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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Fifty percent of the smartphones sold in a store are from China, 40% from Korea and 10% from US. Seventy percent of all the phones from China sold are below RM2500, 40% of all the phones from Korea sold are below RM2500, while only 20% of all the phones from US sold are below RM2500. A smartphone sold is selected at random. QI. (a) (i) If the selected smartphone is sold below RM2500, find the probability that the smartphone is from China. (ii) If the selected smartphone sold is not from Korea, find the probability that the phone is sold below RM2500. (iii) Assume that the shop makes a profit of RM1000 per month from the smartphones sold below RM2500, and a profit of RM2000 per month from the smartphones sold at or above RM2500. Find the expectation and variance of the profit made per month.
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 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% ?
which expressions correctly describes the experimental probability, P(B), where n(B) is the number of times event B occurred and n(T) is the total number of trials, T, in the experiment? a) P(B) = n(B) x n(T) b) P(B) = n(N) + n(T) c) P(B) = n(T)/n(B) d) P(B) = n(B)/n(T)
Suppose you physically simulate the random process of rolling a single die. (a) After 10 rolls of the die, you observe a "one" 2 times. What proportion of the rolls resulted in a "one"? (b) After 20 rolls of the die, you observe a "one" 4 times. What proportion of the rolls resulted in a "one"? (a) The proportion was (Simplify your answer. Do not round.) (b) The proportion was (Simplify your answer. Do not round.)
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
If A and B are events with P(A U B)) = /8, P(ANB)= 4 P(A) is equal to: (a) 1/8 (b) 2/8 (c) 3/8 (d) 4/8

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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.