normal curve betweenz=0.73andz=2.22,P(0.73z

9- Find the area under the standard normal curve betweenz=-2.77andz=-1.23,P(-2.77z

10- Find the standard score (z) shown on each of the following diagrams. (UseAppendix Bas necessary.)

b. C. 0.7673 0.7190 0.1515 0 2 2 0 0