Determine whether a(2,3) b(7.12) and c(-5.-24)

Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia

lidiya [134]

Answer:

a) 0.30327

b) 0.07582

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution probability function is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 3 power surges per hour

x = variable whose probability is required

a) If a single disturbance in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of a single disturbance (power surge) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 1 disturbance per 10 minutes

P(X = 1) = (e^-0.5)(0.5¹)/1! = (e⁻⁰•⁵)(0.5)/1!

= 0.30327

b) If two disturbances in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of two disturbances (power surges) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 2 disturbance per 10 minutes

P(X = 2) = (e^-0.5)(0.5²)/2! = (e⁻⁰•⁵)(0.25)/2!

= 0.07582

Hope this Helps!!!

3 0

3 years ago

What is the result when 3/8x + 2 1/5 is subtracted from 3 1/2x - 4 1/10?<br><br> Don’t put a link.

Umnica [9.8K]

Answer:

Option 3 3 1/8x - 6 3/10

Step-by-step explanation:

(3 1/2x - 4 1/10) - (3/8x + 2 1/5)

Divide it into parts:

(3 1/2x - 3/8x) + (-4 1/10 - 2 1/5)

3 1/2x - 3/8x = 3 4/8x - 3/8x = 3 1/8x

-4 1/10 - 2 1/5 = -4 1/10 - 2 2/10 = -6 3/10

So we get:

2 1/4x - 6 3/10

6 0

3 years ago

Read 2 more answers

rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden

Ray Of Light [21]

It is given that the area of the circular garden = 100 $ft^2$

Area of circle with radius 'r' = $\pi r^2$

We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.

Since, area of circular garden = 100

$\pi r^2 = 100$