Q2. 5 marks] The sample space of a random experiment is (a; b; c; d; e)...
The sample space of a random experiment is {a,b,c,d,e,g,h}. Let A denote the event {a,b,c,d,e,g,h}, and let B denote the event {c,d,e,g} The sample space of a random experiment is (a, b, c, d, e, g, h). Let A denote the event(a, b, c, e, g, h), and let B denote the event {c, d, e, g). (25 points) 3. Determine the following: (a) B, (c) A (d) AUB' (e) AnB (n A'nB'
The sample space of a random experiment is fa, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows: b d Outcome C X 0 1.4 1.4 3 Determine the probability mass function of X. Use the probability mass function to determine the following probabilities. Give exact answers in the form of fraction a) P(X 1.4)= b) P(0.5<X< 2.7) c) P(X> 3) d) P(0 X 2) e) P(X 0 or X =...
Name & Family Name: Number Signature: [30p] 1. The sample space of a random experiment is given by S = {a,b,c,d,e.f.g.) and let B denote the event and B = {d,e,f.g) and A the event and B\A=t.g) and An B' = {a,b,c}. Pr (A) = 0.6, Pr(B) = 0.5, Pr(h) = 0.4 are known. Determine the following probabilities: (a) Pr(AUB); (b) Pr(A\B). " " set difference operator 135ol 2. A waveform voltage sienal Soncifu and nl
A random experiment has sample space S={a, b, c, d}S={a, b, c, d}. Suppose that P({a, d})=38, P({a, b})=58P({a, d})=38, P({a, b})=58, and P({d})=18P({d})=18. Use the axioms of probability to find the probabilities of each of the elementary events.
Question 2: The sample space of a random experiment is fabedef) such that the prob- ability of each outcome is given in the following table: Outcome Probability 0.09 0.24 0.15 0.3 0.16 0.06 a. Consider the following events: C fa, c,d, f D-tb, d, e (a) What is the probability that event A occurs? (b) What is the probability that event D does not occur? (c) If event B occurs, what is the probability that event D occurs? (d) Are...
Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.4, P(F)=0.3, P(E U F) =0.5, Find P(F|E) and determine if the two events are independent. A) P(F|E)= 3/4, E and F are independent. B) P(F|E)= 3/4, E and F are not independent. C) P(F|E)=1/2 , E and F are independent. D) P(F|E)= 1/2, E and F are not independent.
The sample space of a random experiment is fa, b, c, d, e, fI , and each outcome is equally likely. A random variable is defined as follows outcome abcde 0 03.9 7 715 Evaluate the cumulative distribution function of X at specified values. [Give exact answers in form of fraction.] F(0) F(3.9) F(7) F (15)
5. Consider an experiment with sample space S and events A,B,C, and D with the following probabil ities: P(AUB)-|, P(A) = P(čnD) = , P(C) = 훙 Furthermore, A and B are mutually exclusive (ie. A กั-o), while C and D are independent (ie. P(cr D) = P(C)P(D)). (Note: I know this looks like a lot of parts, but these are all short, quick answers!) (a) Find P(An (b) Find P(B) (c) Find P(AnB) (d) Find P(AUB) (e) Are A...
2. You randomly choose a letter from (A, B, C, D, E and a friend randomly chooses a letter from fa, b, c, d, e to create a pair of 2 letters with 1 upper case letter followed by 1 lower case letter. (Note: in the English alphabet, the vowels are A, E, I, O, U.) a) Write out the sample space for this experiment. (For example one outcome in the sample space is: Ac; another is Bb.) For parts...
Let and B be events in a sample space S, and let C = S - (AUB). Suppose P(A) = 0.8, P(B) = 0.2, and P(An B) = 0.1. Find each of the following. (a) P(AUB) (b) P(C) (c) PAS (d) PLAC BC) (e) PLACUBS (1) P(BCnc)