A biotechnology company produced 225 doses of somatropin, including 11 which were defective. Quality control test 15 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?

Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence of polyester is 99% effective in detecting the presence of this disease. The test also yields a false positive in 4% of the cases where the disease is not present. What is the probability that the disease is absent if the test result is negative?

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62%. What is the probability that in a random sample of 560 headache sufferers, less than 59% obtain relief?

Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida drivers are involved in an accident, what is the probability that more than one of them are uninsured?

In a genetics experiment on​ peas, one sample of offspring contained 396 green peas and 296 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 34 that was​ expected?

In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?