All categories

3 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,

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

You might be interested in

Solve the equation. Check the solution -4/x+1 = -1/x+5

boyakko [2]

The answer to this equation is x= -19/3

4 0

3 years ago

Read 2 more answers

The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A de

antoniya [11.8K]

Answer:

a) $P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4$

b) $P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8$

c) $P(A') = 1-P(A) =1-0.4=0.6$

d) $P(A \cup B) =0.4 +0.8-0.2 =1.0$

e) The intersection between the set A and B is the element c so then we have this:

$P(A \cap B) = P(c) =0.2$

Step-by-step explanation:

We have the following space provided:

$S= [a,b,c,d,e]$

With the following probabilities:

$P(a) =0.1, P(b)=0.1, P(c) =0.2, P(d)=0.4, P(e)=0.2$

And we define the following events:

A= [a,b,c], B=[c,d,e]

For this case we can find the individual probabilities for A and B like this:

$P(A) = 0.1+0.1+0.2 = 0.4$

$P(B) =0.2+0.4+0.2=0.8$

Determine:

a. P(A)

$P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4$

b. P(B)

$P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8$

c. P(A’)

From definition of complement we have this:

$P(A') = 1-P(A) =1-0.4=0.6$

d. P(AUB)

Using the total law of probability we got:

$P(A \cup B) =P(A) +P(B)-P(A \cap B)$

For this case $P(A \cap B) = P(c) =0.2$ , so if we replace we got:

$P(A \cup B) =0.4 +0.8-0.2 =1.0$

e. P(AnB)

The intersection between the set A and B is the element c so then we have this:

$P(A \cap B) = P(c) =0.2$

8 0

3 years ago

What is 0.3(−32.48−14.02)

shtirl [24]

Answer:

-13.95

Step-by-step explanation:

0.3(-32.48-14.02)

0.3(-46.5)

=-13.95

hope this helps!

8 0

3 years ago

What is the solution of -5x > 25?

Veseljchak [2.6K]

Divide both sides by -5.
−5x /−5 > 25 /−5

ANSWER: X < - 5

4 0

3 years ago

3/7 of the students in a school are in sixth grade.

Andre45 [30]

Answer:

90 students

Step-by-step explanation:

Set up a proportion

3/7 = x/210 cross multiply and solve for x

7 0

4 years ago