Are inverse functions? <br> f(x) = <br> 1<br> 3<br> x − 8, g(x) = 3x + 2

The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,

professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so $\mu = 7*0.6 = 4.2$

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

$P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630$

$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

So

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0

3 years ago

At a party there are 40 cookies. There are 5 chocolate cookies for every 3 oatmeal cookies,how many oatmeal cookies are there

Pavel [41]

The answer is: 15

Because if for every 5 c cookies there is 3 oatmeal cookies, we can add 5+3=8. 40 divided by 8= 5. 5 times 3 equals 15. That’s why the answer is 15

4 0

3 years ago

Read 2 more answers

228 divided by 12 using base ten blocks

pishuonlain [190]

Hello! Your answer was 19! There is no possible way for me to show you how to work this out using base ten blocks! Hopefully you can work it out in your head next time! :)

3 0

3 years ago

Which pair does not belong

never [62]

What are the options

6 0

3 years ago

Show that if we are given the odds against an event w as a:b, the probability of not w is

Assoli18 [71]

You simply switch the odds, the answer would be b:a

7 0

3 years ago

Are inverse functions? f(x) = 1 3 x − 8, g(x) = 3x + 2