1 12-61. A speaks the truth 2 out of 3 times and B 4 out of 5 times: they agree in the assertion that from a bag containing 6 balls of different colours, a black ball has been drawn. Find the probability that the statement is true.,
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- 2.5 Question#03 Please provide detailed solution with explanation and justification asap to get a upvote for Question#03a 82. A speaks the truth two out of three times and B four times out of 5 times. They agree in tie assertion that from a bag containing 6 balls of different colours a red ball is drawn. Find the probability that the statement is true.2.5 Please provide detailed solution with explanation and justification asap to get a upvote for Each part please
- 2.5 Question#02 Please provide detailed solution with explanation and justification asap to get a upvote for Question#02d) Find P(Rents | Cat)e) Is the probability of renting an apartment independent of having a dog? Show the work that led to your answerPlease help with B, C, and D! Ans b) 10/13 c) 5/26 d) 5/13
- Your team has uniform numbers 1 to 25. What is the probability that your number is less than 9? P(less than 9)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 distributionI get to draw two buttons from a bag with 3 Cardinal and 6 Gold buttons (without replacement, order does not matter).What is the probability that I get one of each color? a. 1/2 b. 5/9 c. 4/9 d. 1/3 e. None of the other answers is correct.
- Consider the given statements below. r: I am a registered voter. v: I can vote in the election next year. If statement r is TRUE while statement v is FALSE, assess the truth value of the negation of the compound statement: "If I am not a registered voter, then I cannot vote in the election next year."Mustafiz has 95 balls which are labeled with the numbers from 1 to 95. He draws out a ball from the bag, records down the number and then puts it back in the bag. He does this a total of 3 times (hence has 3 numbers). Now answer the following questions. i. What is the probability that all the numbers are different? [Give your answer upto 4 decimal places] ii. What is the probability that at least 2 of the numbers are equal? (Give your answer upto 4 decimal places)Use Baye's Theorem in solving the problem. Don't solve if not Baye's Theorem. Show all solutions. A state senate has 120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are liberal and 30 are conservative. Of the republicans, 30 are conservative and 15 are liberal, A.) Given that a senator is democrat, what is the probability that he or she is a liberal? B.) Given that a senator is conservative, what is the probability that he or she is a republican?