Maths test solution questions and answers docs 2019-2020 working solution docs

Maths test solution questions and answers docs 2019-2020 working solution docs 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, f ...

Maths test solution questions and answers docs 2019-2020 working solution docs 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 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 5 adult workers is selected, what is the probability that more than 3 of them have a high school diploma? (That is, what is P(X>3) (round to 4 decimal places) 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 Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the expected number of left-handed people? Round to the whole number. Do not use decimals. Question 5 of 20 0.0/ 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 0.0/ 1.0 Points Question 6 of 20 0.0/ 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. 0.066 • B. 0.033 • C. 0.271 • D. 0.729 Part 3 of 6 - Counting Principle Knowledge Check Practice 2.0/ 3.0 Points Question 7 of 20 1.0/ 1.0 Points A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there? Answer: • A. 60949324800 • B. 670442572800 • C. 362880 • D. 7257600 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 The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible? Do not use commas in your answer. Part 4 of 6 - Discrete Probability Knowledge Check Practice 3.0/ 4.0 Points Question 10 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 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 0.0/ 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 Question 13 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 Part 5 of 6 - Poisson Distribution Knowledge Check Practice 2.0/ 5.0 Points Question 14 of 20 1.0/ 1.0 Points A bank gets an average of 15 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 11 or more customers at this bank in one hour. (That is, find P(X ≥ 11) (round to 4 decimal places) Question 15 of 20 1.0/ 1.0 Points There are 6.5 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be 9 or less accidents at this intersection. (That is, find P(X≤9) (round to 4 decimal places) Question 16 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 17 of 20 0.0/ 1.0 Points The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with an average of 2.83 rescues every eight hours. What is the probability that the squad will have at most 2 calls in an hour? Round answer to 4 decimal places. Question 18 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) Part 6 of 6 - Probability Knowledge Check Practice 2.0/ 2.0 Points Question 19 of 20 1.0/ 1.0 Points The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains 38 numbers, and each number is assigned to a color and a range. What is the probability of winning when betting on two lines that touch each other on the table as in 1-2-3-4-5-6? • A. 2/38 • B. 6/38 • C. 5/38 • D. 4/38 Question 20 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. conditional probability • C. empirical probability • D. subjective probability