# If you have \lambda = 4.2, what is the probability that P(x < 2)?

necessaryh 2020-11-17 Answered

If you have $\lambda =4.2$, what is the probability that $P\left(x<2\right)$?

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## Expert Answer

krolaniaN
Answered 2020-11-18 Author has 86 answers

Step 1
The given value for $\lambda$ is 4.2.
Step 2
The probability that the random variable x is less than 2 is,
$P\left(x<2\right)=\frac{{e}^{-4.2}{\left(4.2\right)}^{0}}{0!}+\frac{{e}^{-4.2}{\left(4.2\right)}^{1}}{1!}$
$=0.015+0.063=0.078$
Thus, the probability that the random value x is less than 2 is 0.078.

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