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4 years ago

Prove that, A\B⊆A∩B'

Mathematics

1 answer:

posledela4 years ago

4 0

Answer:

Step-by-step explanation:

got em 7 7 5 4 9

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Suppose that 25 students in an AP Statistics class independently do this exercise for homework and that all of their calculators

JulsSmile [24]

Using the binomial distribution, it is found that there is a 0.999977 = 99.9977% probability that at least one of them makes a Type I error.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 25 students, hence n = 25.

70% do not commit any error, hence 30% do and p = 0.3.

The probability that at least one commits an error is given by:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{30,0}.(0.3)^{0}.(0.7)^{30} = 0.000023$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.000023 = 0.999977$

There is a 0.999977 = 99.9977% probability that at least one of them makes a Type I error.

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0

3 years ago

Which is the solution for the equation y=5x+3

garri49 [273]

$x = \frac{y - 3}{5}$

6 0

3 years ago

Combine the like terms to create a equivalent expression 9t - 3t +4

avanturin [10]

Answer:

6t+4

Step-by-step explanation:

9t-3t+4=6t+4

Combine the like terms 9t and -3t

Hope this helps!

4 0

4 years ago

Read 2 more answers

How do you graph y=0.25x+40

netineya [11]

Answer:

Step-by-step explanation:first you do -25 then go up by 40

5 0

4 years ago

Read 2 more answers

Actividad 1.1<br />Investigue sobre el tema de diferenciabilidad en un punto para encontrar los valores de "a" y "b" tales

Olegator [25]

Answer:

a = 8

b = -8

Step-by-step explanation:

You have the following function:

$f(x)\\\\=at+b;\ \ t$

A function is differentiable at a point c, if the derivative of the function in such a point exists. That is, f'(c) exists.

In this case, you need that the function is differentiable for t=2, then, you have:

$f'(t)=a;\ \ \ \ t$

If the derivative exists for t=2, it is necessary that the previous derivatives are equal:

$f'(2)=a=4(2)\\\\a=8$

Furthermore it is necessary that for t=2, both parts of the function are equal:

$8(2)+b=2(2)^2-1\\\\16+b=8-1\\\\b=-8$

Then, a = 8, b = -8

8 0

3 years ago