Question

random sample of 200 adults are classified below by gender and their level of education attained.   Education Male Female Elementary 38 45 Secondary 28 50 College 22 17   If a person is picked at random from this group, find the probability that a.                The person is a male, given that the person has a secondary education; b.               The person does not have a college degree, given that the person is a female.​

Answer 1

Answer:

a) $\frac{14}{39}$ b) $\frac{95}{112}$

Step-by-step explanation:

Total number of people = 200

P(male|secondary) = Man with secondary education / Person with secondary education

P(male|secondary) = $\frac{28}{28+50}$ = $\frac{14}{39}$

P(no degree|female) = Number of females with no degree/ Total number of females

P(no degree|female) = $\frac{45+50}{45+50+17} = \frac{95}{112}$

                     

Answer 2

Answer:

The required answer is 14/39 and 95/112

Step-by-step explanation:

As per the data given in the question we have to find the probability that             a.The person is a male, given that the person has a secondary education; b.The person does not have a college degree, given that the person is a female.​

As per the question it is given that random sample of 200 adults are classified below by gender and their level of education attained.   Education Male Female Elementary 38 45 Secondary 28 50 College 22 17

According to question total number of people = 200

a) so, Probability(male secondary) = Man with secondary education / Person with secondary education

P(male secondary) =$\frac{28}{28+50}$ = $\frac{28}{78}$ = $\frac{14}{39}$

b) P(no degree female) = Number of females with no degree/ Total number of females

P(no of degree female) = $\frac{45+50}{45+50+17}$ = $\frac{95}{112}$

Hence, the required answer is 14/39 and 95/112

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