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Transcript
PROBABILITY (Chapter 10)
223
EXERCISE 10B
1 Jose surveyed the length of TV commercials in seconds.
Estimate, to 3 decimal places, the probability that a randomly
chosen TV commercial will last:
a 20 to 39 seconds
b more than a minute
c between 20 and 59 seconds inclusive.
Length
Frequency
0 - 19
20 - 39
40 - 59
60+
17
38
19
4
2 Paula keeps records of the number of phone calls
she receives over a period of consecutive days.
number of days
a For how many days did the survey last?
10
b How many calls did Paula receive over this
8
period?
6
c Estimate Paula’s chance of receiving:
4
i no phone calls on a particular day
2
ii 5 or more phone calls on a particular day
0 1 2 3 4 5 6 7 8
iii less than 3 phone calls on a particular day.
number of calls per day
3 Pat does a lot of travelling in her car. She keeps
records of how often she fills her car with petrol.
The table alongside shows the frequencies of the
number of days between refills. Estimate the
likelihood that:
a there is a four day gap between refills
b there is at least a four day gap between refills.
cyan
magenta
yellow
Y:\HAESE\IB_MYP4\IB_MYP4_10\223IB_MYP4_10.CDR Friday, 7 March 2008 4:21:34 PM PETERDELL
95
Frequency
1
2
3
4
5
6
37
81
48
17
6
1
Age distribution of prison inmates
100
50
75
25
0
5
95
100
50
75
25
0
5
95
100
50
75
25
0
5
95
100
50
75
25
0
5
4 The table alongside gives the age distribution
of prison inmates as of December 31, 2007.
A prisoner was released on January 1, 2008.
Find the probability that:
a the prisoner was male
b the prisoner was aged between 17 and 19
c the prisoner was 19 or under given that
the prisoner was female
d the prisoner was 19 or under given that
the prisoner was male
e the prisoner was female given that the
prisoner was aged 60+.
Days between refills
black
Age
Female
Male
Total
15
16
17 - 19
20 - 24
25 - 29
30 - 34
35 - 39
40 - 49
50 - 59
60+
Total
0
5
26
41
36
32
31
24
16
5
216
6
23
422
1124
1001
751
520
593
234
148
4822
6
28
448
1165
1037
783
551
617
250
153
5038
IB MYP_4