Question

14. A poll was taken of 13,875 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.Education LevelMaleFemaleTotalHigh School or Less299934306429Bachelor's Degree315131736324Master's Degree4975061003Ph.D.5465119Total6701717413,875A person is selected at random. Compute the following probabilities.(a) What is the probability that the selected person is a male? (b) What is the probability that the selected person does not have a Ph.D.? (c) What is the probability that the selected person has a Master's degree? (d) What is the probability that the selected person is female and has a Master's degree?

Answer 1

Part a

What is the probability that the selected person is a male?

P=6,701/13,875

P=0.4830

Part b

What is the probability that the selected person does not have a Ph.D.?

P=1-119/13,875

P=0.9914

Part c

What is the probability that the selected person has a Master's degree?

P=1,003/13,875

P=0.0723

Part d

What is the probability that the selected person is female and has a Master's degree?

P=506/13,875

P=0.0365