Statistics

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.

According to AccuData Media Research, 36% of televisions within the Chicago city  limits are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At  5:00 pm on a given Sunday, 2500 such televisions are randomly selected  and checked to determine what is being watched. Would it be unusual to  find that 996 of the 2500 televisions are tuned to "Eyewitness News"?


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