Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n = 49; p = 3/5

Question
Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.

n = 49; p = 3/5

A naturalist leads whale watch trips every morning in March. The number
of whales seen has a Poisson distribution with a mean of 3.0. Find the
probability that on a randomly selected trip, the number of whales seen
is 5.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.

A
police department reports that the probabilities that 0, 1, 2, 3, and 4
car thefts will be reported in a given day are 0.150, 0.284, 0.270,
0.171, and 0.081, respectively.

Assume that a procedure yields a binomial distribution
with a trial repeated n times. Use the binomial probability formula to
find the probability of x successes given the probability p of success
on a single trial.

n = 30, x = 12, p = 0.20

Determine if the outcome is unusual. Consider as unusual
any result that differs from the mean by more than 2 standard
deviations. That is, unusual values are either less than – 2 or greater than + 2.

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