Question

O f 2 0 0 0 0 small businesses surveyed, about 82%

said they employed women in some capacity.

Of the businesses that employed women, 19. 5%

employed no female supervisors, 50% employed

only one female supervisor, and the remainder

employed more than one female supervisor,

a How many of the businesses surveyed

employed no women?

b W hat proportion of businesses surveyed

employed exactly one female supervisor?

c W hat proportion of businesses surveyed

employed no female supervisors?

d Given that a particular firm employed women,

what is the probability that it employed at

least one female supervisor

Answer 1

Using proportions, it is found that the desired amounts are given as follows:

a) 360 businesses employeed no women.

b) 41% of the businesses surveyed employed exactly one female supervisor.

c) 15.58% of the businesses surveyed employed no female supervisors.

d) 80.5% probability that it employed at least one female supervisor.

What is a proportion?

A proportion is a fraction of a total amount.

Item a:

18% out of the 2000 businesses surveyed, hence:

n = 0.18 x 2000 = 360.

Item b:

50% out of 82%, hence:

p = 0.5(0.82) = 0.41.

41% of the businesses surveyed employed exactly one female supervisor.

Item c:

19% out of 82%, hence:

p = 0.19(0.82) = 0.1558.

15.58% of the businesses surveyed employed no female supervisors.

Item d:

100 - 19.5 = 80.5% probability that it employed at least one female supervisor.

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