STATISTICS BEC1 Statistics Final Exam Solutions WGU.Latest Update 2022/2023(SUMMER QTR).100% Correct Answers (Pass Guarantee)

Question 1 of 25 1.0/ 1.0 Points Which of the following correctly describes the relationship between a sample and a population? A.A population and a sample are not related. B.A population is a group of samples that may or may not be included in a study C.A sample is a group of subjects selected from a population to be studied. D.A sample is a group of populations that are subject to observation. Answer Key: C Part 2 of 9 - 2.0/ 2.0 Points Question 2 of 25 1.0/ 1.0 Points A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed and then replaced before choosing the next from the machine? A.0.0264 B.0.0531 C.0.0347 D.0.0482 Answer Key: C Question 3 of 25 1.0/ 1.0 Points A furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in every size, then the total number of different bookcases is A.5 B.8 C.15 D.30 Answer Key: C Part 3 of 9 - 3.0/ 3.0 Points Question 4 of 25 1.0/ 1.0 Points Find the variance of the following probability distribution. X P(X) 1 0.10 2 0.35 3 0.10 4 0.15 5 0.30 A.1.44 B.2.06 C.1.76 D.1.2 Answer Key: B Question 5 of 25 1.0/ 1.0 Points Find the variance of the following probability distribution. X P(X) 1 0.20 2 0.35 3 0.10 4 0.25 5 0.10 A.1.83 B.1.31 C.1.25 D.1.71 Answer Key: D Question 6 of 25 1.0/ 1.0 Points In a small town, 60% of the households have dogs. If 5 households are randomly selected, what is the probability that at least 4 of them have dogs? A.0.337 B.0.8 C.3 D.0.259 Answer Key: A Part 4 of 9 - 5.0/ 6.0 Points Question 7 of 25 0.0/ 1.0 Points The standard deviation of a probability distribution must be: A.a nonnegative number B.a number between 0 and 1 C.a negative number D.less than the value of the mean Answer Key: A Question 8 of 25 1.0/ 1.0 Points The standard deviation of is usually called the A.standard error of the sample B.randomized standard error C.standard error of the mean D.standard error of the population Answer Key: C Question 9 of 25 1.0/ 1.0 Points The standard deviation of a probability distribution is a: A.measure of variability of the distribution B. measure of relative likelihood C. measure of skewness of the distribution D. measure of central location Answer Key: A Question 10 of 25 1.0/ 1.0 Points One reason for standardizing random variables is to measure variables with: A.different means and standard deviations on a non-standard scale B.different means and standard deviations on a single scale C.dissimilar means and similar standard deviations in like terms D.similar means and standard deviations on two scales Answer Key: B Question 11 of 25 1.0/ 1.0 Points The normal distribution is: A.the single most important distribution in statistics B.a discrete distribution C.a density function of a discrete random variable D.a binomial distribution with only one parameter Answer Key: A Question 12 of 25 1.0/ 1.0 Points If Z is a standard normal random variable, then the value z for which P(-z Z z) equals 0.8764 is A.1.16 B.0.3764 C.3.08 D.1.54 Answer Key: D Part 5 of 9 - 1.0/ 1.0 Points Question 13 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The histogram below represents scores achieved by 250 job applicants on a personality profile. How many job applicants scored above 50? Place your answer in the blank. Do not use any stray symbols. For example, 123 would be a legitimate answer. 50 Answer Key: 50 Part 6 of 9 - 0.0/ 2.0 Points Question 14 of 25 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The following data were obtained from a survey of college students. The variable X represents the number of non- assigned books read during the past six months. x 0 1 2 3 4 5 6 P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03 What is the standard deviation of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry. 2.16 Answer Key: 1.62 Question 15 of 25 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The following data were obtained from a survey of college students. The variable X represents the number of non- assigned books read during the past six months. x 0 1 2 3 4 5 6 P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03 Find P(X 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. 1.14 Answer Key: 0.45 Part 7 of 9 - 0.0/ 2.0 Points Question 16 of 25 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events: = chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup Find the probability that the ice cream was sold in a cup and was strawberry flavor. Place your answer, rounded to 2 decimal places, in the blank. For exampe, 0.34 would be a legitimate entry. 31.4 Answer Key: 0.12 Question 17 of 25 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that neither of the questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry. .42 Answer Key: 0.49 Part 8 of 9 - 6.0/ 6.0 Points Question 18 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer. 0.7133 Answer Key: 0.6500|0.7500