A pharmaceutical company making antibiotics has to abide by certain standards set by the Food and Drug Administration. The company performs some testing on the strength of the antibiotic. In a case of 25 bottles, 4 bottles are selected for testing.

a)If the case actually contains 5 understrength bottles, what is the probability that the sample chosen will contain no understrength bottles?

b)Exactly 1 understrength bottle?

c)How many understrength bottles would be expected in the sample?

What is the standard deviation of understrength bottles in the sample?