Please Solve; -1/4(-20b+8)

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

Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2.

weqwewe [10]

Answer:

a) 6
b) 3.125 or 25/8

Step-by-step explanation:

a)

1.5x² + 6x + * =
1.5(x² + 4x + *) =
1.5(x² + 2*2x + 4) =
1.5(x + 2)²
* = 1.5*2² = 6

b)

2x² - 5x + * =
2(x² - 2.5x + *) =
2(x² - 2*1.25x + 1.25²)=
2(x - 1.25)²
* = 2*(1.25)² = 3.125 or 25/8

6 0

3 years ago

Read 2 more answers

there are 10 students in a social studies class. three students will be selected to present their term projects today. in how ma

pogonyaev

The answer is equivalent to 10*9*8 as their is one less student to go after each presentation.
720 ways.

6 0

3 years ago

Read 2 more answers

To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $

Nonamiya [84]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1472\\
P=\textit{original amount}\to& \$1080\\
r=rate\\
t=years\to &\frac{1}{12}
\end{cases}
\\\\\\
1472=1080\left(1+r\cdot \frac{1}{12}\right)$

notice, it was pawned for only 1 month, so the "yearly" rate is for 1 month, which is 1/12 of the year, since a year has 12 moths

you'll get a rate in decimal terms, to get the % amount, just multiply it times 100

6 0

3 years ago

Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity

STatiana [176]

Answer:

csdkc kwhbfc d cjasd c

Step-by-step explanation:

sdjnf ewaihfbashehkf liq4bf;wjhf

6 0

3 years ago