Question

1. Suppose one of these people is selected at random. Compute the probability that the person is a nonreader.

2. Compute the probability that the person is a nonreader.

3. Compute the probability that person is a Non-book reader and make over $40,000

4. What is the probability that a person is a book reader, given tgey make less than $15,000?

Find the indicated probability. The Book Industry Study Group, Inc., performs sample surveys to obtain information on characteristics of book readers. A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book, newspaper, or magazine in the six months prior to the survey. The following data were obtained from a random sample of people 16 years old and over

Answer 1

1.

Required probability is given by

$\tiny P\left ( C_3 \right )=\frac{90}{1440}=0.0625$

2.

Required probability is given by

$\tiny P\left ( C_3 \right )=\frac{90}{1440}=0.0625$

3.

Required probability is given by

$\tiny P\left ( C_2\cap I_4 \right )=\frac{95}{1440}=0.06597222$

4.

Required conditional probability is given by

$\tiny P\left ( C_1| I_1 \right )=\frac{P\left ( C_1\cap I_1 \right )}{P\left (I_1 \right )}=\frac{173/1440}{495/1440}=0.3494949$