1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KengaRu [80]
3 years ago
5

Given that x has a Poisson distribution with

Mathematics
1 answer:
Alex3 years ago
8 0
The Poisson probability distribution function is
P(x;\mu)= \frac{e^{-\mu}\mu ^{x}}{x!}
where
μ = mean number of successes
x =  actual or expected number of successes

Given:
μ = 13
x = 5

Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
             = 0.8392/120
             = 0.006994
             = 0.0070  (to 4 dec. places)

Answer: 0.0070  (to 4 decimal places)

It is interesting to observe P(x) as x varies, as in the graph shown below.

You might be interested in
Round 4.645 to the nearest whole number! Please explain step by step to get marked
Gemiola [76]

Step-by-step explanation:

to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.

4.645 rounded to the nearest whole number = 5

5 0
2 years ago
What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?
Vika [28.1K]

A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.



Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b

-2 = (3/4)*(12) + b

You'll get b= -11

So the equation of the parallel line intersecting the point given is y= 3/4x -11.

I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.

3 0
2 years ago
Daniels teacher gave him 39 math problems for the week on Monday,Daniel completed 12 problems on Tuesday,he completed the same a
Ipatiy [6.2K]
he has 15 problems left
6 0
3 years ago
Read 2 more answers
The equation of a line parallel to 2x−y+4=0 that passes through the point ( -1, 5) is ___?
IrinaK [193]

Answer:

y=2x+7

Step-by-step explanation:

2x−y+4=0

y=2x+4

m=2

Line are parallel, so their slope is the same.

A(-1,5)... x1 =-1,y1 =5

y-y1 =m(x-x1)

y1 - 5=2(x-(-1))

y1 - 5=2(x+1)

y1-5=2x+2

y=2x+2+5

y=2x+7

3 0
3 years ago
Read 2 more answers
Ying is a professional deep water free diver.
mash [69]

Answer:

The lowest point is -100 meters, or 100 meters down

Step-by-step explanation:

D(x)=1/36(x-60)^2-100

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex

Since a is positive, the parabola opens up

The vertex is the minimum, which means it will be the lowest point

The vertex is (60,-100)

The lowest point is -100 meters, or 100 meters down

7 0
3 years ago
Other questions:
  • Eloise is investing in a retirement account. She plans on adding an additional $50 at the end of every year and the expected mon
    8·2 answers
  • Determine the function which corresponds to the given graph. a natural logarithmic function crossing the y axis at zero and goin
    11·1 answer
  • What property is illustrated by the statement? 7+(4+4)=(7+4)+4
    14·2 answers
  • Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of 7 pounds and a standard devia
    5·1 answer
  • A tailor cut 3/4 of an inch off a skirt and 1/6 of an inch off a pair of pants. How much more did the tailor cut off the skirt t
    5·1 answer
  • 20 subtracted from the product of 2 and a number is 14.
    8·2 answers
  • i drink 10 liters of water on weekdays and 4 liters of water on the weekend how many liters of water i drink per day
    9·1 answer
  • What is (5^3)6 in index form?
    8·1 answer
  • Whiat is the converse of the statement below?
    7·2 answers
  • 3/10y - 2/5 i need to find the coefficient and i dont know how
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!