Question

In: Statistics and Probability

ultiplication problems The following table contains data regarding compliance with following directions on prescriptions with the...

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?

Solutions

Expert Solution

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


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