MULTIPLE CHOICE. Choose the one alternative …

1 MULTIPLE choice . Choose the one alternative that best completes the statement or answers the ) If two events are mutually exclusive, what is the probability that one or the other occurs?A) 0B) ) ) cannot be determined from the information given2) If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probabilitythat event A occurs?A) 0B) ) ) cannot be determined from the information given3) If two events are independent, what is the probability that they both occur?A) ) 0C) ) cannot be determined from the information given4) A business venture can result in the following outcomes (with their corresponding chance of occurring inparentheses): Highly Successful (10%), Successful (25%), Break Even (25%), Disappointing (20%), and HighlyDisappointing (?

2 If these are the only outcomes possible for the business venture, what is the chance that thebusiness venture will be considered Highly Disappointing?A) 25%B) 20%C) 10%D) 15%5) A recent survey of banks revealed the following distribution for the interest rate being charged on a home loan(based on a 30 year mortgage with a 10% down payment).Interest > a bank is selected at random from this distribution, what is the chance that the interest rate charged on ahome loan will exceed ) ) ) ) ) The probability that house sales will increase in the next 6 months is estimated to be The probability thatthe interest rates on housing loans will go up in the same period is estimated to be The probability thathouse sales or interest rates will go up during the next 6 months is estimated to be What is the probabilitythat both house sales and interest rates will increase during the next 6 months?

3 A) ) ) ) ) According to a survey of American households, the probability that the residents own 2 cars if annualhousehold income is over $25,000 is 80%. Of the households surveyed, 60% had incomes over $25,000 and 70%had 2 cars. What is the probability that the residents of a household do not own 2 cars and have an income over$25,000 a year?A) ) ) ) ) A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while thenew machine produces only 8% defective widgets. In addition, the new machine produces 3 times as manywidgets as the older machine does.

4 Given a randomly chosen widget was tested and found to be defective,what is the probability it was produced by the new machine?A) ) ) ) 4 1 Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused bydrunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundredaccidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved andwhether alcohol played a role in the accident. The numbers are shown below:Number of VehiclesInvolvedDid alcohol play a role?

5 1 2 3 TotalsYes 50 100 20170No25 175 30230 Totals75 275 504009) Referring to Table 4 1, what proportion of accidents involved more than one vehicle?A) 275/400 or ) 325/400 or ) 75/400 or ) 50/400 or ) Referring to Table 4 1, what proportion of accidents involved alcohol and a single vehicle?A) 195/400 or ) 245/400 or ) 25/400 or ) 50/400 or ) Referring to Table 4 1, what proportion of accidents involved alcohol or a single vehicle?A) 245/400 or ) 195/400 or ) 25/400 or ) 50/400 or ) Referring to Table 4 1, given that MULTIPLE vehicles were involved, what proportion of accidents involvedalcohol?

6 A) 120/400 or 30%B) 120/170 or ) 120/325 or ) 120/230 or ) Referring to Table 4 1, given that 3 vehicles were involved, what proportion of accidents involved alcohol?A) 20/170 or ) 20/30 or ) 20/400 or 5%D) 20/50 or 40%14) Referring to Table 4 1, given that alcohol was not involved, what proportion of the accidents were multiplevehicle?A) 50/170 or ) 120/170 or ) 25/230 or ) 205/230 or ) A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students isselected from the program to be interviewed about the introduction of a new fast food outlet on the groundfloor of the campus building, what is the probability that all 4 students selected are undergraduate students?

7 A) ) ) ) ) Whenever p = and n is small, the binomial distribution will beA) ) left ) right ) none of the above217) If the outcomes of a random variable follow a Poisson distribution, then theirA) mean equals the standard ) median equals the ) mean equals the ) median equals the standard ) A study was recently done in which 500 people were asked to indicate their preferences for one of threeproducts. The following table shows the breakdown of the responses by gender of the PreferenceGender ABCMale 8020 10 Female20070120 Based on these data, the probability that a person in the population will prefer product A can be assessed as:A) ) ) ) ) A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.

8 Pricesfor 100 rats follow the following distribution:Price:$ $ $ much should the lab budget for next year s rat orders be, assuming this distribution does not change?A) $650B) $520C) $637D) $78020) A package delivery service claims that no more than 5 percent of all packages arrive at the address that the conditions for the binomial hold, if a sample of size 10 packages is randomly selected andthe 5 percent rate holds, what is the probability that more than 2 packages will be delivered late?A) ) ) ) ) The number of visible defects on a product container is thought to be Poisson distributed with a mean equal Based on this, the probability that 2 containers will contain a total of less than 2 defects is:A) ) ) ) ) A small city has two taxi companies (A and B).

9 Each taxi company has 5 taxis. A motel has told thesecompanies that they will randomly select a taxi company when one of its customers needs a cab. This morning3 cabs were needed, assuming that no one individual taxi can be used more than once, what is the probabilitythat 2 of the cabs selected will be from Company A and the other will be from B?A) ) ) ) ) Thirty six of the staff of 80 teachers at a local intermediate school are certified in Cardio PulmonaryResuscitation (CPR). In 180 days of school, about how many days can we expect that the teacher on bus dutywill likely be certified in CPR?

10 A) 65 daysB) 5 daysC) 45 daysD) 81 days24) A probability distribution is an equation thatA) assigns a value to the variability in the sample ) associates a particular probability of occurrence with each outcome in the sample ) assigns a value to the center of the sample ) measures outcomes and assigns values of Xto the simple ) Which of the following about the binomial distribution is nota true statement?A) Each outcome is independent of the ) The random variable of interest is ) Each outcome may be classified as either event of interest or not event of interest.