1:
It is given that
(a)
By the complement rule, the probability that next customer will buy a desktop is
(b)
I need answer for example 1 . the probabilities of occurrence of these events are, respectively,...
Negative Binomial experiment is based on sequences of Bernoulli trials with probability of success p. Let x+m be the number of trials to achieve m successes, and then x has a negative binomial distribution. In summary, negative binomial distribution has the following properties Each trial can result in just two possible outcomes. One is called a success and the other is called a failure. The trials are independent The probability of success, denoted by p, is the...
2. Suppose 4 Bernoulli trials, each with success probability p, are con ducted such that the outcomes of the 4 experiments pendent. Let the random variable X be the total number of successes over the 4 Bernoulli trials are mutually inde- (a) Write down the sample space for the experiment consisting of 4 Bernoulli trials (the sample space is all possible sequences of length 4 of successes and failures you may use the symbols S and F). (b) Give the...
A biased coin is tossed n times. The probability of heads is p and the probability of tails is q and p=2q. Choose all correct statements. This is an example of a Bernoulli trial n-n-1-1-(k-1) p'q =np(p + q)n-1 = np f n- 150, then EX), the expected value of X, is 100 where X is the number of heads in n coin tosses. f the function X is defined to be the number of heads in n coin tosses,...
I. The random variables X,, where P(success) = P(X = 1) = p = 1-P(X = 0) for1,2,..., represent a series of independent Bernoulli trials. Let the random variable Y be the trial number on which the first success is achieved (a) Explain why the probability mass function of Y is f(y) = pqy-1, y = 12. where q 1- p. State the distribution of Y. 2 part of your answer you should verify this is a marimum likelihood estima-...
PLEASE ANSWER FROM WHERE IT SAYS "Continuing from Part 1" Consider a sequence of n Bernoulli trials with success probabilty p per trial. A string of consecutive successes is known as a success run. Write a function that returns the counts for runs of length k for each k observed in a dictionary. For example: if the trials were [0, 1, 0, 1, 1, 0, 0, 0, 0, 1), the function should return {1:2, 2: 1)) What is the return...
6th pls answer it fast robability Theory and Mathematical statistics Final examination Variant 4 Part 1. Random Events he probability that a computer crashes during a severe thunderstorm is 0.005. A certain npany had 550 working computers when the area was hit by a severe thunderstorm. Compute ne probability that exactly 2 computers crashed. 2. It is known about random events A and B that PCB) = 5P (AB). PCA) = 0.7and P(A + B) = 0.6. Find P(B). 3....
Please answer me clearly so I can read well BSP2014 Tutorial 2 1. Check whether the given function can serve as the probability mass function(p.m.f.) of a random variable 2forx-1,2, 3,4, 5 ii) Ax)for-0,1,2, 3,4 2. A random variable X has the following probability distribution. 0.1 2k 0.3 i)Find k ii)Evaluate PX2 and P-2X2) iii) Find the CDF of X 3. If X has the cumulative distribution function, CDF Fix) = I/2 , 1 xc3 x25 Find a) PXS 3)...
1. A Binomial random variable is an example of a, a continuous random variable b. a discrete random variable. c. a Binomial random variable is neither continuous nor discrete d. a Binomial random variable can be both continuous and discrete. Consider the following probability distribution where random variable X denotes the number of cups of coffee a random individual drinks in the morning P(x) 0.350 .400 .14 0.07 0.03 0.01 pe a. Compute the probability that a random individual drinks...
1.) A particular fruit's weights are normally distributed, with a mean of 601 grams and a standard deviation of 34 grams. If you pick 2 fruit at random, what is the probability that their mean weight will be between 599 grams and 668 grams 2.) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 225.1-cm and a standard deviation of 1.4-cm. For shipment, 15 steel rods are bundled together. Find the...
[25 points] Problem 4 - CDF Inversion Sampling ers coming from the U(0, 1) distribution into In notebook 12, we looked at one method many pieces of statistical software use to turn pseudorandom those with a normal distribution. In this problem we examine another such method. a) Simulating an Exponential i) The exponential distribution has pdf f(x) = le-ix for x > 0. Use the following markdown cell to compute by hand the cdf of the exponential. ii) The cdf...