Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows:
conforms
yes no
1 22 8
supplier 2 25 5
3 30 10
Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample from any supplier conforms to specifications. If a disk is selected at random, determine the following probabilities.
a. P(A)=0.3
b. P(B)=0.77
c. P(A Intersection B) =0.22
d. P(A U B)=0.85