![ayoismeisalex](/avatars/44741.jpg)
ayoismeisalex
22.12.2020 •
Mathematics
Which statement(s) give advantages or disadvantages of systematic random sampling? Check all that apply.
The population size does not need to be known.
Every member of the population must be listed in order.
Making sure each stratum is representative of the population can be difficult.
Unknown patterns of differences in the population can be difficult to detect.
Every member of a population does not need to be known.
Solved
Show answers
More tips
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics What is the area of the composite figure below...
- M Mathematics Find the solution mentally. d. 24 = -12...
- M Mathematics Sergio passes by a bike store on Monday and sees his dream bike in the window. It cost 120 . He passes by on Wednesday and is thrilled to see that is marked down by 1/4 ....
- S Social Studies Troy has been consistently throwing a ball a distance of 10 m. he wants to throw the ball even further. what could troy do to throw a ball further?...
- M Mathematics The sketch shown could be the solution to which problem? Sketch an isosceles trapezoid and label its parts. Sketch a parallellogram and label its parts. Sketch a trapezoid...
Ответ:
a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?
We want this probability"
At most 3 hours?
b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?
What is the probability that it is less than the mean value by more than one standard deviation?
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
The cumulative distribution for this function is given by:
We know the value for the mean on this case we have that :
Solution to the problem
Part a
What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?
We want this probability"
At most 3 hours?
Part b
What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?
The variance for the esponential distribution is given by:![Var(X) =\frac{1}{\lambda^2}](/tpl/images/0512/0749/9af6b.png)
And the deviation would be:
And the mean is given by![Mean = 2.725](/tpl/images/0512/0749/f2555.png)
Two deviations correspond to 5.540, so we want this probability:
What is the probability that it is less than the mean value by more than one standard deviation?
For this case we want this probablity: