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BSTAT 2305 FINAL ACTUAL EXAM NEWEST VERSION - 2025/2026- WITH 100+ QUESTIONS AND VERIFIED ANSWERS (100% SUCCESS)
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What is the probability that the salesperson will sell one car during a week?
P(X = 1) = 10/25 = 0. Consider the following discrete probability distribution. x - P(X = x)
(0.22 + 0.25)100 = 47 employees. The number of cars sold by a car salesperson during each of the last 25 weeks is the following: Number Sold - Frequency 0 - 10 1 - 10 2 - 5 What is the probability that X is less than 5?
P(X < 5) = P(X = −10) + P(X = 0) = 0.35 + 0.10 = 0. The director of graduate admissions is analyzing the relationship between scores in the GRE and student performance in graduate school, as measured by a student's GPA. The table below shows a sample of 10 students. The correlation between GRE and GPA is positive and strong. =CORREL(
Var(X) = (0 − 1.2)^2 × 0.20 + (1 − 1.2)^2 × 0.40 + (2 − 1.2)2 × 0.40 = 0. SD(X) = √0.56 = 0. A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25. Winning project A and winning project B are independent events. What is the probability that the company does not win either project?
The addition rule is calculated as P(A∪B) = P(A) + P(B − P(A∩B). A complement rule is P(A) = 1 − P(A^c). P(A∪B) = 0.40 + 0.25 − 0.1 = 0. Neither = 1 − P(A∪B) = 1 − 0.55 = 0. An investor bought common stock of Blackstone Company on several occasions at the following prices.The following frequency distribution represents the number of shares and its price per share. Number of Shares - Price per Share 100 - $ 200 - $ 400 - $
The average price per share at which the investor bought these shares of common stock was the closest to __________. $29. x = (100 × 34 + 200 × 30 + 400 × 28)/(100 + 200 + 400) = 100/700 × 34 + 200/700 × 30 + 400/700 × 28 = 29.43. 5! is equal to _______. 5 × 4 × 3 × 2 × 1 The annual returns (in percent) for a sample of stocks in the technology industry over the past year are as follows: 4.2 −9.4 2.8 −16.0 −6. The median return is the closest to __________.
In Excel, the function used is =MEDIAN(4.2,-9.4,2.8,−16.0,−6.6) = −6. An experiment consists of tossing three fair coins. What is the probability of tossing two tails?
Width of class = (maximum value − minimum value)/(Number of classes) Width = (244 − 114)/5 = 26.00; so round up to 26. Which of the following is true regarding the weighted mean formula: =Σwixi for i = 1, ..., n Σwi = 1 =CORREL(
The following frequency distribution displays the weekly sales of a certain brand of television at an electronics store. How many weeks of data are included in this frequency distribution? 50 If we sum the frequency column, we obtain the sample size. The accompanying relative frequency distribution represents the last year car sales for the sales force at Kelly's Mega Used Car Center. If Kelly's employs 100 salespeople, how many of these salespeople have sold at least 35 but fewer than 45 cars in the last year? 4 0.04(100) = 4 employees A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25. Winning project A and winning project B are independent events. What is the probability that the company wins project A or project B?
The addition rule is calculated as P(A∪B) = P(A) + P(B) − P(A∩B).
We have an expert-written solution to this problem! The accompanying table shows students' scores from the final exam in a history course. Scores - Cumulative Frequency 50 up to 60 - 16 60 up to 70 - 38 70 up to 80 - 63 80 up to 90 - 92 90 up to 100 - 100 How many of the students scored at least 70 but less than 90? 54 Ninety-Two students scored less than 90, and 38 students scored less than 70. The total that scored at least 70 but less than 90 equals the number that scored less than 90 minus the number that scored less than 70: 92 − 38 = 54. Romi, a production manager, is trying to improve the efficiency of his assembly line. He knows that the machine is set up correctly only 70% of the time. He also knows that if the machine is set up correctly, it will produce good parts 95% of the time, but if set up incorrectly, it will produce good parts only 40% of the time. Romi starts the machine and produces one part before he begins the production run. He finds the first part to be good. What is the revised probability that the machine was set up correctly? 84.7%
We have an expert-written solution to this problem! Two hundred people were asked if they had read a book in the last month. The accompanying contingency table, cross-classified by age, is produced. Under 30 - 30+ Yes - 76 - 65 No - 24 - 35 The probability that a respondent is at least 30 years old is the closest to ______.
P(30+) = 100/200 = 0. There are 23 chess players participating in a weekend tournament. Prices are awarded to the first-, second-, third-, and fourth-place finishers. The number of different ways these four places can be filled by those playing is ______. 212,
(0.15 + 0.31)100 = 46 employees. The annual returns (in percent) for a sample of stocks in the technology industry over the past year are as follows: 4.2 −9.4 2.8 −16.0 −6. The average return is the closest to __________.
An analyst has a limit order outstanding on a stock. He argues that the probability that the order will execute before the close of trading is 0.30. What is the probability that the order will execute after the closing of trading?
The probability that the order will execute after the closing of trading = 1 − 0.3 = 0.7. In an experiment in which a coin is tossed twice, which of the following represents mutually exclusive and collectively exhaustive events? {TT, HH} and {TH, HT} For an experiment in which a single die is rolled, the sample space is __________. {2, 1, 3, 6, 5, 4}. The following histogram represents the number of pages in each book within a collection. What is the frequency of books containing at least 250 but fewer than 400 pages? 11 Add the frequencies, 7, 3, and 1, for the classes 250 up to 300, 300 up to 350, and 350 up to 400.
Var(RP ) = 11.82^2 × 0.60^2 + 7.19^2 × 0.40^2 + 2 × 0.60 × 0.40 × 17.10 = 66. Consider the following probability distribution. xi - P(X = x i)
E(X) = −2 × 0.20 + −1 × 0.10 + 0 × 0.30 + 1 × 0.40 = −0. Consider a population with data values of 12 8 28 22 12 30 14 The population variance is the closest to __________.
Mark Zuckerberg, the founder of Facebook, announced that he will eat meat only from animals that he has killed himself (Vanity Fair, November 2011). Suppose 257 people were asked, "Does the idea of killing your own food appeal to you, or not?" The accompanying contingency table, cross-classified by gender, is produced from the 187 respondents. Male - Female Yes - 35 - 20 No - 56 - 76 The probability that a respondent to the survey is male is the closest to ____.
P(Male)=(35+56)/187=0. We have an expert-written solution to this problem! The following probability table shows probabilities concerning Favorite Subject and Gender. What is the probability of selecting an individual preferring science if she is female?
P(Science∣∣Female)=0.150/0.575=0.
The following stem-and-leaf diagram shows the speeds in miles per hour (mph) of 14 cars approaching a toll booth on a bridge in Oakland, California. How many of the cars were traveling faster than 25 mph but slower than 40 mph? 6 26, 31, 31, 33, 37, and 38. The following frequency distribution shows the frequency of the asking price, in thousands of dollars, for current homes on the market in a particular city. What percentage of houses has an asking price between $350,000 and under $400,000? 18.9% In this case, (10 + 13 + 4 + 12) / (10 + 13 + 4 + 12 + 14) = (expression error)/(expression error) = 18.90%. Let P(A) = 0.3 and P(B) = 0.4. Suppose A and B are independent. What is the value of P(B|A)?
Given an experiment in which a fair coin is tossed three times, the sample space is S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Event A is defined as tossing one head (H). What is the event A^c and what is the probability of this event? A^c = {TTT, HHT, HTH, THH, HHH}; P(A^c) = 0. The complement of event A, Ac, is the event consisting of all outcomes in the sample space S that are not in A. Of the 8 outcomes, we only want those that have two heads or no heads. This makes 5 outcomes and 5/8 = 0.625. Sales for Adidas grew at a rate of 0.5196 in Year 1, 0.0213 in Year 2, 0.0485 in Year 3, and −0.0387 in Year 4. The average growth rate for Adidas during these four years is the closest to __________. 11.83% As of September 30, the earnings per share (EPS) of five firms in the beverages industry are as follows: 1.13 2.41 1.52 1.40 0. The 25th percentile and the 75th percentile of the EPS are the closest to __________. 0.77 and 1.
