Suppose a biological cell contains 400 genes. when treated radioactively the probability that
a gene will change into mutant gene is 0.006 and is independent of the other genes. what is
the approximate probability that there are at most 4 mutant genes after the treatment?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

20 points + brainliest answer + my mom’s chocolate chip cookie ! subtract.

If f(x) = 3x-2 and g(x) =2x+1 find (f-g)(x)