Maggie s brother is 10 years younger than four times - id1014609994, robbylynnbonner

Question

Mathematics: Maggie s brother is 10 years younger than four times her age. The sum of their ages is 55. How old is Maggie?

robbylynnbonner · Accepted Answer

P(35-2 < X 35+2) = P(33< X< 37)= P(X

And using the cumulative distribution function we got:

P(35-2 < X 35+2) = P(33< X< 37)= P(X

The probability that preparation is within 2 minutes of the mean time is 0.134

Step-by-step explanation:

For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

$X \sim Unif (a= 20, b =50)$

The cumulative distribution function is given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

The expected value is given by:

$E(X) = \frac{a+b}{2} = \frac{20+50}{2}=35$

And we want to find the following probability:

P(35-2 < X 35+2) = P(33< X< 37)

And we can find this probability on this way:

P(35-2 < X 35+2) = P(33< X< 37)= P(X

And using the cumulative distribution function we got:

P(35-2 < X 35+2) = P(33< X< 37)= P(X

The probability that preparation is within 2 minutes of the mean time is 0.134

Maggie's brother is 10 years younger than four times her age. The sum of their ages is 55. How old is Maggie?

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