consider Question 8 (0.1 points) Consider any two events A and B, such that P(A) =...
(4 points) For each problem, select the best response. (a) For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.4. If you had measured tail length in centimeters instead of millimeters, what would be the correlation? (There are 10 millimeters in a centimeter.) A. 0.4 B. 0.4/10 = 0.04 C. (0.4)(10) = 4 D. None of the above. (b) A study found a...
lamous Inalol Ted Bundy), c = 1.85 and d = 11./! 2. points) Consider three events A, B and C. Further, A and C are independent and B and Care independent. A and B are ME. PLAUC) = 1, P[BUC] = and P AUBUC] = Compute P[4), PB and PC. 3. (5 points) There are 25 men and 15 women in a group. A committee of 7 people will be chosen. In
4. Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0,4 (a) Can events A and B be mutually exclusive? Explain. | (b) If P(A and B) = 0.2, compute P(A or B). 3. Basic Computation: Multiplication Rule Given P(A) = 0.2 and P(B) = 0.4: (a) If A and B are independent events, compute P(A and B). (b) If P(AIB) = 0.1, compute P(A and B). 6. Basic Computation: Multiplicat (a) If A and B, are independent...
Consider two independent events, A and B, where 0くP(A) < 1,0くP(8)く1. Prove that A' and B' are independent as well.
1. Consider two independent events, A and B, where 0< P(A) <1,0< P(B)< 1. Prove that A and B' are independent as well.
Bonus (5 points) True or False: Consider a monopolist which produces two interrelated goods A and B with QA(PA, PB) and QB(PA, Pa) where Q is the demand and P is the price. If dA-0, the firm could charge the same price as a monopolist in market A which produces only good A. Explain your answer. (Answers without correct explanation will receive 0 credit.) Bonus (5 points) True or False: Consider a monopolist which produces two interrelated goods A and...
Consider two events A and B. It is known that P(A) = 0.1, P(B|A) = 0.1 and P(B|AC) = 0.4. Calculate the following. Enter your answers to at least four decimal places accuracy. (a) P(AC) = 3 (b) P(B) = 3 (c) P(ANB) = 3 (d) P(A|B) = 3
Consider the following probabilities: P(AC) 0.57, PB = 0.36, and P(A n B) 0.03 a. Find P(A | BC). (Do not round intermediate calculations. Round your answer to 2 decimal places.) P(A | BC) b. Find P(BC | A). (Do not round intermediate calculations. Round your answer to 3 decimal places.) P(BC A) c. Are A and B independent events? Yes because PAI B = PA) Yes because PAN B)0 No because P(A I B)PA). No because PAN B)0
any help with these problems? 0 2 pts ect Question 13 The addition rule for probability P(A U B) for: p(A) + P(B)-PA n В) is used finding the probability that A happens, then B happens. hinding the probability that A doesn't happen, but B does happen. finding the probability that A or B or both happen 9 inding the probability that A and B both happen Quiz Score: 5.8 out of Question 12 0/ 2 pts The multiplication rule...
Consider two events A and B. It is known that P(A) = 0.5 and P(B) = 0.9. As well, it is known that A and B are independent. Calculate the following to two decimal places. (a) Calculate the probability of A AND B. (b) Calculate the probability of A OR B. Ž