Researchers examined characteristics that may influence whether young female patients complete a sequence of injections for a certain vaccine. The following joint probability distribution summarizes completion of treatment versus practice type. Consider a randomly selected patient in the study. Complete parts (a) through (e) below.

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Click the icon to view the joint probability distribution for treatment versus practice type.

a. Find

P(C1)

and interpret the result in terms of percentages.

Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Round to one decimal place as needed.)

A.

The probability that the patient begins treatment with a pediatrician is

enter your response here%.

B.

The probability that the patient

doesn'tcomplete

the full sequence of injections is

enter your response here%.

C.

The probability that the patient begins treatment with an OB/GYN is

enter your response here%.

D.

The probability that the patient begins treatment with a family doctor is

enter your response here%.

E.

The probability that the patient

completes

the full sequence of injections is

enter your response here%.

b. Find

P(T1)

and interpret the result in terms of percentages.

Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Round to one decimal place as needed.)

A.

The probability that the patient begins treatment with

apediatrician

is

enter your response here%.

B.

The probability that the patient

completes

the full sequence of injections is

enter your response here%.

C.

The probability that the patient begins treatment with

anOB/GYN

is

enter your response here%.

D.

The probability that the patient

doesn'tcomplete

the full sequence of injections is

enter your response here%.

E.

The probability that the patient begins treatment with

afamilydoctor

is

enter your response here%.

c. Find

P(C1

&

T1)

and interpret the result in terms of percentages.

The probability that the patient

doesn't completedoesn'tcomplete

completescompletes

the full sequence of injections

or

given that

and

the patient begins treatment with

a pediatricianapediatrician

an OB divided by GYNanOB/GYN

a family doctorafamilydoctor

is

enter your response here%.

(Type an integer or a decimal. Round to one decimal place as needed.)

d. Find

P(C1|T1)

and interpret the result in terms of percentages.

The probability that the patient

completescompletes

doesn't completedoesn'tcomplete

the full sequence of injections

and

or

given that

the patient begins treatment with

a pediatricianapediatrician

an OB divided by GYNanOB/GYN

a family doctorafamilydoctor

is

enter your response here%.

(Type an integer or a decimal. Round to one decimal place as needed.)

e. Find

P(T1|C1)

and interpret the result in terms of percentages.

The probability that the patient begins treatment with

a family doctorafamilydoctor

an OB divided by GYNanOB/GYN

a pediatricianapediatrician

and

or

given that

the patient

doesn't completedoesn'tcomplete

completescompletes

the full sequence of injections is

enter your response here%.

(Type an integer or a decimal. Round to one decimal place as needed.)