Use the Poisson Distribution to find the indicated probability. Round to three decimal places when necessary.
-The number of calls received by a mountain search and rescue team in a day has a Poisson distribution with parameter $\lambda$ = 0.70. Find the probability that on a randomly selected day, they
Will receive fewer than two calls.
A)0.156
B)0.348
C)0.122
D)0.844

Question

Use the Poisson Distribution to find the indicated probability. Round to three decimal places when necessary.
-The number of calls received by a mountain search and rescue team in a day has a Poisson distribution with parameter $\lambda$ = 0.70. Find the probability that on a randomly selected day, they
Will receive fewer than two calls. 
A)0.156
B)0.348
C)0.122
D)0.844

Quizplus · Accepted Answer

The probability of receiving fewer than two calls (0 or 1 call) with $\lambda = 0.70$ is calculated using the Poisson distribution formula: $P(X < 2) = P(0) + P(1)$. For $P(0)$, the formula is $e^{-\lambda} \lambda^0 / 0! = e^{-0.70}$. For $P(1)$, it's $e^{-\lambda} \lambda^1 / 1! = 0.70e^{-0.70}$. Adding these gives $e^{-0.70} + 0.70e^{-0.70}$, which equals approximately 0.844.

Use the Poisson Distribution to Find the Indicated Probability λ\lambdaλ = 070 Find the Probability That on a Randomly Selected Day

Use the Poisson Distribution to Find the Indicated Probability $\lambda$ = 070 Find the Probability That on a Randomly Selected Day