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3 years ago

If the standard deviation for a Poisson distribution is known to be 3.60, the expected value of that Poisson distribution is

Mathematics

1 answer:

Charra [1.4K]3 years ago

5 0

Answer: 12.96

Step-by-step explanation:

given data:

Poisson distributio = 3.60

solution:

The Poisson distribution expected value is same as Variance.

which is expressed as = SD^2

therefore;

the expected value

= SD^2

= 3.60^2

= 12.96

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An automobile manufacturer claims that its car has a 35.935.9 miles/gallon (MPG) rating. An independent testing firm has been co

Serjik [45]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

For the given claim , we have

Null hypothesis : $H_0: \mu=35.9$

Alternative hypothesis : $H_a: \mu\neq35.9$

Since alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n=220 ;

Sample mean: $\overline{x}=35.6$ ;

Standard deviation: $s=2.2$

Test statistic for population mean:

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

$z=\dfrac{35.6-35.9}{\dfrac{2.2}{\sqrt{220}}}\approx-2.02$

By using the standard normal distribution table of z , we have

P-value ( two tailed test ) : $2P(Z>|z|)=2(1-P(Z$

$=2(1-P(z$

Since , the P-value is greater than the significance level of $\alpha=0.02$ , it means we do not have sufficient evidence to reject the null hypothesis.

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3 years ago

What is the area of this triangle in the coordinate plane?

SpyIntel [72]

Answer:2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)

Step-by-step explanation:

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3 years ago

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Law Incorporation [45]

This answer kind of makes no sense, explain more pls? is there any more info given??

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2 years ago

Simplify to create an equivalent expression. \qquad{-2(-5n+6)+5(2-7n)}−2(−5n+6)+5(2−7n)minus, 2, left parenthesis, minus, 5, n,

Usimov [2.4K]

Answer:

The equivalent expression is - 25n - 2 and it matches with option D.

Step-by-step explanation:

We have to simplify and create the equivalent expression for

{- 2(- 5n + 6) + 5(2 - 7n)}

Now, {- 2(- 5n + 6) + 5(2 - 7n)}

= 10n - 12 + 10 - 35n

= - 25n - 2

Therefore, the equivalent expression is - 25n - 2 and it matches with option D. (Answer)

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