EXAM CHEATSHIT FAMILIER QUESTIONS AND ANSWERS SOLVED WORKING SOLUTION 2020

EXAM CHEATSHIT FAMILIER QUESTIONS AND ANSWERS SOLVED WORKING SOLUTION 2020 Question 1 of 20 0.0/ 1.0 Points If random variable X has a binomial distribution with n =10 and P(success) = p =0.6, find the probability ...

EXAM CHEATSHIT FAMILIER QUESTIONS AND ANSWERS SOLVED WORKING SOLUTION 2020 Question 1 of 20 0.0/ 1.0 Points If random variable X has a binomial distribution with n =10 and P(success) = p =0.6, find the probability that X is more than 3. (That is, find P(X>3) (round to 4 decimal places) Question 2 of 20 1.0/ 1.0 Points 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) Question 3 of 20 0.0/ 1.0 Points 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) . Question 4 of 20 0.0/ 1.0 Points Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that at most 2 of them have blue eyes? Round answer to 4 decimal places. Question 5 of 20 1.0/ 1.0 Points Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X = 15) using Excel. Round answer to 4 decimal places. Part 2 of 6 - Contingency Table Knowledge Check Practice 1.0/ 1.0 Points Question 6 of 20 1.0/ 1.0 Points The table shows a random sample of musicians and how they learned to play their instruments. Gender Self-Taught Studied in School Private Instruction Total Female 12 38 22 72 Male 19 24 15 58 Total 31 62 37 130 Find P(musician is a male AND had studied in School). • A. 0.71 • B. 0.12 • C. 0.88 • D. 0.18 Part 3 of 6 - Counting Principle Knowledge Check Practice 1.0/ 3.0 Points Question 7 of 20 0.0/ 1.0 Points 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. Question 8 of 20 1.0/ 1.0 Points There are 4 answers for a single question on the exam and only one answer is correct. If a student guesses the answer for this question, what is the probability that the student selects the correct answer? (round to 2 decimal places) Question 9 of 20 0.0/ 1.0 Points A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there? • A. 60949324800 • B. 670442572800 • C. 362880 • D. 7257600 Part 4 of 6 - Discrete Probability Knowledge Check Practice 3.0/ 4.0 Points Question 10 of 20 1.0/ 1.0 Points Does the following table represent a valid discrete probability distribution? x -5 -2.5 0 2.5 5 P(X=x) 0.05 0.25 0.32 0.18 0.2 • A. yes • B. no Question 11 of 20 1.0/ 1.0 Points 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) Question 12 of 20 1.0/ 1.0 Points The random variable X = the number of vehicles owned. Find the P(X > 2). Round to two decimal places. x 0 1 2 3 4 P(X=x) 0.1 0.35 0.25 0.2 0.1 Question 13 of 20 0.0/ 1.0 Points The random variable X = the number of vehicles owned. Find the expected number of vehicles owned. Round answer to two decimal places. Number of Courses , x 0 1 2 3 4 Probability, P(X=x) 0.2 0.35 0.25 0.1 0.1 Part 5 of 6 - Poisson Distribution Knowledge Check Practice 0.0/ 5.0 Points Question 14 of 20 0.0/ 1.0 Points There are on average 5 old growth Sitka Spruce trees per 1/8 of an acre in a local forest. Find the probability that that there are exactly 30 Sitka Spruce trees in 1 acre in a remote part of the forest that is scheduled to be logged next year. Round answer to 4 decimal places. Answer: Answer Key:0.0185|.0185 Feedback: New mean per 1 acre = 5*8= 40. P(x = 30), in Excel =POISSON.DIST(30,40,FALSE) Question 15 of 20 0.0/ 1.0 Points If random variable X has a Poisson distribution with mean = 4.5, find the probability that X is more than 8. (That is, find P(X>8) (round to 4 decimal places) Answer: Answer Key:0.0403|.0403 Feedback: P(x > 8) = 1 - P(x 8), in Excel =1-POISSON.DIST(8,4.5,TRUE) Question 16 of 20 0.0/ 1.0 Points If random variable X has a Poisson distribution with mean = 7, find the probability that X is more than 8. (That is, find P(X>8) (round to 4 decimal places) Answer: Question 17 of 20 0.0/ 1.0 Points Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance. Assume the variable follows a Poisson distribution. What is the probability that the company will receive more than 20 calls per hour? Round answer to 4 decimal places. Question 18 of 20 0.0/ 1.0 Points 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. Part 6 of 6 - Probability Knowledge Check Practice 1.0/ 2.0 Points Question 19 of 20 1.0/ 1.0 Points Which of the following statements are true? • A. Probabilities must be negative. • B. Probabilities can either be positive or negative. • C. Probabilities must be nonnegative. • D. Probabilities can be any positive value. Question 20 of 20 0.0/ 1.0 Points A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(N). • A. 0.13 • B. 0.12 • C. 0.36 • D. 0.24 Question 1 of 20 1.0/ 1.0 Points Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that at most 2 of them have blue eyes? Round answer to 4 decimal places. Question 2 of 20 1.0/ 1.0 Points A coin is flipped 30 times. Find σ². Round to 1 decimal place. Question 3 of 20 1.0/ 1.0 Points If random variable X has a binomial distribution with n =10 and P(success) = p =0.6, find the probability that X is more than 3. (That is, find P(X>3) (round to 4 decimal places) Question 4 of 20 1.0/ 1.0 Points Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X = 15) using Excel. Round answer to 4 decimal places. Question 5 of 20 1.0/ 1.0 Points Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. Part 2 of 6 - Contingency Table Knowledge Check Practice 1.0/ 1.0 Points Question 6 of 20 1.0/ 1.0 Points The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected. NAME Single Double Triple Home Run TOTAL HITS Babe Ruth 1,517 506 136 714 2,873 Jackie Robinson 1,054 273 54 137 1,518 Ty Cobb 3,603 174 295 114 4,189 Hank Aaron 2,294 624 98 755 3,771 TOTALS 8,468 1,577 583 1,720 12,351 Find P(hit was made by Hank Arron|The hit was a Single). • A. 0.729 • B. 0.033 • C. 0.066 • D. 0.271 Part 3 of 6 - Counting Principle Knowledge Check Practice 2.0/ 3.0 Points Question 7 of 20 1.0/ 1.0 Points Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places. Question 8 of 20 1.0/ 1.0 Points 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. Question 9 of 20 0.0/ 1.0 Points In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. Find the probability of winning if you pick the number 30 and it comes up on the wheel. Round your answer to 3 decimal places. Part 4 of 6 - Discrete Probability Knowledge Check Practice 4.0/ 4.0 Points Question 10 of 20 1.0/ 1.0 Points Does the following table represent a valid discrete probability distribution? x -5 -2.5 0 2.5 5 P(X=x) 0.05 0.25 0.32 0.18 0.2 • A. yes • B. no Question 11 of 20 1.0/ 1.0 Points Does the following table represent a valid discrete probability distribution? x 1 2 3 4 5 P(X=x) 0.11 0.06 0.25 0.41 0.51 • A. yes • B. no Question 12 of 20 1.0/ 1.0 Points 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) Question 13 of 20 1.0/ 1.0 Points The random variable X = the number of vehicles owned. Find the probability that a person owns less than 2 vehicles. Round to two decimal places. x 0 1 2 3 4 P(X=x) 0.1 0.35 0.25 0.2 0.1 Part 5 of 6 - Poisson Distribution Knowledge Check Practice 3.0/ 5.0 Points Question 14 of 20 0.0/ 1.0 Points A bank gets an average of 8 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 11 customers at this bank in one hour. (That is, find P(X=11) (Round answer to 4 decimal places) Question 15 of 20 1.0/ 1.0 Points 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. Question 16 of 20 0.0/ 1.0 Points A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 10 or more customers at this bank in one hour. (That is, find P(X≥10) (round to 4 decimal places) Question 17 of 20 1.0/ 1.0 Points The mean number of visitors at a national park in one weekend is 47. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 55 visitors at this park in one weekend. (That is, find P(X ≤ 55)) (round to 4 decimal places) Question 18 of 20 1.0/ 1.0 Points 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) Part 6 of 6 - Probability Knowledge Check Practice 2.0/ 2.0 Points Question 19 of 20 1.0/ 1.0 Points What type of probability uses sample spaces to determine the numerical probability that an event will occur? • A. classical probability • B. subjective probability • C. empirical probability • D. conditional probability Question 20 of 20 1.0/ 1.0 Points Three cards are drawn from a deck without replacement. What is the probability that all three cards are clubs? • A. 0.0145 • B. 0.2575 • C. 0.0156 • D. 0.0129