Question # 2If P(B) = 0.05, P(A|B) = 0.70 and P(A|Bº) = 0.30, find P(B|A).Question # 3Two fair dice are thrown.i. Given that a total score of al least 10 is obtained, what is the probabilityof at least one six occurring?ii. Consider the absolute difference, D, between the scores of the two dice.Provide the probability distribution of D.

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Answered: Question # 2 If P(B) 3D 0.05, Р(A|В) —…

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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Q-3 If P(A) = 0.2, P(B) = 0.3, and P(A n B) = 0.1, determine the following probabilities: c. P(A' n B) a. P(A' U B) d. P(A n B') b. P(A U B) е. PI(A U B)]
I am pulling one red ball out of one of three baskets. R= Red ball, B= Basket The chance I pull from the three baskets are the same. P(B1)=P(B2)=P(B3)= 0.33 The probability of pulling a red ball from each basket is given: P(RlB1)= 0.75, P(RlB2)= 0.6, P(RlB3)= 0.45 How do I find the probability of choosing a red ball?
A class contains 40 students. The probability of failing in one of the courses for each student is 0.03, but there is no chance to fail in more than one course. You know that a student failed in a course, the probability that the fail reason in non-attendance is 0.04. All other fail reasons are low average. The examinations are private, so the results are mutually independent. Let X and Y be the numbers of failed students due to non-attendance and due to low average, respectively, in that class this semester. Find the joint MGF
QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
A student in this class is writing two midterms in math this week. The probability that she will pass MAT 2371 is 0.7, and the probability that she will pass MAT 2125 is 0.7. If the result on the two exams are independent, what is the probability that she will fail at least one the two exams? 0.56 0.44 0.54 0.46 0.51
Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.
Assume that n 16, and p = 9/10. Find the probability of at least 2 successes and at least 3 failures.
Suppose that you roll several ordinary six-sided dice, choose two of those dice at random, and average the two numbers. Suppose the average of these two dice is 3.5. How would you express the 3.5 in statistical notation?
Q. 2 The probability that a smoker who consumes over 20 cigarettes a day will suffer from chronic respiratory illness is 4 The 10 probability that he will suffer from heart disease is The 10 probability that he will suffer from at least one of these ailments is 6.5 10 (i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease. (iv) Are events "chronic respiratory illness" and "heart disease independent"?
Ken has applied to both FSU and the UGA. He thinks the probability that FSU will admit him is 0.4, the probability that UGA will admit him is 0.5, and the probability that both will admit him is 0.1. What is the probability that Ken will not get into either school?
Two bags of crayons contain an assortment of different colours. The probability of randomly selecting a red crayon from the first bag is 4/5. The probability of randomly selecting a red crayon from the first bag and a blue crayon from the second bag is 0.36. The probability, to the nearest hundredth, of selecting a blue crayon from the second bag is:
Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.

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