Question

140 starting Elementary Teachers were surveyed by “Educating Youth”, a professional website.
Of those
 55 were females
 62 were males who will earn at most $45,000
 13 were Females who will earn more than $45,000
Construct a table to organize your thoughts and find the following:
What is the probability that an individual polled was
i) A male and will earn more than $45,000 ?
ii) A female and will earn at most $45,000 ?
iii) A male or will earn more than $45,000 ?
iv) A female, given they earned more than $45,000 ?

Answer 1

	Male	Female	TOTAL
At most $45000	62	55-13 = 42	62+42 = 104
More than $45000	85-62 = 23	13	23+13 = 36
TOTAL	140-55 = 85	55	140

i)

P(male and will earn more than $45,000) =

ii)

P(female and will earn at most $45,000) =

iii)

P(male or will earn more than $45,000) = P(male) + P(will earn more than $45,000) - P(male and earn more than $45,000) =

iv)

P(female, given they earned more than $45,000) = P(female and earned more than $45,000) / P(earned more than $45,000)

=