MATH302 D003 Winter 2024 - APEI

3/23/24, 12:00 PM Jaylen Quintana - MATH302 D003 Winter 2024 - APEI https://myclassroom.apus.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=286343&ai=3232167&isInPopup=0&cfql=0&fromQB=0… 1/9 Week 3 Knowledge Check Homework Practice Questio… Attempt 1 of 4 Written Mar 23, 2024 12:56 PM - Mar 23, 2024 1:53 PM Attempt Score 18 / 20 - 90 % Overall Grade (Highest Attempt) 18 / 20 - 90 % Question 1 1 / 1 point ___ 9___ Hide ques±on 1 feedback Question 2 1 / 1 point ___ 7.5___ Hide ques±on 2 feedback Question 3 0 / 1 point If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer: 15*.6 A coin is flipped 30 times. Find σ ². Round to 1 decimal place. Answer: 30*.5*.5

3/23/24, 12:00 PM Jaylen Quintana - MATH302 D003 Winter 2024 - APEI https://myclassroom.apus.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=286343&ai=3232167&isInPopup=0&cfql=0&fromQB=0… 2/9 ___ 0.6562___ (0.6563, .6563) Hide ques±on 3 feedback Question 4 1 / 1 point ___ 4___ Hide ques±on 4 feedback Question 5 1 / 1 point ___ 0.9936___ Hide ques±on 5 feedback It is known that 50% of adult workers have a high school diploma. If a random sample of 6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma? (That is, find P(X ≤ 3) (round to 4 decimal places) Answer: 3) (round to 4 decimal places) Answer: P(X ≥ 3) = 1 - P(x ≤ 2), in Excel =1-BINOM.DIST(2,6,0.5,TRUE) It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the expected number of adult workers with a high school diploma? (That is, what is E(X)?) Round to the whole number. Do not use decimals. Answer: 10*.4 If random variable X has a binomial distribution with n =10 and P(success) =p =0.2, find the probability that X is less than 6. (That is, find P(X<6) Answer: (round to 4 decimal places) P(x < 6) = P(x ≤ 5) , in Excel =BINOM.DIST(5,10,0.2,TRUE)

3/23/24, 12:00 PM Jaylen Quintana - MATH302 D003 Winter 2024 - APEI https://myclassroom.apus.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=286343&ai=3232167&isInPopup=0&cfql=0&fromQB=0… 4/9 Question 8 1 / 1 point ___ 0.1944___ Hide ques±on 8 feedback Question 9 1 / 1 point ___ 8000000___ Hide ques±on 9 feedback Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places. Answer: Dice outcomes 1 2 3 4 5 6 1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) 2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) 4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) 6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) Only 7 ways to sum to exactly 7 or exactly 12 7/36 How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1? Do not use commas in your answer. Answer: First number has 8 different choice then the last 6 numbers can be any number. 8 * 10 6

3/23/24, 12:00 PM Jaylen Quintana - MATH302 D003 Winter 2024 - APEI https://myclassroom.apus.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=286343&ai=3232167&isInPopup=0&cfql=0&fromQB=0… 5/9 Question 10 1 / 1 point Is the following table a valid discrete probability distribution? x -5 -2.5 0 2.5 5 P(X = x ) 0.15 0.25 0.32 0.18 0.1 Question 11 0 / 1 point ___ 0.48___ (0.45, .45) Hide ques±on 11 feedback Question 12 1 / 1 point No, since the probabilities do not add up to 1. Yes, since all the x values add up to 0. Yes, since all the probabilities are between 0 and 1 and the probabilities add up to one. No, since not all the values are between 0 and 1. Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage. Number of Courses , x 1 2 3 Probability, P ( X = x ) 55% 28% 17% What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2 ) Answer: (round to 2 decimal places) .28 + . 17 Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage.

3/23/24, 12:00 PM Jaylen Quintana - MATH302 D003 Winter 2024 - APEI https://myclassroom.apus.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=286343&ai=3232167&isInPopup=0&cfql=0&fromQB=0… 7/9 ___ 0.8774___ Hide ques±on 14 feedback Question 15 1 / 1 point ___ 0.7680___ Hide ques±on 15 feedback Question 16 1 / 1 point ___ 0.0521___ Hide ques±on 16 feedback accidents at this intersection. (That is, find P(X≤9) (round to 4 decimal places) Answer: In Excel, =POISSON.DIST(9,6.5,TRUE) A bank gets an average of 11 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 9 or more customers at this bank in one hour. (That is, find P(X ≥ 9)) (round to 4 decimal places) Answer: P(X≥9) = 1 - P(x ≤ 8), in Excel =1-POISSON.DIST(8,11,TRUE) A coffee shop serves an average of 72 customers per hour during the morning rush. Find the probability that less than 59 customers arrive in an hour during tomorrow's morning rush. Round answer to 4 decimal places. Answer: P(x < 59) = P(x ≤ 58), In Excel =POISSON.DIST(58,72,TRUE)

3/23/24, 12:00 PM Jaylen Quintana - MATH302 D003 Winter 2024 - APEI https://myclassroom.apus.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=286343&ai=3232167&isInPopup=0&cfql=0&fromQB=0… 8/9 Question 17 1 / 1 point ___ 0.0379___ Hide ques±on 17 feedback Question 18 1 / 1 point ___ 0.7851___ Hide ques±on 18 feedback Question 19 1 / 1 point If two events are independent, what is the probability that they both occur? A coffee shop serves an average of 75 customers per hour during the morning rush. Find the probability that 80 customers arrive in an hour during tomorrow's morning rush. Round answer to 4 decimal places. Answer: P(x = 80), in Excel =POISSON.DIST(80,75,FALSE) There are 4 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be 5 or less accidents at this intersection. (That is, find P(X ≤ 5)) (round to 4 decimal places) Answer: In Excel, =POISSON.DIST(5,4,TRUE) 0.0 0.5 1.00 Cannot be determined from the information given.