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Ivahew [28]
3 years ago
8

What is the slope for (-2,-6) and (1,-7)

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

-1/3

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (-7- -6)/((1- -2)

    = (-7+6)/(1+2)

    = -1/3

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Answer:

a) P(X=1)=(5C1)(0.25)^1 (1-0.25)^{5-1}=0.39551

b)  P(X \leq 1) = P(X=0) +P(X=1)=0.23730+0.39551 =0.63281

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And for this case we can use the result from part b

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P(X \neq 1) = 1-P(X=1)= 1-0.39551=0.60449

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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

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Part a

For this case our random variable X who represent the "number among the five who use the express checkout." follows X \sim Bin (n=5, p=0.25)

And we can find P(X=1) replacing on the mass function like this:

P(X=1)=(5C1)(0.25)^1 (1-0.25)^{5-1}=0.39551

Part b

For this case assuming that we want to find this probability P(X \leq 1) we can do this:

P(X \leq 1) = P(X=0) +P(X=1)

P(X=0)=(5C0)(0.25)^0 (1-0.25)^{5-0}=0.23730

P(X=1)=(5C1)(0.25)^1 (1-0.25)^{5-1}=0.39551

P(X \leq 1) = P(X=0) +P(X=1)=0.23730+0.39551 =0.63281

Part c

We can find P(2 \leq X) replacing on the mass function like this, using the complement rule:

P(X \geq 2) = 1-P(X

And for this case we can use the result from part b

P(X \geq 2) = 1-P(X

Part d

Assuming that we want to find this probability:

P(X \neq 1) since the random variable just takes values between 0 and 5 we can use the complement rule like this:

P(X \neq 1) = 1-P(X=1)= 1-0.39551=0.60449

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