Question 1.7 [2, 2, 2, 2]
If A and B are independent events with P A( ) 0.52 = and P B( ) 0.21 = , find the following:
a) PA B ( ) ∪
b) PA B ( ) ∩
c) PA B ( ) ∪
d) Are A and B disjoint events? Motivate your answer!
Question 1.8 [3]
A certain washing machine factory has found that 15% of its washing machines manufactured in the
factory break down and are returned in the first year of operation. Suppose that 32 machines are
purchased by a laundromat from this washing machine factory, find the probability that at least one
washing machine breaks down in the first year of operation?
1.7.
a)
b)
c)
d)
If two events are disjoint, then the probability of them both occurring at the same time is 0.
Since then and are not disjoint events.
1.8.
Let the number of washing machine which breaks down in the first year of operation:
Given
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