2. Consider a decision maker with utility function:u (w) = a - Be r", a, 3,r > 0where w denotes the total wealth of the decision maker. Suppose she canaccept or reject a lottery. If she rejects the lottery she keeps a certainwealth level wo. If she accepts the lottery she gains or loses the randomamount e which is distributed according to a density function f (e) andher total (random) wealth is wo +e. Does the decision to accept or rejectthe lottery depend on her initial wealth wo?(a) No(b) Yes(c) Uncertain(d) Cannot be inferred from the given information.

The total Wealth is given to be equal to w0+∈ Where w0 is the initial wealth and ∈ is the…

Answered: her total (random) wealth is wo +e.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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If two events A and B area such that P(A)=0.3, P(B) = 0.4 and P(AB)=0.5 then P(B|AUB))= (a) 1/ 1225 (c) 2 (b) 1 (d) 1314
It doesn’t show the last parts (e) P(N or M) Are the events N= no reaction and M= mild reaction mutually exclusive? Explain. Yes. P(N and M) = 0. Yes P(N or M) = 0. No. P(N or M) ≠ 0. No. P(N or M) ≠ 0. (f) Are the events N = no reaction and W= washing oil off within 5 minutes independent? Explain. Yes P(N and W) = P(N) • P(W). No. P(N and W) ≠ P(N) • P(W). Yes. P(N and W) ≠ P(N) • P(W). No. P(N and W) = P(N) • P(W).
Suppose the probability of winning the Powerball lottery is 0.1, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted? (A) 0.06 (B) 0.54 (C) 0.04 (D) 0.6 (E) 0 (F) 0.1 (G) 1 (H) 0.36
Two fair dice are rolled at the same time and the number of dots appearing on both dice is counted. (i). Make a table to represent the sample space for this pair of dice (I)Find the probability that the sum is 7 (ii). Find the probability that the sum is an odd number larger than 6 (iii) Find the probability that the sum is less than 2 (iv). Find the probability that the sum is more than 12 (v). Find the probability that the sum is between 2 and 12 inclusive.
Two events, A and B, are such that P(AUB) = 0.86, P (B) = 0.72 and P(A) = 0.64 Determine i) P ( AnB) ii) P (AlB) iii) P ( A UB)'
Example 46. In a single throw with 2 dice find the chance of throwing (i) 8 (ii) 11.
Student answers choosing randomly YES or NO. To pass the exam he must answer correctly for at least 2/3 of all questions. What is his chance if there are: (a) 6 , (b) 9 , (c) 12 questions in the test?[Ans.0, 3437; 0, 2519; 0, 1909 ]
- The probability of a man hitting a target is 13 332-6 grupist Tontificede (i) If he fires 5 times, what is the probability of his hitting the target at least twice? (ii) How many times must he fire so that the probability of his hitting the target at least once is more than 90% ?
Show that the multiplication law P(AnB) = P(A/B) P(B), established for two events, may be generalized to three events as follows; P(AOBOC) =P(A/BC) P(B/C) P(C) %3D
67% 3 / 4 4. Find P(A) 12 (c) P(A) 1 () P(A)-7 5 13 (a) P(4) (b) P(A)- 17 17 5. Find P(AC B) () P(A\B)= 12 (a) P(AnB)= 17 (b) P(Ar B) = 17 (6) P(Ar B)= 17 6. Find P(AUB) (3) P{AJB) = (h) P(AB)= (e) P(AUB}= 12 (d) P(AUB)= 7. Find P(AC B) 10 13 17
Is my solution to my problem correct? If not explain where I went wrong.
Suppose that events A and B are mutually exclusive with P(A) = 1 2 and P(B) = 1 6 . (Enter your answers as fractions.) (a) Are A and B independent events? Explain how you know. Since the events are mutually exclusive we know P(A|B) = which P(A) and thus the events are . (b) Are A and B complementary events? Explain how you know. We know that P(A) + P(B) = . And, since P(A) + P(B) 1, the events A and B complementary events.

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her total (random) wealth is wo +e. Does the decision to accept or reject the lottery depend on her initial wealth wo? (a) No (b) Yes (c) Uncertain (d) Cannot be inferred from the given information.