Question

6. A poll was taken of 14,502 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 Level Male Female Total High School or Less 3618 3117 6735 Bachelor's Degree 2860 3762 6622 Master's Degree 574 476 1050 Ph.D. 41 54 95 Total 7093 7409 14,502 A person is selected at random. Compute the following probabilities. (a) What is the probability that the selected person does not have a Ph.D.? (b) What is the probability that the selected person does not have a Master's degree? (c) What is the probability that the selected person is female or has a Master's degree? (d) What is the probability that the selected person is male or has a Ph.D.?

Answer 1

Okay, here we have this:

We need to calculate the probability that the selected person is female or has a Master's degree, so according with this we obtain the following information:

The number of female is 7409, and the number of male with a master's degree is 574, so finally we obtain the following probability:

`\begin{gathered} p=(7409+574)/(14502) \\ p=(7983)/(14502) \\ p\approx0.5505 \\ p=55.05\text{ percent} \end{gathered}`

Finally we obtain that the percentage is %55.05.