Question

births in a hospital occur randomly at an average rate of 1.8 per hour, what is the probability of having 4 birth per hour?​

Answer 1

Answer:

The Poisson distribution is discrete probability distribution in which the mean and the variance of the distribution are the same. In this question, we will use the probability mass function of Poisson distribution to get the probability of 2 or more births

Answer 2

Answer:0.0723

Explanation:

Births in a hospital occur randomly at an average rate of 1.8 births per hour. What is the probability of observing 4 births in a given hour at the hospital? Let X = No. of births in a given hour (i) Events occur randomly (ii) Mean rate λ = 1.8 ⇒ X ∼ Po(1.8) We can now use the formula to calculate the probability of observing exactly 4 births in a given hour P(X = 4) = e−1.8 1.8 4 4! = 0.0723