Multiplication and Total Probability Rules Problem 2.112 frotn textbook (6a edit
ID: 3329129 • Letter: M
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Multiplication and Total Probability Rules Problem 2.112 frotn textbook (6a edition): (10pts) outside factors (15% caused by Heart failures are due to either natural occurrences(5593ral occurrences (15%). Outside factors are related to induced substances (73%) or foreign objects ( (56%), disease (27%), and infection leg, staph infectio nduce substance. (a) Deterinine the probability that a failure is due to an (b) Determine the probability that a failure is due to disease or in infection( coects (27%). Natural occurrences are caused by arena ) ( 1796). Problem 2.113 from textbook (oth edition): (10pts) A batch of 30 injection-molded 6 parts selected is a) If two parts are selected at random, and without seplacement, what is parts contains 6 parts that have suffered excessive shrinkage. the probability that the second part one with excessive shrinkage? If three parts are selected at random, and without one with excessive shrinkage? b) replacement, what is the probabälity that the third part selected is Problem #4 (15pts) A firm has ordered a batch of identical distribution: that from 0% supplier l, 20% supplier 2.35% electronic device from 4 different suppliers with the following 8% of supplier 1 items, 6% of supplier 2 iserns, 4% of supplier 3 items, supplier 3, and 15% supplier 4. The historical data shows defective What is the probability that a randomly selected If device is coming from supplier 3 and is defective? 1- 2- an item is selected randomly from the batch, what is the probability that defective? the selected item is 3. If an item is selected at random and it is defective, what is the probability that it supplier 3? Problem#5: The Birthday Problem (10pts) In your classroom there are 45 students, assume that none of them is born on February 29, and hence consider only common years (365 days) [do not consider leap years) 1- Take a student randomly from the class, what is the probability that he have the same birthday as yours? 2. What is the probability that there is at least one student in the class having the same birthday as yours? 3-What is the probability that there is no repeated birthday date in the class (all the 45 birthdays being different)? Comment on the value you found 4. The instructor decides to nominate 5 students randomly to deliver a presentation next class, How many groups (of five students) are possible? What is the probability that you are among the selected students? Problem#6 ( 10pts) A Web ad can be designed from three different colors, three font types, three font sizes, three images, and five text phrases. A specific design is randomly generat visit the site. Let A denote the event that the design color is red, and let B font size is not the smallest one. Use the addition rules to calculate the following probabilities that P(A)-13, P(B) = 23, ed by the Web server when you denote the event that the (a) PAuB) (b) PAUB) (c) PAuB)Explanation / Answer
P(induced substance ) = 0.73*0.15 = 0.1095
P(disease or infection) = 0.44*0.15 = 0.066
PS: We are directed to solve only 1st question if multiple questions are posted
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