Suppose the number of accidents occurring on a highway in each day follows a Poisson random variable with…

Suppose the number of accidents occurring on a highway in each day follows a Poisson random
variable with parameter 3. Then, what is the probability that no accidents occur today?
  1. 1e3
  2. -1e3
  3. 1e9
  4. -1e9

Solution

Given: λ=3

P(X=x)=λxe-λx!

Probability that no accidents occur today=PX=0

=30e-30!

=1e3.

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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