Elizabeth is a busy pediatrician. on any given day, she diagnoses an average of four babies with middle-ear infections. assume that the number of babies who come to her clinic with middle-ear infections is a poisson random variable. calculate the probability that fewer than three babies with middle-ear infections will come to her clinic tomorrow. give your answer in decimal form precise to three decimal places. p(x< 3)=

There is a 23.81% probability that fewer than three babies with middle-ear infections will come to her clinic tomorrow.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given interval.

In this problem

Elizabeth is a busy pediatrician. On any given day, she diagnoses an average of four babies with middle-ear infections. This means that .

Calculate the probability that fewer than three babies with middle-ear infections will come to her clinic tomorrow.

So

So

There is a 23.81% probability that fewer than three babies with middle-ear infections will come to her clinic tomorrow.

i hope this is what you were looking for.

see attached graph

the answer is b