ABSTRACT
All of the probabilities above are between 0 and 1. The sum of these probabilities is + + + + + =0.1160 0.3121 0.3361 0.1811 0.0488 0.0053 1 . Thus both properties are met.
d. ≥ = + = + =P Y p p( 4) (4) (5) 0.0488 0.0053 0.0541
4.3 a. To find the probabilities, divide each of the frequencies by the total number of observations, which is 100. The probability distribution of Y is:
b. ≥ = + = + =P Y p p( 3) (3) (4) 0.02 0.04 0.06
4.5 a. = =−p(1) (0.23)(0.77) 0.231 1 The probability that the first cartridge sampled is contaminated is 0.23.
