The probability that a call received by a certain switchboard will be a wrong number is 0.02. Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least
Two wrong numbers. Round your answer to four decimal places.
A) 0.1991
B) 0.8009
C) 0.7760
D) 0.2240
E) 0.5768

Question

Quizplus · Accepted Answer

The average number of wrong calls (λ) is 150 * 0.02 = 3. Using the Poisson distribution, the probability of at least two wrong numbers is 1 - P(0) - P(1). Calculating these probabilities and subtracting from 1 gives approximately 0.8009.

The Probability That a Call Received by a Certain Switchboard