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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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step-by-step explanation: