n sweets are distributed at random to r children. Compute the probability that every child gets a sweet.(not the fraction of the possible outcomes that satisfy the property over the total number of outcomes-the question refers to finding an expression of the probability(since not all outcomes are equally likely ))
n sweets are distributed at random to r children. Compute the probability that every child gets...
For every family with 2 children, denote the sex of the first and the second child by a pair xy (where x and y can be either a boy or a girl), and suppose all 4 possible combinations of xy are equally likely.(a) What is the conditional probability that the second child is a girl, given that the first child is a boy. (b) The king comes from a family of two children. What is the probability that his sibling...
In dynamic resource allocation r tasks are assigned at random to n computers, with no restriction on the number of jobs per computer; list the possible outcomes of this experiment. Be sure to explain your notation. Assuming that the outcomes are all equally probable, find the probability of each of the following events : "Computer number 1 is B: "Computers number 1 and 2 are assigned no jobs"; C:"exactly two of the computers are assigned no jobs" D: "No computer...
i have uploaded the example 3.23 it may help Policies on cryptocurrency mining typically decide which N to use in order to control the rate at which co ins are generated (see Examplem), and increase the N over time to control the rate of growth. (a) If (even) N is increased by 50%, write an expression for the probability distribution of the number of attempted strings will be tried by miners before the reward is released. (b) Plot the distributions...
Imagine I chose 10-digit prime numbers p,q and r, such that n=pqr happened to be a Carmichael number. Write down an exact formula for the probability that a random a∈ {0,1, . . . , n−1} detects the compositeness of n when used in Fermat’s compositeness test. That is, how many of these a fail to satisfy a^(n−1)≡1 modn. Show that the probability that a random a will detect the compositeness of n is less than 1 in a billion
1. Suppose that r,., n are a random sample having probability density function Here the parameter θ > 0. (a) Determine the log-likelihood, (0), and a 1-dimensional sufficient statistic. (b) Show that P(X, S b:0) for f(r;0) given in (1) (c) Suppose now that because of a recurring computer glitch in storing the observations, only a +1 for f(r; random subset of the x, are observed. For the rest of the observations, it is only known that z; < 1/2....
Assignment Specifications We are going to use the Monte Carlo Method to determine the probability of scoring outcomes of a single turn in a game called Pig. Your Task For this assignment you will simulate a given number of hold?at?N turns of a game called Pig, and report the estimated probabilities of the possible scoring outcomes. You are NOT implementing the game of Pig, only a single turn of this game. The value of N will be acquired via user...
help please!!! The following table gives the number (lin millions) of men and women over the age of 24 at each level of educational attainment Did not College a Total Completed Some Gender complete high school college graduate high school Males 12.9 15.9 96.3 30.7 90.8 128 41.31037 103.7 Females 12.8 25.7 31.8 17.8 200 62.5 78.1 Total 33.7 A What is the probability that a randomly selected person over the age of 24 did not complete high school?(answer with...
1/ Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5 0.14 6 0.11 7 0.10 Find the standard deviation of this variable. 1.52 4.01 1.58 2.49 2/ The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you be likely to choose based on these data and why? Supplier B, as their standard deviation is higher and, thus, easier to...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska city. The average is one snowfall every 3 days. a) What is the probability of 5 snowfalls in 2 weeks? Carry answer to the nearest ten-thousandths b) What is the probability of a snowfall today? Carry answer to the nearest ten-thousandths Question 2 After observing the number of children checking out books, a librarian estimated the following probability distribution of x,...
i) What is the probability that G is negative? What is the probability that R is negative? Clint Conley, president of Conley Fisheries, Inc, operates a fleet of fifty cod fishing boats out of Newburyport, Massachusetts. Clint's father started the company forty years ago but has recently turned the business over to Clint, who has been working for the family business since earning his MBA ten years ago. Every weekday of the year, each boat leaves early in the morning,...