With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. A company has just manufactured 1350 CDs, and 651 are defective. If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted? Does this outcome suggest that the entire batch consists of good CDs? Why or why not?
In a genetics experiment on peas, one sample of offspring contained 364 green peas and 272 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg.
a. Construct a similar sample space for the possible gender outcomes (using b for boy and g for girl )of two children.
b. Assuming that the outcomes listed in part (a) were equally likely, find the probability of getting two boy children.
c. Find the probability of getting exactly one boy child and one girl child.
a. What is the sample space?
(Use a comma to separate answers as needed.)
b. Find the probability of getting two boy children
(Type an exact answer.)
c. Find the probability of getting one boy child and one girl child.
(Type an exact answer.)
Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 144 subjects with positive test results, there are 29 false positive results; among 157 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability of a false positive or false negative. (Hint: Construct a table.) What does the result suggest about the test’s accuracy
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