Question

Given that a variable x follows a Poisson distribution with an average (μ) of 0.7, what is the probability that x is equal to 1? Please round the probability to four decimal places.

Answer 1

The probability that x is equal to 1 in a Poisson distribution with an average of 0.7 is approximately 0.4931.

Step-by-step explanation:

The probability of x being equal to 1 in a Poisson distribution with an average (μ) of 0.7 can be calculated using the Poisson probability mass function:

P(x = 1) = e^(-μ) * μ^x / x!

Substituting the given values, we have:

P(x = 1) = e^(-0.7) * 0.7^1 / 1!

Calculating this expression gives approximately 0.4931 when rounded to four decimal places.