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4 years ago

Let x have a poisson distribution with a variance of 3. find p(x = 2).

1 answer:

7 0

Since the variance of a Poisson distribution with rate parameter $\lambda$ is $\lambda^2$ , we know that $\lambda=\sqrt3$ . So,

$\mathbb P(X=2)=\dfrac{e^{-\sqrt3}(\sqrt3)^2}{2!}=\dfrac3{2e^{\sqrt3}}\approx0.2654$

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Kala purchased a prepaid phone card for $15. Long distance calls cost $12 a minute using this card. Kala Use her card only once

irina [24]

Kala call lasted for 0.36 minutes

<em><u>Solution:</u></em>

Given that Kala purchased a prepaid phone card for $15

Long distance calls cost $12 a minute using this card.

If the remaining credit on her card is $10.68

To find: Number of minutes her call lasted

Let "x" be the number of minutes her call lasted

Cost of 1 minute = $ 12

Total balance = $15

Remaining balance = $ 10.68

So we can frame a equation as:

Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted

$15 = 10.68 + 12 \times x\\\\15 - 10.68 = 12x\\\\4.32 = 12x\\\\x = 0.36$

So her call lasted for 0.36 minutes

4 0

3 years ago

Find x in this porportion 5/2x =25/4

Andrei [34K]

Answer:

x = $\frac{2}{5}$

Step-by-step explanation:

Given

$\frac{5}{2x}$ = $\frac{25}{4}$ ( cross- multiply )

25 × 2x = 5 × 4

50x = 20 ( divide both sides by 50 )

x = $\frac{20}{50}$ = $\frac{2}{5}$

6 0

3 years ago

Read 2 more answers

What type of number is 4π?

shutvik [7]

Answer:

It would be an irrational number.

Because of π, or pi, it has no end, no pattern, and that multiplied by four will still be irrational. It can not be represented on a number line or infinite decimal expansion.

8 0

2 years ago

Suppose you have already been waiting for one hour for a taxi. what is the probability that one arrives within the next 10 minut

Alona [7]

The probability of one arrives within the next 10 minutes when he already been waiting for one jour for a taxi is,

P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1

= 0.3679

The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679

3 0

3 years ago

Write an equation of the line passing through the points (4,6) and (-2, - 18).

olga_2 [115]

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

point-slope formula: $y-y_{1}=m\left(x-x_{1}\right)$

Use slope formula and plug in your numbers: $m = \frac{-18-6}{-2-4 }$
Solve for slope $m = 4$
Use the point-slope formula to solve for the equation: $y-6=4\left(x-4\right)$
Solve and find equation: $y=4x-10$

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

4 0

3 years ago