In: Statistics and Probability
ultiplication problems
The following table contains data regarding compliance with following directions on prescriptions with the level of
education a person has. Use this data to answer the following questions.
PHDs | Masters | Bachelors | H.S. Diploma | |
Follow prescription | 39 | 35 | 8 | 4 |
Dont Follow Prescription | 6 | 5 | 2 | 1 |
13. If 2 of the 100 subjects are randomly selected, find the probability that they are both PhD’s who followed the
prescription.
14. If you randomly select two people, what is the probability that you will select a person who has only their high
school diploma and a person who doesn’t follow the prescription?
15. If you randomly select two people, what is the probability that you will select a person who has their master’s
degree and a person who follows the prescription?
16. If you randomly select two people, what is the probability that you will select a person with a PhD who doesn’t
follow their prescription and a person with a Master’s degree who doesn’t follow their prescription?
PHDs | Masters | Bachelors | H.S. Diploma | Total | |
Follow prescription | 39 | 35 | 8 | 4 | 86 |
Dont Follow Prescription | 6 | 5 | 2 | 1 | 14 |
Total | 45 | 40 | 10 | 5 | 100 |
13)
the probability that they are both PhD’s who followed the prescription = 39/100 = 0.39
If 2 of the 100 subjects are randomly selected,the probability that they are both PhD’s who followed the prescription = 0.39^2 = 0.1521
14)
the probability that you will select a person who has only their high school diploma and a person who doesn’t follow the prescription = 1/100 = 0.01
If you randomly select two people, the probability that you will select a person who has only their high school diploma and a person who doesn’t follow the prescription = 0.01^2 = 0.0001
15)
the probability that you will select a person who has their master’s degree and a person who follows the prescription = 35/100 = 0.35
If you randomly select two people, he probability that you will select a person who has their master’s degree and a person who follows the prescription = 0.35^2 = 0.1225
16)
the probability that you will select a person with a PhD who doesn’t follow their prescription and a person with a Master’s degree who doesn’t follow their prescription = 6/100 * 5/100 = 0.003
If you randomly select two people, the probability that you will select a person with a PhD who doesn’t follow their prescription and a person with a Master’s degree who doesn’t follow their prescription = 0.003^2 = 0.000009