1. Suppose 60% of kids who visit a doctor have a fever, and 20% of kids with a fever have sore throats. What's the probability that a kid who goes to the doctor has a fever and a sore throat?
Probability is? (Round to three decimal places.)
2. Find the z-score that has 79.1% of the distribution's area to its left.
(Round to two decimal places.)
3. The access code for a car's security system consists of four digits. The first digit cannot be 8 and the last digit must be even or zero. How many different codes are available?
4. In the general population, one woman in ten will develop breast cancer. Research has shown that 1 woman in 600 carries a mutation of the BRCA gene. Nine out of 10 women with this mutation develop breast cancer.
a) Find the probability that randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene. (Round to one decimal place.)
b) Find the probability that a randomly selected woman will carry the gene mutation and develop breast cancer. (Round to four decimal places.)