question1: 2 men and 6 women are seated randomly about a round table. Determine the probability...
question1: 2 men and 6 women are seated randomly about a round table. Determine the probability that the two men are NOT seated next to each other.
a) .856 b) .824 c) .777 d) .750 e) .714
question2: Suppose that A, B & C are events. Which is/are
true ?
a) P(A) ≤ P(AUB) ≤ P(AB) b) P(AUC) ≥ P(AB) ≥ P(ABC) c) P(A) = P(AB'
)P(AB) d) P(ABC) ≤ P(AB) ≤ P(A)
e) P(A) = P(AB) + P(AB')
question3: A box contains 3 red, 7 white & 2 blue marbles. Two marbles are chosen at random without replacement. Determine the probability that the selected marbles are different colors.
a) .621 b) .638 c) .655 d) .672 e) .689
question4: Continuing (question3), suppose 3 marbles are chosen with replacement. Determine the probability that the selected marbles are different colors.
a) .179 b) .162 c) .146 d) .128 e) .111
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question1: 2 men and 6 women are seated randomly about a round
table. Determine the probability...
question1: 72% of Chicago-area residents are Cub-fans, 60% are Sox-fans & 92% are fans of at...
question1: 72% of Chicago-area residents are Cub-fans, 60% are Sox-fans & 92% are fans of at least one of the teams. Determine the probability that a randomly chosen Chicago-area resident is a Cub-fan, given that s/he is a Sox-fan. a) .700 b) .723 c) .667 d) .556 e) .744 question2: In problem (1), P(Cub-fan | a Cub-fan or a Sox-fan, but not both) a) .525 b) .545 c) .576 d) .600 e) .615 question3: A class contains 6 Iowans, 6...
question1: Eight people each toss a fair coin five times. Determine the probability that at least...
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question1: 92% of Sardinians live more than 80 years, & 34% live fewer than 90 years....
question1: 92% of Sardinians live more than 80 years, & 34% live fewer than 90 years. Determine the probability that a randomly chosen Sardinian lives more than 90 years, given that s/he lives more than 80 years. a) .58 b) .63 c) .68 d) .72 e) .77 question2: Suppose P(β=1)=.4, P(β=2)=.6 & X~U(0,β). Determine P(X < .8). a) .44 b) .48 c) .52 d) .56 e) .60 note: X ~ U(0, β) P(X < t) = t / β for 0...
(1 point) A pool of potential jurors consists of 16 men and 14 women. 10 jurors...
(1 point) A pool of potential jurors consists of 16 men and 14 women. 10 jurors are to be chosen at random from the pool of 30. What is the probability that this jury is made up Part (a) 3 men? Part (b) half of the jury are men and half are women? Part (c) at least two women are amongst the 10 jurors? EEE (use four decimals) (use four decimals) (use four decimals) Part (d) The jury has been...
(2 points) In a study of red/ men and 2100 women are randomly selected and tested....
(2 points) In a study of red/ men and 2100 women are randomly selected and tested. Among the men, 44 have red/green color blindness. Among the women, 5 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. (Note: Type P-m not = p-w for the proportions are not equal, p_m > p_w for the proportion of men with color blindness is larger, p_m < p_w ,for the proportion of men is smaller,...
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1...
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1 A A B C C Determine the probability that the two chosen cards match a).24 b).32 36 d)44 e).50 Box2 A B B C C 2) The glove compartment of Sally's car contains 12 jazz CD's: 5 Cool, 3 Bebop & 4 Smooth. She reaches in & selects5 at random to play during her trip to Chicago. Determine the probability that she selects 2...
6. Find the expected value of the random variable: 2 الدها X P(x) 0 0.32 4...
6. Find the expected value of the random variable: 2 الدها X P(x) 0 0.32 4 0.10 0.23 0.3 0.05 A) 1.38 B) 2.22 C) 2.09 D) 1.42 E) None of the Above 7. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 42 male and 33 female dogs at a local rescue are chosen, and 12males and 12 females are randomly chosen from these groups. A) Stratified B) Cluster C) Convenience D) Stratified E)...
Students must show work to receive full credit. 1. Differentiate “Empirical Probability” and “Classical Probability”. 2....
Students must show work to receive full credit. 1. Differentiate “Empirical Probability” and “Classical Probability”. 2. Define “Independent Events”, “Mutually Exclusive Events”, and “Collectively Exhaustive Events”. 3. Suppose there are 15 red marbles and 5 blue marbles in a box. (3.a) If an individual randomly selects two marbles without replacement, what is the probability that both marbles are red? (3.b) If an individual randomly selects two marbles with replacement, what is the probability that both marbles are red? 4. Solve...
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 Gende...
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...
3.5-total number of ways in which 4 balls can be selected out of 6 white and...
3.5-total number of ways in which 4 balls can be selected out of
6 white and 9 black balls = 15P4 = 32760
Number of ways in which 4 balls can be selected where first 2
are white and last 2 black = 6P2*9P2 = 2160
Thus, required probability = 2160/32760 =
0.0659
3.16)
Let the event that baby survives delivery be denoted by B
and the event that C section is performed be denoted by C
P(B) = 0.98,...
(1 point) A pool of potential jurors consists of 16 men and 14 women. 10 jurors are to be chosen at random from the pool of 30. What is the probability that this jury is made up Part (a) 3 men? Part (b) half of the jury are men and half are women? Part (c) at least two women are amongst the 10 jurors? EEE (use four decimals) (use four decimals) (use four decimals) Part (d) The jury has been...
(2 points) In a study of red/ men and 2100 women are randomly selected and tested. Among the men, 44 have red/green color blindness. Among the women, 5 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. (Note: Type P-m not = p-w for the proportions are not equal, p_m > p_w for the proportion of men with color blindness is larger, p_m < p_w ,for the proportion of men is smaller,...
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1 A A B C C Determine the probability that the two chosen cards match a).24 b).32 36 d)44 e).50 Box2 A B B C C 2) The glove compartment of Sally's car contains 12 jazz CD's: 5 Cool, 3 Bebop & 4 Smooth. She reaches in & selects5 at random to play during her trip to Chicago. Determine the probability that she selects 2...
6. Find the expected value of the random variable: 2 الدها X P(x) 0 0.32 4 0.10 0.23 0.3 0.05 A) 1.38 B) 2.22 C) 2.09 D) 1.42 E) None of the Above 7. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 42 male and 33 female dogs at a local rescue are chosen, and 12males and 12 females are randomly chosen from these groups. A) Stratified B) Cluster C) Convenience D) Stratified E)...
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...
3.5-total number of ways in which 4 balls can be selected out of
6 white and 9 black balls = 15P4 = 32760
Number of ways in which 4 balls can be selected where first 2
are white and last 2 black = 6P2*9P2 = 2160
Thus, required probability = 2160/32760 =
0.0659
3.16)
Let the event that baby survives delivery be denoted by B
and the event that C section is performed be denoted by C
P(B) = 0.98,...
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