Question

Let S = {s1, s2, s3, s4, s5, s6} be the sample space associated with the...

Let S = {s1, s2, s3, s4, s5, s6} be the sample space associated with the experiment having the following probability distribution. (Enter your answers as fractions.) Outcome s1 s2 s3 s4 s5 s6 Probability 3 12 1 12 4 12 1 12 2 12 1 12 (a) Find the probability of A = {s1, s3}. (b) Find the probability of B = {s2, s4, s5, s6}. (c) Find the probability of C = S.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a decision situation with four possible states of nature: s1, s2, s3, and s4. The...
Consider a decision situation with four possible states of nature: s1, s2, s3, and s4. The prior probabilities are P(s1) = 0.35, P(s2) = 0.15, P(s3) = 0.20, P(s4) = 0.30. The conditional probabilities are P(C|s1) = 0.2, P(C|s2) = 0.09, P(C|s3) = 0.15, and P(C|s4) = 0.20. Find the revised (posterior) probabilities P(s1|C), P(s2|C), P(s3|C), and P(s4|C).
State of Nature Decision Alternative s1 s2 s3 s4 d1 600 400 -100 120 d2 700...
State of Nature Decision Alternative s1 s2 s3 s4 d1 600 400 -100 120 d2 700 -200 0 400 d3 700 -200 0 400 P(si) 0.3 0.4 0.2 0.1 For a lottery having a payoff 700 with probability p and -200 with probability (1-p), the decision maker expressed the following indifference probability. Suppose U (700) =100 and U (-200) =-10. Payoff Indifferent Probability 600 0.95 400 0.8 120 0.5 0 0.35 -100 0.2 a) Complete the utility table by using...
SUPPLIER Sno Sname Status City s1 Smith 20 London s2 Jones 10 Paris s3 Blake 30...
SUPPLIER Sno Sname Status City s1 Smith 20 London s2 Jones 10 Paris s3 Blake 30 Paris s4 Clark 20 London s5 Adams 30 NULL PART Pno Pname Color Weight City p1 Nut Red 12 London p2 Bolt Green 17 Paris p3 Screw NULL 17 Rome p4 Screw Red 14 London p5 Cam Blue 12 Paris p6 Cog Red 19 London SHIPMENT Sno Pno Qty Price s1 p1 300 .005 s1 p2 200 .009 s1 p3 400 .004 s1 p4...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired and 80% were pre-retired, the following question was asked: Do you expect your income needs to vary from year to year in retirement? Of those who were retired, 23% answered no, and 77% answered yes. Of those who were pre-retired, 28% answered no, and 72% answered yes. If a respondent in the survey was selected at random and had answered yes to the question,...
Write each vector as a linear combination of the vectors in S. (Use s1 and s2,...
Write each vector as a linear combination of the vectors in S. (Use s1 and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, −2), (2, −1, 1)} (a)    z = (−5, −5, 5) z = ? (b)    v = (−2, −6, 6) v = ? (c)    w = (−1, −17, 17) w = ? Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum...
1) Let S = {H, T} be the sample space associated to the fair coin-flipping. Is...
1) Let S = {H, T} be the sample space associated to the fair coin-flipping. Is {H} independent from {T}? 2) Let S = {HH, HT, TH, T T} be the sample space associated to flipping fair coin twice. Consider two events A = {HH, HT} and B = {HT, T H}. Are they independent? 3) Suppose now we have a biased coin that will give us head with probability 2/3 and tail with probability 1/3. Let S = {HH,...
Let S1: x^2+y^2=4 and S2: z=−√(x^2+y^2) be two surfaces in space. (a) [2] Graph these two...
Let S1: x^2+y^2=4 and S2: z=−√(x^2+y^2) be two surfaces in space. (a) [2] Graph these two surfaces. (b) [4] Find equations of S1 and S2 in spherical coordinate system . (c) [4] Find the intersection of S1 and S2 in this (spherical) coordinate system. (d) [5] SET UP but DO NOT EVALUATE the triple integral in spherical coordinate system to evaluate the volume which is above the xy -plane, outside of S1 and inside of S2 . (Bonus) [2] Can...
A company is considering advertising its new product on TV on Super Bowl Sunday. Let d1,...
A company is considering advertising its new product on TV on Super Bowl Sunday. Let d1, d2 and d3 represent its decision to purchase one, two or three 30-second commercials respectively. Dependent on whether the game is S1 = “Dull,” S2 =“Average”, S3 =“Above average,” or S4 = “Exciting,” their probabilities and profits are as follows: S1 S2 S3 S4 Probability 0.1 0.3 0.4 0.2 d1 5 12 10 8 d2 -5 6 12 12 d3 7 14 -6 13...
A company is considering advertising its new product on TV on Super Bowl Sunday. Let d1,...
A company is considering advertising its new product on TV on Super Bowl Sunday. Let d1, d2 and d3 represent its decision to purchase one, two or three 30-second commercials respectively. Dependent on whether the game is S1 = “Dull,” S2 =“Average”, S3 =“Above average,” or S4 = “Exciting,” their probabilities and profits are as follows: S1 S2 S3 S4 Probability 0.1 0.3 0.4 0.2 d1 5 12 10 8 d2 -5 6 12 12 d3 7 14 -6 13...
Let S be a sample space with probability P and let A ⊂ S, B ⊂...
Let S be a sample space with probability P and let A ⊂ S, B ⊂ S be independent events. Given P (B) = 0.3 and P (A ∪ B) = 0.65, find P (A).