Problem 1 - If you roll a die 40 times and 9 of the rolls result in a "5", what empirical probability was observed for the event?
Problem 2 - A single die is rolled. What is the probability that the number on top is the following?
a. A 3
b. An odd number
c. A number less than 5
d. A number greater than 3
Problem 3 - Mrs. Gordon wondered if her class was watching too much television on school nights. To find out, she did a quick poll of her seventh graders. Here are her results:
|
Hours
|
Number
|
|
0
|
2
|
|
1
|
3
|
|
2
|
2
|
|
3
|
0
|
|
4
|
3
|
|
5
|
2
|
|
6
|
1
|
a. What percentage of the class is not watching television on school nights?
b. What percentage of the class is watching, at most, 2 hours of television on school nights?
c. What percentage of the class is watching at least 4 hours of television on school nights?
Problem 4 - The table here shows the average number of births per day in the United States as reported by the CDC.
|
Day
|
Number
|
|
Sunday
|
7,563
|
|
Monday
|
11,733
|
|
Tuesday
|
13,001
|
|
Wednesday
|
12,598
|
|
Thursday
|
12,514
|
|
Friday
|
12,396
|
|
Saturday
|
8,605
|
|
Total
|
78,410
|
Based on this information, what is the probability that one baby identification at random was:
a. Born on a Monday?
b. Born on a weekend?
c. Born on a Tuesday or Wednesday?
d. Born on a Wednesday, Thursday, or Friday?
Problem 5 - Two dice are rolled. Find the probabilities in parts (b)-(e). Use the sample space and chart representation given.
a. Why is the set {2, 3, 4, . . . , 12} not a useful sample space?
b. P(white die is an odd number)
c. P(sum is 6)
d. P(both dice show odd numbers)
e. P(number on black die is larger than number on white die)