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Review 3
MAT 1190
Problem 1. On the Price Is Right game show, a contestant spins a wheel with numbers 1
through 7, with equally sized regions for each of these numbers. If the contestant spins
once, find the probability that the number is
(a) A 6.
(b) An even number.
(c) A number greater than 4.
(d) A number less than 8.
(e) A number greater than 7.
Problem 2.
A spinner has 4 equally likely regions numbered 1 to 4. The arrow is spun twice. What
is the probability that the spinner will land on a 1 on the first spin and on a red region on
the second spin? Draw a tree diagram to represent your answer.
Problem 3.
Find the interest on $50,000 compounded weekly at 7% for 20 years. Assume a 52-week
year.
Problem 4.
The following data represent the record high temperatures for each of the 50 states.
(a) Construct a grouped frequency distribution for the data using 7 classes.
(b) Draw a histogram for the frequency distribution
(c) Draw a frequency polygon
112
110
107
116
120
100
118
112
108
113
127
117
114
110
120
120
116
115
121
117
134
118
118
113
105
118
122
117
120
110
105
114
118
119
118
110
114
122
111
112
109
105
106
104
114
112
109
110
111
114
Problem 5.
In January of 2006, your family moved to a tropical climate. For the year that followed,
you recorded the number of rainy days that occurred each month. Your data contained
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8.
MAT 1190
Problem 1. (a)
Review 2: Answers
3
3
3
(b) (c)
(d) 1 (e) 0
7
7
7
Problem 2. 1/8
Problem 3.
$152,569.20
Problem 4.
Class Limits
Frequency
100 - 104
105 - 109
110 - 114
115 - 119
120 - 124
125 - 129
130 - 134
2
8
18
13
7
1
1
Problem 5.
mean
11.75
mode
11, 14
median
11.5
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