Suppose the sample space S is finite, of size m. How many different indicator functions can be defined on S?
Let S be finite sample space i.e |S| is finite. Then possible number of subsets of S are 2^|S| . Since indicator function is defined on subsets of S, therefore total 2^|S| number of indicator function are possible.
Suppose the sample space S is finite, of size m. How many different indicator functions can...
(1 point) How many different functions f : S + T can be defined that map the domain S = {1,2,3,...,6} to the range T = {1,2,3,..., 15) such that f is NOT one-to-one? Enter your answer in the box below. Answer =
Please Show you're work! Please Explain you're answers QUESTION 1 A finite sample space can only contain events that are finite. a. False b. True QUESTION 2 An infinitely large sample space can only contain events that are infinite. a False b-True. QUESTION 3 Consider the experiment of tossing a coin six times. How many outcomes does the sample space for this experiment have? a. 6 b. 12 C. 46 d.36 e.64
Example: i) How many different samples of size n= 3 can be drawn with replacement from a finite population of size N = 4? The least number of times a fair coin must be tossed so that the probability of getting at least one head is at least 0.9, is
Suppose that a random sample of size 1 is to be taken from a finite population of size N. Answer parts (a) through (c) below. a. How many possible samples are there? A. N + 1 B. N-1 0 C. N D. 1 b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration. Choose the correct answer below. A. Each possible sample mean is equal to an observation, only if the population...
1/2 b dr Problem 1: Suppose that [a, b] exists R, and let V be the space of all functions for which and is finite. For two functions f and g in V and a scalar A e R, define addition and scalar multiplication the usual way: (Af)(x) f(x) f(x)g(r) and (fg)(x) Verify that the set V equipped with the above operations is a vector space. This space is called L2[a, b 1/2 b dr Problem 1: Suppose that [a,...
Suppose that 4 tables in a production run of 50 are defective. A sample of 7 is to be selected to be checked for defects 9. How many different samples can be chosen? a. How many samples will contain at least one defective table? b. What is the probability that a randomly chosen sample of 7 contains at least one defective table? c. Suppose that 4 tables in a production run of 50 are defective. A sample of 7 is...
How many elements are in the sample space S? n(S)= List the elements of the given event E. Comute the probability of E. P(E)= Consider the given event. Four coins are tossed; the result is fewer tails than heads. How many elements are in the sample space S? n(S) = List the elements of the given event E. (Select all that apply.) Ο ΠΤΗ Онтот HHHT OHHHH Онтнт TIT HATT THT отннн Онтни HHTH HTTH TTHH THHT THTH О тент...
Simple random sampling uses a sample of size from a population of size to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 75 bank accounts, we want to take a random sample of five accounts in order to learn about the population. How many different random samples of five accounts are possible?
Problem 1.2 As we saw in class, if a sample space S consists of a finite number of outcomes, then it is possible to assign each outcome its own probability. In this special case, the proba bility of an event can be calculated by adding up the probabilities of its individual outcomes. Specifically, if E s1,s2,, Sm), then Additionally, if all outcomes are equally likely, this formula simplifies to P[El-# of outcomes in E ] _ #Of outcomes in S...
How many different simple random samples of size 5 can be obtained from a population whose size is 34? The number of simple random samples which can be obtained is ____ (Type a whole number)