Laboratory work 1. Distribution Laws of Discrete Random Variables
Random Variables Section. Topic "Distribution Laws of Discrete Random Variables".
I offer you a mini-test. Question 1. A discrete random variable is … Answer options. Choose the correct one, in your opinion.
Question 2. The number of students at a lecture is a random variable… Answer options, choose the correct one. Question 3. Laws of distribution of a discrete random variable…
Answer options. Select the correct one.
Let's check the answers. Question 1: the correct answer is 2. Question 2: the correct answer is 1. Question 3: the correct answer is 4.
In Microsoft Excel, the binomial distribution can be calculated using a special BINOMIAL statistical function.RASP.
So, let'stake an example. We need to find the probability that three out of four newborns will be boys. The number of success is 3, we have 4 tests in total, the probability of success is 0.5, since the birth of a boy and a girl are equally possible probabilities (there is one chance out of two), 0.5.
The integral function of 0. The probability will be 0.25.
We need to find the probability that no more than three out of four newborns will be boys. We can have three successful attempts, the total number of trials is 4, and the probability of success is 0.5. We have "no more" in the task, therefore, the integral function is equal to 1. The probability in this case is 0.9375.
The Poisson distribution can be calculated in Microsoft Excel using the special function POISSON. RASP. Let’s consider the POISSON function using the following problem as an example.
The manuscript contains 500 pages.
The probability that a manuscript page contains at least 1 typo is 0.01. We need to find the probability that there are no typos in the manuscript.
Let’s find the average value.
The average value is denoted either byμ or λ, and it is calculated using the formula μ=np, n=500, p=0.01. Then our average value is 5.
So, let's find our function. The number of typos here is 0, since there are no typos. We calculated the average value and it is 5.
The integral function in this case is 0.
The probability is approximately 0.007.
These are the tasks for you to solve independently. We wish you success. Thank you for your attention!