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iren [92.7K]
2 years ago
12

Does 21+2(2x-7)=1+4(2+x) have...?

Mathematics
1 answer:
inn [45]2 years ago
7 0

Answer:

B.

Step-by-step explanation:


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Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec
o-na [289]

Answer:

(a) The probability of the event (<em>X</em> > 84) is 0.007.

(b) The probability of the event (<em>X</em> < 64) is 0.483.

Step-by-step explanation:

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...

(a)

Compute the probability of the event (<em>X</em> > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

                =1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007

Thus, the probability of the event (<em>X</em> > 84) is 0.007.

(b)

Compute the probability of the event (<em>X</em> < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

                =\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483

Thus, the probability of the event (<em>X</em> < 64) is 0.483.

5 0
3 years ago
Please help me with this question
Eddi Din [679]

Answer:

I

Step-by-step explanation:

At least means greater than or equal to

a ≥ 10

That is a closed circle

We have a closed circle at 10

We have to be at least 10 years old

Closed circle at 10, line going to the right

5 0
3 years ago
The perimeter of the rectangular base of a monument is 210.5 feet. If the width is equal to its​ length, what are the dimensions
Ann [662]
If width is equal to length then it's a square.
perimeter in this case would be 4x length of each side.
that is( 4 x length)= 210.5
length= width= 210.5/4= 52.62 feet
6 0
3 years ago
Which of the following illustrates the product rule for logarithmic equations? log Subscript 2 Baseline (4 x) = log Subscript 2
7nadin3 [17]

Answer:

D

Step-by-step explanation:

on Edge it is correct

5 0
3 years ago
Read 2 more answers
14b=a then what is a
Varvara68 [4.7K]
14b=a|\div14\\&#10;b=\dfrac{a}{14}
8 0
3 years ago
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