1. (a) Two events A and B are such that P(A)=1/4,P(A/B)=1/2,and P(B/A)=2/3.Are A and B independent...
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(a) Two events A and B are such that P(A)=1/4,P(A/B)=1/2,and
P(B/A)=2/3.Are A and B independent...
tnis p your answer sheets 1. A single card is drawn from 52-card deck (10) Let A denotes the event that the card is red and B denotes the e is spade. Are the events being? a) Mutually exclusive?...
tnis p your answer sheets 1. A single card is drawn from 52-card deck (10) Let A denotes the event that the card is red and B denotes the e is spade. Are the events being? a) Mutually exclusive? b) Dependent? What is your conclusion and B? Any exception? 2. Two team (A and B) play a series of baseball games. The team who v five-game-series wins the series. Consider A has home-field advantag probability of winning 0.7 if it...
use sample 1,2,2,5,5 rest stays the same A population consists of 5 numbers: 1, 2, 2,...
use sample 1,2,2,5,5 rest stays the same
A population consists of 5 numbers: 1, 2, 2, 2, 3. Consider all possible samples of size two which can be drawn with replacement from this population. Find a) the mean of the population, b) the standard deviation of the population, e) the mean of the sampling distribution of means, d) the standard deviation of the sampling distribution of means. 6. Using the data of Problem 5, compute the mean of the sampling...
1. Three randomly selected households are surveyed. The numbers of people in the households are 3, 4 and 11. Assume that samples of size n=2 are randomly selected with replacement from the populatio...
1. Three randomly selected households are surveyed. The numbers of people in the households are 3, 4 and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (c).3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table...
(d) It is bimodal. (3) What is the set of all simple events of an experiment...
(d) It is bimodal. (3) What is the set of all simple events of an experiment called (a) a population (b) a distribution (e) a sample space (d) a random sample (4) For two events A and B. suppose: A 03 0.4 Then PiAU B) is equal to A0.1 0.2 (5) Suppose PA).4. P B) 0.3, and P(AnB) o.12. Which one of the following statements correctly defines the relationship hetween events A and B (a) Events A and B are...
Suppose that the events A, B and C are mutually independent with P(A)=1 /2, P(B)=1/3 and...
Suppose that the events A, B and C are mutually independent with P(A)=1 /2, P(B)=1/3 and P(C)=1/4. Compute P(AB U C). Note: the answer is 3/8. Show the steps to get to the final answer.
Assume a population of 1, 4, and 10. Assume that samples of size n = 2...
Assume a population of 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 o a. Find the value of the population standard deviation o. (Round to three decimal places as needed.) b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution...
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB)...
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
Question 1 [12 + 4 =16 marks] A. Let A and B be two events such...
Question 1 [12 + 4 =16 marks] A. Let A and B be two events such that P( A) 0.6 , P(B) 0.4 and P( A B) 0.10. Calculate P( A B). Calculate P( A | B). iii. Are events A and B independent? Justify your answer. iv. Are events A and B mutually exclusive events? Justify your answer. (2 + 2 + 3 + 3 = 10 marks) B. A box contains 20 DVDs,...
#5 (4 pts.) Consider the following sample space S and events A and B. s-(-4 <...
#5 (4 pts.) Consider the following sample space S and events A and B. s-(-4 < x < 2, 6 < x < 12), A={-4 < x < 0}, B=(-1 x<2), A and B are: a. (mutually exclusive, independent) b. (mutually exclusive, dependent) c. (non-mutually exclusive, independent) d. (non-mutually exclusive, dependent) #6 (4 pts.) In problem #5 P(B-A)- c. 1/4 d. 1/6
Assume a population of 2, 4, and 9. Assume that samples of size n 2 are...
Assume a population of 2, 4, and 9. Assume that samples of size n 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below 4.9 9,9 2,2 2,4 2,9 4,4 9,2 9.4 a. Find the value of the population standard deviation σ (Round to three decimal places as needed.) b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard...
tnis p your answer sheets 1. A single card is drawn from 52-card deck (10) Let A denotes the event that the card is red and B denotes the e is spade. Are the events being? a) Mutually exclusive? b) Dependent? What is your conclusion and B? Any exception? 2. Two team (A and B) play a series of baseball games. The team who v five-game-series wins the series. Consider A has home-field advantag probability of winning 0.7 if it...
use sample 1,2,2,5,5 rest stays the same
A population consists of 5 numbers: 1, 2, 2, 2, 3. Consider all possible samples of size two which can be drawn with replacement from this population. Find a) the mean of the population, b) the standard deviation of the population, e) the mean of the sampling distribution of means, d) the standard deviation of the sampling distribution of means. 6. Using the data of Problem 5, compute the mean of the sampling...
(d) It is bimodal. (3) What is the set of all simple events of an experiment called (a) a population (b) a distribution (e) a sample space (d) a random sample (4) For two events A and B. suppose: A 03 0.4 Then PiAU B) is equal to A0.1 0.2 (5) Suppose PA).4. P B) 0.3, and P(AnB) o.12. Which one of the following statements correctly defines the relationship hetween events A and B (a) Events A and B are...
Assume a population of 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 o a. Find the value of the population standard deviation o. (Round to three decimal places as needed.) b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution...
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
#5 (4 pts.) Consider the following sample space S and events A and B. s-(-4 < x < 2, 6 < x < 12), A={-4 < x < 0}, B=(-1 x<2), A and B are: a. (mutually exclusive, independent) b. (mutually exclusive, dependent) c. (non-mutually exclusive, independent) d. (non-mutually exclusive, dependent) #6 (4 pts.) In problem #5 P(B-A)- c. 1/4 d. 1/6
Assume a population of 2, 4, and 9. Assume that samples of size n 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below 4.9 9,9 2,2 2,4 2,9 4,4 9,2 9.4 a. Find the value of the population standard deviation σ (Round to three decimal places as needed.) b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard...
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