Question

If a company receives an average of 3 calls per 5 minute period in a working day. what is the probability of receiving no calls during a randomly selected 5 minute?

Answer 1

Answer:

what is the probability of receiving no calls during a randomly selected 5 minute? Add answer

Answer 2

The probability of receiving 0 calls in a random 5 min is 1÷6

Step-by-step explanation:

Given:

Number of calls received every 5 min= 3

To find= the probability of receiving no calls during a randomly selected 5 minutes

Solution:

We can utilize Poisson Distribution here,

X = number of calls each moment

Here, E(X) = 3

leave Y alone be the number of calls each 5 minutes

E(Y) = 15

Y follows Poisson with a mean of 15

we should figure it out :

P(at most 3 calls) = P(y = 0) + P(y = 1) + P(y = 2) + P(y = 3)

P(at most 3 calls)= P+ 2P+ 3P

=6p

Thus, probability of receiving 0 calls= 1÷6

Result:

Thus, the probability of receiving 0 calls in a random 5 min is 1÷6

(#SPJ2)