A factory received a shipment of 43 lightbulbs, and the vendor who sold the items knows there are 8 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 8 lightbulbs is selected, find the probability that all in the sample are defective. :1 If a sample of 8 lightbulbs is selected, find the probability that none in the sample are defective. [: Question Help: 3 Video E Message instructor 0 Question 15 80/1 pt 0 3 8 99 A factory received a shipment of 11 compressors, and the vendor who sold the items knows there are 2 compressors in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the compressors in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places. (a) If a sample of 2 compressors is selected, find the probability that all in the sample are defective. :] (b) If a sample of Z compressors is selected, find the probability that none in the sample are defective. :1 Question Help: l3 Video lg Written Example 8 Message instructor 0 Question 16 80/1 pt 0 3 8 99 0 Question 14 80/1 pt '0 3 3 99 A special deck of cards has 9 green cards , 13 blue cards , and 5 red cards . When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin. a. How many elements are there in the sample space? b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss. P(A) = Round your answer to 4 decimal places. c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Yes, they are Mutually Exclusive No, they are not Mutually Exclusive do Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive? Yes, they are Mutually Exclusive No, they are not Mutually Exclusive Hint: Mutually Exclusive Video on Probability [+] Question Help: 8 Message instructor 0 Question 17 8 0/1 pt '0 3 3 99 Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following: (i) 31% of all Dalmatians have blue eyes. (ii) 38% of all Dalmatians are deaf, (iii) 42% of blue-eyed Dalmatians are deaf. What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf? ,31 " .38= .1178 ,31'.42 = .1302 .38 " .42 = .1596 .31/.38=.8158 .31 / .42 = .7381 .38/ .42 = .9048 . Question 18 80/1 pt '0 3 Z 99 Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 3 18 1 1 32 Female 1 5 7 20 42 Total 18 25 31 74 If one student was chosen at random, determine the following probabilities, Write your answers as reduced fractions. 'P' (Student was male) = 'P' (Student was female) = C] 'P' (Student was male and got an "A") = :J 'P' (Student was female and got a "B") = :J 'P' (Student got a "C") = C] Question Help: :1 Video 8 Message instructor 0 Question 19 E 0/1 pt '0 3 399 According to Masterfoods, the company that manufactures M&M's, 1Z% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round all answers to 3 places after the decimal point, if necessary.) (a) Compute the probability that a randomly selected peanut MM is not blue. (b) Compute the probability that a randomly selected peanut MEtM is red or blue, (c) Compute the probability that three randomly selected peanut M&M's are all blue. (d) If you randomly select six peanut M&M's, compute that probability that none of them are red. (e) If you randomly select six peanut M&M's, compute that probability that at least one of them is red. 0 Question 20 8 0/1 pt '0 3 Z 99 Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 16 4 18 38 Female 15 11 17 43 Total 31 15 35 81 If one student was chosen at random, determine the following probabilities. Write your answers as reduced fractions. 'P' (Student was male) = 'P' (Student was female) = C] 'P' (Student was male and got an "A") = C] 'P' (Student was female and got a "3") = :J 'P' (Student got a "C") = [:] Question Help: El Video 8 Message instructor 0 Question 21 8 0/1 pt '0 3 8 99 A test was given to a group of students. The grades and gender are summarized below A B C Total Male 6 4 1 7 27 Female 1 3 7 5 25 Total 1 9 1 1 22 52 If one student is chosen at random from those who took the test, find the probability that the student got a 'a 'C" GIVEN they are male, Write your answer as a reduced fraction. Question Help: 3 Video 8 Message instructor 0 Question 22 E 0/1 pt '0 3 :3 99