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erma4kov [3.2K]
3 years ago
7

The number of errors in a textbook follow a poisson distribution with a mean of 0.01 errors per page. what is the probability th

at there are 3 or less errors in 100 pages? round your answer to four decimal places (e.g. 98.7654).
Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
Mean number of errors in each page = 0.01
Mean number of errors in 100 pages = 0.01*100=1

It is possible to use the cumulative distribution function (CMF), but the math is a little more complex, involving the gamma-function.  Tables and software are available for that purpose.

Thus it is easier to evaluate with a calculator for the individual cases of k=0,1,2 and 3.

The Poisson distribution has a PMF (probability mass function) 
P(k):=\frac{\lambda^ke^{-\lambda}}{k!}
with λ = 1
=>
P(0):=\frac{1^0e^{-1}}{0!}=0.3678794
P(1):=\frac{1^1e^{-1}}{1!}=0.3678794
P(2):=\frac{1^2e^{-1}}{2!}=0.1839397
P(3):=\frac{1^3e^{-1}}{3!}=0.0613132
=>
P(k
or
P(k<=3)=0.9810 (to four decimal places)
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What are the characteristics of the function f(x)=2(x-4)^5? Check all that apply
GaryK [48]

Answer:

Option B , C , E are characteristics of the function .

Step-by-step explanation:

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x-4)^{5}.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option E is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option C is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option B , C , E are characteristics of the function .

3 0
3 years ago
Which set of numbers could be the length of the sides of a triangle?
san4es73 [151]

3. {6,9,15)

for these u have use Pythagoras theorem

4 0
3 years ago
Solve this linear system by graphing <br> x-y=6 <br> 2x=12+2y
lys-0071 [83]
You need to isolate the variables. For the first equation add x to both sides, which leaves you with y.

For the second equation, divide each side by 2 leaving you with
x= 6+y. Subtract y from each side. Subtract x from both sides. Now you have y= x + 6.

Now graph those equations.
5 0
3 years ago
12 less the product of an unknown number and three equals -9.
chubhunter [2.5K]
In standard form its written 
3x-12=-9
if you need help solving then here you go as well
3x-12=-9
add 12 to both sides
3x=3
divide both sides by 3 
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4 0
3 years ago
Trailblazers Inc. is known for making high quality suits. If they take 9 days to stitch 90 suits, how long will it take them to
irina [24]

Answer:

It will take them a total of 18 days because if it took them 9 days to make 90 multiply that by 2 to get 180 and you get the answer.

Step-by-step explanation:

9 = 90

9 x 2 = 18

90 x 2 = 180

you make 180 suits in 18 days

8 0
3 years ago
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