An average of 28 telephone calls are made per minute Accordi

An average of 2.8 telephone calls are made per minute. According to a Poisson distribution, what is the probability that

a. exactly 2 calls will be made

b. at least 2 calls will be made

c. at most 2 calls will be made

Solution

An average of 2.8 telephone calls are made per minute. According to a Poisson distribution, what is the probability that

a. exactly 2 calls will be made

b. at least 2 calls will be made

c. at most 2 calls will be made

An average of 2.8 telephone calls are made per minute. According to a Poisson distribution, what is the probability that.

P( x=2) = 0.2384

p( x >=2) = 0.7689

c. at most 2 calls will be made

p( x <=2) =0.4695

Data

Mean/Expected number of events of interest:

2.8

POISSON.DIST Probabilities Table

X

P(X)

P(<=X)

P(<X)

P(>X)

P(>=X)

0

0.0608

0.0608

0.0000

0.9392

1.0000

1

0.1703

0.2311

0.0608

0.7689

0.9392

2

0.2384

0.4695

0.2311

0.5305

0.7689