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2 years ago

If

Mathematics

1 answer:

vitfil [10]2 years ago

8 0

Answer:

$x = \frac{1}{e}$

Step-by-step explanation:

$f(x) = {(lnx)}^{2}$

$f1st(x) = \frac{2 lnx }{x} = 0$

$x < 1 \: \: f1 < 0 \: \: de creasing$

$f2nd(x) = \frac{2 - 2 lnx}{ {x}^{2} } = 0$

$x < e \: \: f2 > 0 \: \: concave \: up$

So x<1 is the condition which contains x=1/e

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3 years ago

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4 years ago

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2 years ago

Twenty five individuals are randomly selected out of 100 shoppers leaving a local bedding store. Each shopper was asked if they

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Also we know that we selected 25 individuals, so there are 25 shoppers that can say yes, that means our sample size N is 25.

and you want to know the probability that exactly 4 of the 25 shoppers made a purchase

this is a binomial distribution because we can see that we have a sample size n = 25, we have a proportion of success, 1/2to say yes to having made a purchase and we can say that each shopper is independently from the other shoppers.

So the binomial equation is given by: (check the attached image)

so we know that we want P(X=4) because we want to know exactly 4 out of 25.

so n is 25, p is 1/2 and x is 4 so substituting the values into the equation we will get:

P(X=4) = 25C4 * (1/2)^4 * (1 - 1/2)^(25-4)

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4 years ago