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Transcript
240
PROBABILITY (Chapter 10)
7 From the life tables on page 224, determine the probability that:
a a female will survive to the age of 60
b a 15 year old male will survive to the age of 70
c a 50 year old woman will die before reaching 65.
REVIEW SET 10B
1 Over a 35 day period, Lorna records the number of phone calls she receives. She
then draws the graph of her data shown opposite.
Number of calls
a Using this data, estimate the probability that on
number
of days
any day she will receive:
10
i no phone calls
ii at least 3 phone calls
iii between 1 and 5 calls inclusive.
0 1 2 3 4 5
b How reliable do you believe your answers are in
number of calls / day
a? Give reasons for your response.
2 From past experience, a surfer has probability 0:83 of catching a wave. In one week
she tries to catch 75 waves. How many do you expect her to have caught?
3 A shared garden area has 12 patches owned by
12 different people. All lines on the figure are
fences. If a patch is selected at random, what is
the probability that it has:
a two shared fences
b three shared fences?
4 Jar X contains 3 white and 2 red marbles. Jar Y contains 6 white and 4 red marbles.
A marble is selected at random from each jar. Determine the probability that:
a both marbles are white
c one marble of each colour is selected.
b both marbles are red
5 Zelda rolls a normal six-sided die. She will win twice the number of dollars as the
number shown on the face.
a How much does Zelda expect to win from one roll of the die?
b If it costs $8 to play the game, would you advise Zelda to play several games?
Explain your answer.
6 From the life tables on page 224, determine the probability that:
a a male will survive to the age of 40
b a 20 year old female will survive to the age of 80
c a 35 year old man will die before the age of 70.
7 At a local girls’ school, 65% of the students play netball, 60% play tennis, and 20%
play neither sport. Display this information on a Venn diagram, and hence determine
the likelihood that a randomly chosen student plays:
cyan
magenta
yellow
95
100
50
75
25
0
b netball but not tennis
d exactly one of these two sports.
5
95
100
50
75
25
0
5
95
100
50
75
25
0
5
95
100
50
75
25
0
5
a netball
c at least one of these two sports
black
Y:\HAESE\IB_MYP4\IB_MYP4_10\240IB_MYP4_10.CDR Thursday, 27 March 2008 1:55:50 PM PETERDELL
IB MYP_4