Question

1. The U.S. Department of Justice reported that 6% of U.S. murders are committed without a weapon. I f 3 murder cases are selected at random, find the probability that

1. A weapon was used in all three of them.

2. a weapon was used in at least one of them.

1. There are four blood types, A, B, AB, and O. Blood can also be Rh+ and Rh-. Finally, a blood donor can be classified as either male or female. How many different ways can a donor have his or her blood labeled?

Draw a tree diagram to represent this problem

1. In a study of the effects of acid rain on fish populations in Adirondack mountain lakes, samples of yellow perch, Perca flavescens, were collected. Forty percent of the fish had gill filament deformities and 70% were stunted. Twenty percent exhibited both abnormalities.

Find the probability that

1. a randomly sampled fish will be free of both symptoms.

2. A randomly sampled fish will have a gill filament deformity or be stunted.

Answer 1