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Weights of four-year-olds are Normally distributed, with a mean of 40 pounds and a standard deviation of 1.3 pounds. At his four-year checkup, Marlon’s weight is measured to be greater than 30% of boys his age. How much does Marlon weigh?

Respuesta :

ogorwyne

With a mean weight of 40 pounds and standard deviation of 1.3 pounds, Marlons weight is given as 41.7 pounds.

How to solve for Marlon's weight

Mean weight = u = 40

standard deviation = 1.3 pounds

We have to solve for z

z = x-u/sd

Using the normal distribution table

z = 1.282

We have to put in the formula in the equation

[tex]1.282 = \frac{x-40}{1.3}[/tex]

1.282*1.3 = x-40

1.666 = x- 40

collect like terms

x = 40+1.666

= 41.7

Therefore Marlon weighs 41.7 pounds

Read more on normal distribution here: https://brainly.com/question/4079902

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