The number of calls coming per minute into a hotel reservation center is poisson random variable with mean 3.

a) find the probability that no calls come in a given 1-minute period.
b) find the probability that at least two calls will arrive in a given two minutes’ period.
c) find the probability that at most two calls will arrive in a given five minutes’ period.

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a)

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

Hence,

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

As a result,

Practically 0

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.