Question: The percentage increase in the prices of five items A B C D and E are respectively 15 35 10 7 and 12 What is the mean percentage change Answer:B: 9 Question: Given that group of girls and boys exist in equal number and assuming that 5 of the boys are colour blind and that 10 of the girls are colour blind evaluate the probability that having drawn a colour blind person this is a female Answer:B: 06666 Question: Of 12 accounts held in a file four contain a procedural error in posting account balances If an auditor samples three accounts randomly what is the probability that at least one will contain the error Answer:A: 075 Question: Two cards are drawn from a deck of 52 cards Find the probabilities of the event that the first card is a king and the second a figure Answer:A: 00165 Question: The mean and the median wages of a group of workers are N350 and N340 respectively what is the modal wage Answer:B: N320 Question: The number of apples sold on a particular day by a fruit seller are 2 4 7 10 10 10 12 12 14 15 Determine the value at the 30th percentile Answer:D: 85 Question: During one month the ratio of millet prices to corn was 45 whereas during the next month the ratio was 25 find the arithmetic mean of the ratios of corn to millet for the 2 month period Answer:C: 03111 Question: A principal of N1000 is invested at an 8 annual rate of interest What will be the accrued interest after 6 years Answer:A: N58687 Question: The mean median mode and the standard deviation of a set of numbers are 2360 2340 1980 and 650 respectively what is the value of first coefficient of skewness Answer:B: 05846 Question: Of 300 business students 100 are currently enrolled in economics and 80 are currently enrolled in business statistics These enrollment figures include 30 students who are in fact enrolled in both courses What is the probability that a randomly chosen student will be enrolled in either economics E or business statistics B Answer:C: 05 Question: Suppose that 40 percent of the employees in a large firm are in favor of union representation and a random sample of 10 employees are contacted and asked for an anonymous response What is the probability that fewer than half of the respondents will be in favor of union representation Answer:C: 0633 Question: The number of apples sold on a particular day by a fruit seller are 2 4 7 10 10 10 12 12 14 15 Determine the value at the first quartile Answer:B: 7 Question: How many four digit numbers can be formed with the 10 digits 0129 if the last digit must be zero and repetitions are not allowed Answer:B: 504 Question: Suppose that three cards are chosen randomly from a playing deck of 52card s but that after each selection the card is replaced and the deck is shuffled before the next selection of a card What is the probability that all three cards are aces Answer:D: 00005 Question: In how many ways can 14 objects be split into 3 groups consisting of 2 5 and 7 objects respectively Answer:B: 72072 Question: For what value of m is m1P3 mP4 Answer:C: 5 Question: If 10 of the bolts produced by a machine are defective what is the probability that out of 5 bolts chosen at random at least 2 will be defective Answer:B: 008866 Question: If X Pok a poisson random variable with parameter k then which of the following is false mean equal 2k Answer:D: 2k is the mean Question: Young ladies have normally distributed weights with mean equal to 70gm and standard deviation equal to 3gm what percent are between 68 and 73gm Answer:C: 05889 Question: An insurance company is considering the addition of major medical coverage for a relatively rare ailment The probability that a randomly selected individual will have the ailment is 0001 and 3000 individuals are included in the group that is insured What is the probability that no one in this group of 3000 people will have this ailment Answer:D: 00498 Question: There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions If the device involved has four such components determine the probability that the device is inoperative because exactly one of the four components fails Answer:A: 02916 Question: Find the probability that during one particular minute there will be 4 or fewer phone calls if between the hours 10 and 12noon the average number of phone calls coming into the company is 25 Answer:B: 08911 Question: Find the value of v if vC3 35 Answer:D: 7 Question: Of 100 individuals who applied for database administrator positions with a large firm during the past year 40 had some prior work experience W and 30 had a professional certificate C However 20 of the applicants had both work experience and a certificate and thus are included in both of the counts What is the probability that a random chosen applicant had either work experience or a certificate but not both Answer:B: 03 Question: The probability of getting an answer to question is 06 what is the probability of a student getting 3 out of 5 questions Answer:C: 03456 Question: If a man purchases world cup raffle ticket he can win a first prize of N60000 or a second prize of N35000 with probabilities 00005 and 00003 what is a fair price to pay for the ticket Answer:A: N4050 Question: The average expenditure per week of four items A B C D are N20 N30 N30 and N50 respectively if the percentage increase in the prices of the items are 10 6 8 and 20 What is the mean percentage change by weighing the percent increase for each item by the average amount per week spent on that item Answer:B: 6 Question: The number of apples sold on a particular day by a fruit seller are 2 4 7 10 10 10 12 12 14 15 Determine the value at the second decile Answer:B: 55 Question: if the probability of any page in a financial book containing an error is 0005 what is the probability that at most three pages of its 400 page book are with errors Answer:C: 0857 Question: The probability distribution function of weekly share sales X was fxleftbeginmatrixfrac321 x2 0leq xleq 1 0 otherwise endmatrixright what is the expected value of X Answer:D: 38 Question: Hypergeometric distribution has parameters Answer:2 Question: There are 6 pupils and 4 cats In how many can they be seated in a row so that no cats sit together Answer:6 6 6 6 Question: A researcher is interested in the travel time of Utrecht University students to college A group of 50 students is interviewed Their mean travel time in 167 minutes For this study the mean of 167 minutes is an example of an Answer:Parameter Question: The mean of 10 observations is 10 All the observations are increased by 10 The mean of increased observations will be Answer:10 Question: The probability of success changes from trial to trial in Answer:Binomial Distribution Question: In a survey of companies it was found that 45 were in the mining sector 72 were in the financial sector 32 were in the IT sector and 110 were in the production sector What is the likelihood that a randomly selected company is either a mining company or an IT company Answer:0308 Question: In a survey of companies it was found that 45 were in the mining sector 72 were in the financial sector 32 were in the IT sector and 110 were in the production sector If a company is selected at random what is the probability that this company is not in the production sector Answer:0596 Question: Which of the following statements is always correct Answer:Mean Median Mode Question: If A and B are mutually exclusive events with PA 03 and PB 05 then P Acap B Answer:08 Question: If A and B are mutually exclusive events with PA 03 and PB 05 then PAcup B Answer:zero Question: In a survey of companies it was found that 45 were in the mining sector 72 were in the financial sector 32 were in the IT sector and 110 were in the production sector What is the likelihood that a randomly selected company is either a mining company o Answer:D: 0297 Question: In a survey of companies it was found that 45 were in the mining sector 72 were in the financial sector 32 were in the IT sector and 110 were in the production sector If a company is selected at random what is the probability that this company is not Answer:D: 0575 Question: Consumer products are those products bought by consumers for personnal consumption Answer:D: current Question: Consider probability distribution as standard normal if value of is 75 value of x is 120 with unknown standard deviation of distribution then value of z statistic Answer:will be positive Question: Suppose that a histogram of a data set is approximately symmetric and Answer:68 Question: The number of clients that enter a given store each hour follows a Poisson distribution with mean 325 We assume independence between the dierent hours The probability that in a given hour exactly 5 clients enter the store is Answer:01172 Question: In binomial distribution formula of calculating standard deviation is Answer:square root of npq Question: If value of x for normal distribution is 35 mean of normal distribution is 65 and standard deviation is 25 then standardized random variable is Answer: 12 Question: If quartile range is 24 then quartile deviation is Answer:48 Question: In a given sports activity the annual rate of accidents is of about 4 per thousand people An insurance company has 3000 insured clients that practice such sports activity A good approximation of the number of accident compensations the insurance company will have to pay in a given year is given by the distribution Answer:Poisson 12 Question: Data based on workers salary is given as 2500 2700 2600 2800 2200 2100 2000 2900 3000 2800 2200 2500 2700 2800 2600 and number of classes desired is 10 then width of class interval is Answer:100 Question: if nextrmC12nextrmC6 the value of n is Answer:18 Question: If a value represents the 95th percentile this means Answer:95 of all values are below this point Question: if ntextrmC12ntextrmC6 the value of n is Answer:18