Multiple Choice:When two events are mutually exclusive, it means thata) there is an intersection between the two eventsb) the probability of one event depends on theprobability of the otherc) the two events cannot occur at the same timed) the two events are equally likelyraIf P(A) = 0.4 and P(B) = 0.2, and A and B are mutuallyexclusive events, which one of the following statementsis true?a) P(A and B) = 0.6b) P(A or B) = 0.08c) P(A and B) = 0d) P(A or B) = 0.2a)%Dby

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Answered: Multiple Choice: When two events are…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the probability that both events occur is?
if the probablity of a n outcome A does NOT influence the probability of an outcome B then A and B are said to be
ack and Jill go fishing. The probability that Jack catches a fish is 0.4, the probability that Jill catches a fish is 0.5 and the probability that Jack and Jill each cat a fish is 0.2. Which of the statements (A/C) is/are true and what are the value of B and D? 1)The events "Jack catches a fish” and "Jill catches a fish” are mutually exclusive 2)The probability that at least one of them catches a fish is .................. 3)The events "jack catches a fish” and "Jill catches a fish” are independent 4)The probability that Jack catches a fish given that Jill caught a fish is ................
"Events AA and BB are mutually exclusive if they can not occur simultaneously." This statement is best represented in symbols by P(A∣B)=0P(A∣B)=0 A and B=0A and B=0 A given B=0A given B=0 P(A and B)=0
If A denotes some event, what does A denote? If P(A) = 0.002, what is the value of P(A)? What does A denote? O A. Event A is always unusual. O B. Event A denotes the complement of event A, meaning that A and A share some but not all outcomes. O C. Events A and Ā share all outcomes. O D. Event A denotes the complement of event A, meaning that A consists of all outcomes in which event A does not occur.
2. Suppose S = {1,2,3,4,5,6,7,8,9,10} and let A = {1,2,3,4,5}, B = {4,5,6,7,8}, and C = {7,9}. Find the following probabilities:
Ken is considering entering a local fishing tournament, but his choice to enter depends somewhat on whether his rival, Billy, will enter the same fishing tournament. Ken thinks that he has a 0.40 probability of winning the fishing tournament if Billy does not enter the tournament, and a 0.15 probability of winning if Billy does enter the fishing tournament. If the probability that Billy enters the fishing tournament is 0.30, a) find the probability that Ken wins the fishing tournament. b) If Ken does not win the fishing tournament, what is the probability that Billy did not enter the tournament?
1a) If P(A) = 0.22, P(B) = 0.55, and A and B are mutually exclusive, find P(A or B). b) Let A and B be events with P(A) = 0.5, P(B) = 0.8. Assume that A and B are independent. Find P(A and B). c) Let A and B be events with P(A) = 0.2, P(B) = 0.8, and P(B|A) = 0.3. Find P(A and B). Please this is a single question. Answer all parts, a-c.
Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.9, and by the second inspector with probability 0.7. Assume the inspectors function independently. a) If an item has a flaw, what is the probability that it will be found by both inspectors? b) If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors? c) Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it?
3. Two coins are tossed 700 times, and the results are Two heads: 205 times One head: 325 times No head: 170 times Find the probability of each event to occur? 4. If P(A)-7/13, P(B)-9/13 and P(ANB)-4/13, evaluate P(A/B)? 5. Two dice are rolled, find the probability that the sum of the number of both the dice is: A.Equal to 2 B.Equal to 5 C.Less than 12 6. Let X be the number of Tell in four tosses of a fair coin a) Construct the Probability mass function (pf) of X. b) Find the mean number of Tell and the variance c) Find P(0 2. (i)Determine the corresponding p.d.f. (f(x)). (ii) Determine the constant c. 8. If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value 9.Find the probability of getting at least 5 times head-on tossing an unbiased coin for 6 times by using the binomial distribution
Which of the following statements is false? Two independent events cannot occur at the same time. Two complementary events cannot occur at the same time. Two disjoint events cannot occur at the same time.

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