You find that you receive on average about 3 pieces of junk mail per week. Find the probability that the number of pieces of junk mail you receive next week will be (a) none at all. (b) exactly four. (c) no more than two. (d) more than two g

Answers

Answer 1

Answer:

a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Step-by-step explanation:

We have only the mean, which means that we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

You find that you receive on average about 3 pieces of junk mail per week.

This means that [tex]\mu = 3[/tex]

(a) none at all.

This is P(X = 0).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

(b) exactly four.

This is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]

0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

(c) no more than two.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]

0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

(d) more than two

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]

0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.


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Answer: You have the correct answer. It's choice A.

Explanation:

You can verify this by plugging each root into the equation.

So for instance, plug in x = -2 and we get

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----------------

Extra info:

Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.
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Answers

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Step-by-step explanation:

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Answers

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The two expressions are not equivalent to each other.

What are equivalent expressions?

Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.

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The first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3

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Answers

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the  ground.

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Help please I give brainliest

Answers

Answer:

2,20

Step-by-step explanation:

Answer:

(8,5)

Step-by-step explanation:

To determine the domain, identify the set of all the x-coordinates on the function's graph. To determine the range, identify the set of all y-coordinates. In addition, ask yourself what are the greatest/least x- and y-values. These values will be your boundary numbers.

Easy brainliest for correct answer 100%

Answers

Answer:

B) A/l

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

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~

the answer is (B) = 4/I .
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