Exercise 9. It is claimed that a community is made up of 60% Democrats, 20% Republicans, and 20% Independents. A sample of 10 community members will be taken. What is the probability that... (a) exactly 6 will be Democrats? (b) exactly 2 will be Independents? (c) at least 2 will be Independents?

Q: About one in every five Canadian residents were born outside of Canada. If 12 Canadian residents are…

A: # Given, one in every fire Canadian residents were born outside of Canada Then fr(outside) = 1/5…

Q: a. At LUG, 30% of students are majoring in Business. i. In a sample of 10 LUG students, what is the…

A: Given that,   Probability, p= 0.30   (i). If sample size is, n= 10  Then X~Binomial(10,0.30) p.m.f…

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A: Given that, In an NBA championship series, the team that wins four games out of seven wins. Assume…

Q: A consumer organization estimates that over a​ 1-year period 18​% of cars will need to be repaired​…

A: It is given that, P(repaired once)=0.18 P(repaired twice)=0.05 and P(three or more repairs)=0.04.

Q: 16. A certain airline company, having observed that 5% of the persons making reservations on a…

A:

Q: 3) In the United States, 56% of all children get an allowance and 40% of all children get an…

A: Let H -do household chores Let A -Child gets an allowance P(A) = 0.56 and P(A and H) = 0.40

Q: A life insurance salesman sells on the average 10 life insurance policies per week. i) What is the…

A: i) The random variable X is defined as the number of policies sold. The variable X has Poisson…

Q: a. If a car is rented in city 1, what is the probability that the car is returned in one day to city…

A: From the given table: (1) If a car is rented in city 1, The probability that the card is returned to…

Q: 2. Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

A: Given that  n= 250 , p=6%=0.6 , q=1-p=1-0.06=0.94

Q: A patient taking an antiviral medication recovers from a respiratory disease with 35% probability.…

A: The probability is p=0.35 and the value of n is 18. Therefore m=np=0.35×18=6.3 Therefore the…

Q: a) In a town with 5000 adults, a sample of 100 is asked their opinion of a proposed municipal…

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Q: A cell phone company found that 75% of all customers want text messaging on their phones, 80% want…

A: Given: Let's say that the total population is 100. Number of people want messaging is 75 Number of…

Q: 1.Sports Participation At a particular school with 200 male students, 58 play football, 40 play…

A: Based on the provided information, out of 200 male students, 58 play football, 40 play basketball,…

Q: Given that a person bought a hybrid vehicle, what is the probability that it was a truck?

A: Let us define some events A : a person buys a hybrid vehicle. B : a person buys a truck. Given that…

Q: Between May 3, 2009 and June 2, 2012, 54% of Kickstarter pitches were unsuccessful. What is the…

A: Introduction: Denote p as the true population proportion of projects that were unsuccessful. Since…

Q: 10% of the engines manufactured on an assembly line are defective. What is the probability that the…

A: Given that 10% of the engines are defective And 90% of the engines are non-defectives   Then p=0.9…

Q: 13. An airline knows that 5 percent of the people making reservations on a certain flight will not…

A: 5 percent of the people making reservations; q=0.05 Policy is to sell 52 tickets for a flight Total…

Q: 2. From a group of 12 people, what is the probability that: a) none share a birthday b) at least two…

A: Probability is the measure of likelihood. It is calculated by dividing the number of favorable…

Q: Seven of the 15 campus police officers available for assignment to the auditorium in which a local…

A:

Q: In a city, 28% of new cars were stolen within one year of purchase. Suppose two new cars were…

A:

Q: According to a recent​ study, 64​% of households from a certain large region no longer have a…

A: The random variable cell phone service follows binomial distribution. The value of the proportion is…

Q: 2. The quality of computer disks is measured by the mumber of missing pulses. Brand X is such that…

A: It is given that the probability of the disks have no missing pulses is 0.80.

Q: A company receives 65% of its orders over the Internet. Within a collection of 18 independently…

A: Given data, n=18 p=65%=0.65 P(X≤4)=?

Q: 1. One prominent physician claims that 70% of those with lung cancer are chain smoker. If his…

A:

Q: If there are, on the average, 7 defects in a new car, what is the probability that your new car has…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: 5. With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular…

A:

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A:

Q: 3) Each year a college awards five merit scholarships to entering freshmen with exceptional high…

A: PBoth men and women will receive scholarships=1-POnly men or only women will receive…

Q: We can suppose that 55% of all adults regularly consume coffee, 45% regularly consume soda, and 70%…

A:

Q: 3)- Records at än plant show 12% of all injured workers are admitted to a hospital for treatment,…

A: Given Information: Percentage of injured workers admitted to a hospital = 12% Percentage of workers…

Q: 6. In a classroom of 30 students, 3 of the students wear wrist watches. If 14 students are selected…

A: Given,N=30M=3n=14X=2A random variable X~Hyper geometric(N=30 , M=3, n=14 , x=2)P(X=x)=MXN-Mn-xNn  ;…

Q: 15. A football team scores on average 2.25 goals per game, what is the probability that the team…

A: Given that, A football team scores on average 2.25 goals per game. We need to find the probability…

Q: a) What is the probability that they received a citation and attended traffic school?  b) What is…

A: here define event receive citation  =C attend traffic school = T p(T) = 0.22 p(C) = 0.20 p(T| C) =…

Q: A consumer organization estimates that over a​ 1-year period 19​% of cars will need to be repaired​…

A:

Q: According to a survey on dental insurance coverage, 72% of children, 48% of non-elderly adults, and…

A: It was stated that according to a survey on dental insurance coverage, 72% of children, 48% of…

Q: 2. A factory runs three shifts. In a given day, 1% of the items produced by the first shift are…

A: In probability theory, an event is an outcome or a set of outcomes of a random experiment to which…

Q: Over the course of a shipping season, 50% of the boats entering Winnipeg Harbour are registered in a…

A: Let x be the number of ships registered in foreign country and x~Bin(n=10, p=0.50) prob.  of x…

Q: 6) In a country with a population of hundreds of millions, where capital punishment is legal, 10000…

A: Solution.

Q: 4) The Tauroto region contains 31 different species of IceCream-type small monsters. Each capture of…

A: Given, The tauroto region contains 31 different species of Icecream-type small monsters Each capture…

Q: About 10% of all adults deliberately do a one-time fling and feel no guilt about it. In a group of…

A:

Q: An insurance company has determined that each week an average of nine claims are filed in their…

A:

Q: A consumer organization estimates that over a 1-year period 15% of cars will need to be repaired…

A: Let r0 denotes no repair required. Let r1 denotes repairing is needed for once. Let r2 denotes…

Q: In a certain shipment of 1000 laptops, 20 are defective. If a customer purchases the first 4 laptops…

A:

Q: 12. A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the…

A:

Q: (a) What is the probability that more than two calls are received in a one-hour period? (b) What is…

A: Here As per POLICY I HAVE CALCULATED 3 subpart only

Q: An entrepreneur owns seven corporations, each with more than $10 million in assets. The entrepreneur…

A: Given,n=7p=0.12q=1-pq=1-0.12=0.88A random variable X~Binomial(n=7 , p=0.12)P(X=x)=7x0.12x0.887-x  ;…

Q: 1) In New York State, 46% of all teenagers own a skateboard and 35% of all teenagers own a…

A: Teenagers own a skateboard = 46% = 0.46teenagers own roller and own a skateboard = 35%=0.35

Q: 2. A shipment of twelve smartphones contains seven with cracked screens. If sold in a random order,…

A: Given, Total no of smart phones in shipment = 12 Total no of smart phones with cracked screens = 7…