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
qwelly [4]
3 years ago
10

4. The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the pr

obability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. a. What probability distributions' properties is this? b. What is the expected value of the random variable x? c. What is the variance of the random variable x?
Mathematics
1 answer:
AnnZ [28]3 years ago
5 0

Answer:

a) We have the mean number of events is interval(5.3 events in 10 minutes), which constitutes the Poisson probability distribution.

b) 5.3

c) 5.3

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 time interval.

a. What probability distributions' properties is this?

We have the mean number of events is interval(5.3 events in 10 minutes), which constitutes the Poisson probability distribution.

b. What is the expected value of the random variable x?

It is known that the mean number of occurrences in ten minutes is 5.3.

So the mean is \mu = 5.3

c. What is the variance of the random variable x?

In the Poisson probability distribution, the variance is the same as the mean. So the variance is 5.3.

You might be interested in
8. find the unknown angle
goldfiish [28.3K]

38,71,71

Step-by-step explanation:

hshsnsjjdjdjdkdkdkkkkk

5 0
3 years ago
Read 2 more answers
John measured the diameter of four steel rods. Compare his measurements, listed below. Which one is the largest?
sveta [45]
The largest steel rod is D. 0.25 inches.
7 0
3 years ago
Read 2 more answers
Use the drawing tool(s) to form the correct answer on the provided grid.
solniwko [45]
She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:

4 0
3 years ago
Read 2 more answers
Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,
Y_Kistochka [10]

Answer: 13%

Step-by-step explanation:

The formula to find the simple interest is given by :-

I=Prt, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).

Given : P = $19,100 ,  I=$9932.00  and t=  4 years

Substitute all the above values in the formula , we get

9932.00=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow r=\dfrac{13}{100}=0.13

In percent , r=0.13\times100=13\%

Hence, the rate of interest = 13%

6 0
3 years ago
Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?
9966 [12]
The Correct answer is B.18
5 0
3 years ago
Other questions:
  • Which value of x will make the following statement false?
    8·1 answer
  • A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
    11·1 answer
  • 3|x+1|-2 write the new equation translate the graph up 2 units
    15·1 answer
  • Convert 300 grams into kilograms
    9·2 answers
  • How many 50 cents coins are there in $10:50​
    6·1 answer
  • Need help with this plz help me
    11·2 answers
  • What is 6.5% of $6991.94
    8·2 answers
  • What is the value of<br> 4(x − 2)(x – 3) + 7(x - 2)(x - 5) – 6(x − 3)(x - 5)<br> when x = 5?
    13·1 answer
  • Which of following steps were applied to ABCD to obtain A’B’C’D
    8·1 answer
  • Hi! I've tried this problem a couple times but am still stumped :( Can you help?!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!