The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years and the standard deviation is 2.4 years.

What is the probability a lion living less than 10.1 years?

And we can find this probability with the normal standard distirbution or excel:

And then the probability that a lion lives less than 10.1 years is 0.1587

Step-by-step explanation:

Let X the random variable that represent the lifespans of lions population, and for this case we know the distribution for X is given by:

Where and

We want to find this probability:

And we can use the z score formula givrn by:

If we apply this formula to our probability we got this:

And we can find this probability with the normal standard distirbution or excel:

And then the probability that a lion lives less than 10.1 years is 0.1587