Questions 1-10 Math 132

Question 1 3 pts According to a survey 30% of US. households own a baseball. Suppose you ask 8 randomly chosen US. households whether they own a baseball. Assuming that the data follow a binomial probability model, what is the probability that exactly 4 of them say that they own a baseball? (Round off your answer to four decimal places and select the best option below). 0 0.0026 0 0.2894 0 0.5109 0 0.3041 0 0.3997 0 The correct answer is not listed 0 0.1361 0 0.4605 Question 2 3 pts The U5. Olympic Rowing coach has been given a list of 12 individuals to form the USA Men's Eight Rowing team, which should have 8 members on it. How many different teams of 8 may be selected from the list of individuals? 0 290 O The correct answer is not listed 0 603 O 506 O 495 O 178 O 380 O 312 Question 3 3 pts A group of 9 dancers are to perform on \"So You Think You Can Dance" TV show. The dancers request a mix of orange and red dance clothes. The production manager brings out 7 orange and 8 red dance clothes and randomly distributes them to the performers. What is the probability that 4 dancers end up with orange dance clothes while the rest receive red ones? (if necessary, round off your nal answer to four decimal places and select the best option below). 0 0.2166 0 Correct answer is not listed 0 0.4491 0 0.4083 0 0.2888 0 0.1974 0 0.3916 0 0.5623 Question 4 3 pts A company makes electronic gadgets. One out of every 20 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. Suppose the company makes a $8 prot on the sale of any working gadget, but suffers a loss of $200 for every faulty gadget because they have to repair the unit. What is the expected prot or loss for every batch of 20 gadgets sold? (Round your nal answer to two decimal places and select the most accurate option from below). 0 An expected prot of $7.14 0 An expected loss of $2.40 0 An expected loss of $3.85 0 An expected prot of $1.95 0 An expected loss of $12.48 0 The correct answer is not listed 0 An expected prot of $5.10 0 An expected loss of $6.52 Question 5 3 pts Find the slope-intercept form of the equation of the line passing through the points (3, -2) and (4, 8). O y=4x-17 O y=8x-1 O y= -5x+8 O y=10x+3 O y=5x+17 O y= 10x-32 O Correct answer is not listed O y=x-32Question 6 3 pts Gia would like to place three tattoos on her body. She would like to have a tattoo on her right forearm, one right above her knee, and one on her back right below her neck. She walks into a tattoo parlor and asks the tattoo artist to show her any tattoo patterns that have angel, cupid, or skull in them. The tattoo artist shows her a collection of 23 such patterns. In how many different ways can Gia tattoo her body with three of these patterns, given that the position of the tattoo on her body matters? 0 6,579 0 Correct answer is not listed 0 9,810 0 12,039 0 14,080 0 1,717 0 5,600 0 10,626 Question 7 3 pts Given that the events E and F are mutually exclusive, and P (E U F) = 0.82, and P (F) = 0.26 , calculate the odds against E. O 17 to 16 O 15 to 33 O 46 to 27 O 12 to 9 O l1 to 14 O 13 to 27 O Correct answer is not listed O 12 to 8Question 8 3 pts Given that the events E and F are independent from each other, and P (F) = 0.21 , and P(En F) = 0.0756, find the odds against E. O 5 to 3 0 9 to 3 O Correct answer is not listed O 15 to 11 O 12 to 15 O 3 to 9 O 19 to 14 O 16 to 9Question 9 3 pts Events A1 and A2 are mutually exclusive and form a complete partition of a sample space S with P(Al) = 0.25 , and P (A2) = 0.75. If event E is an event in S with P(E | A1) = 0.28 and P(E | A2) = 0.34 ,using Bayes\" theorem compute P(Al | E) z? { Round your nal answer to four decimal places and select the best option from below). 0 0.1232 0 0.8322 0 0.4566 0 0.7644 0 0.5538 0 Correct answer is not listed 0 0.3081 0 0.2154 Question 10 3 pts Compute the product of the following two matrices: 4 -2 4 - 2 1 =? 6 W O -27 35 - 32 2 O -27 3 O 26 3 24 11 10 O 29 13 -24 11 O 10 0 -6 14 21 6 9 -15 -29 O 49 -15 - 19 9 10 8 15 13 3 - 5 O The correct answer is not listed