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3 years ago

Zach is 15 in a half years old. this is 3 years younger than his brother hunter. how old is hunter?

Mathematics

1 answer:

dlinn [17]3 years ago

4 0

Answer:

18 1/2 years old

Step-by-step explanation:

x-3= 15 1/2

x= 15 1/2 + 3

x= 18 1/2

Hunter is 18 1/2 years old.

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Step-by-step explanation:

Previous concepts

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Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

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Where (nCx) means combinatory and it's given by this formula:

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And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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