Suppose a store accepts VISA and Mastercard only. If 40% of customers carry a VISA card, 70% carry a Mastercard, and 25% carry both, what is the probability (1.e., a number between 0 and 1), that a random customer carries a card accepted by this store?

Q: If 75% of all purchases at a certain store are made with a credit card and X is the number among 100…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 55% of the people own dogs. There are two people. Let us define the binomial random…

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: Suppose that 46% of people own dogs. If you pick two people at random, what is the probability that…

A: Independent Events:   The events A, B are said to independent if the occurrence of the event A do…

Q: In a certain voting precinct, 81% of voters are registered democrats. what is the probability that,…

A:

Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

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: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: It has been estimated that 21% of Americans are smokers. If five American adults are chosen at…

A: From the provided information, It has been estimated that 21% of Americans are smokers that is p =…

Q: A western city has 20 police officers eligible for promotion. Eleven of the 20 are men. Suppose only…

A: Q14. In this situation the hyper geometric distribution is appropriate to use. The probability…

Q: Suppose there is a 10.1% probability that a randomly selected person aged 35 years or older is a…

A: To find: 1.The probability that randomly selected person aged 35 years or older is male and smoker…

Q: Consider a family with three children. Given that at least one of the children is a boy, whatis the…

A: Solution

Q: If 20% of the residents in a US city prefer a white telephone over any other color available, what…

A: Givenp=0.20n=1000x~Binomial(n=1000,p=0.20)P(X=x)=(nx)×px×(1-p)n-x   ;  x=0,1....,n

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: In a town of 5000 people, 1000 are over 60 years old and 2000 are female. It is known that 40% of…

A: Given: Total People in town=5000Number of people over 60=1000Number of females=2000Number of female…

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: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A:

Q: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

A:

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

A:

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

A:

Q: One- fourth of the freshmen entering UC are out of CAR students. If the students are assigned at…

A:

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: 3) Suppose the probability of Kevin attending a party is 80% and the probability of Judy attending a…

A: Given: P( A) = P( kevin attend party) = 0.80 P(B) = P( judy attend party) = 0.95 Events A and B are…

Q: What is the probability that a child expected from a certain family will be: a.) a boy b.) a girl.…

A: In this case, we need to find the probability that a child expected from a certain family will be a…

Q: If a family has four children, is it more likely ... they will have two boys and two girls or three…

A: Let us denote X=the number of boys   n=number of trials=4 p=probability of success=1/2 =0.5   X…

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

A:

Q: 1) If a family has four children, is it more likely they will have two boys and two girls or three…

A: Solution : Given : A family have four children and probability of a child being boy = 0.5 ∴…

Q: Consider a family with three children. Given that at least one of the children is a boy, what is the…

A: Given,a family has 3 childrenthe probability of having a boy is 0.5and  the gender of the second…

Q: Suppose there is a 20.6% probability that a randomly selected person aged 25 years or older is a…

A: Given information- The probability that a randomly selected person aged 25 years or older is a…

Q: Suppose that at UVA, 72% of all undergraduates are in the College, 10% are in Engineering, 8% are in…

A: Let  A be the undergraduate in the college. B be in the engineering. C be in  the Commerce.  D be…

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: 3. A traffic control engineer reports that 75% of the vehicles passing through a check point are…

A: Given,n=5p=1-0.75=0.25A random variable X~Binomial(n=5 , p=0.25)P(X=x)=5x0.25x1-0.255-x ; x=0,1,...5

Q: If 20% of the chips produced by a company are defective, thenthe probability that at most 3 out of 5…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Assume for this problem that the company has 6 Hondas and 5 Fords, and two cars are selected…

A: Number of Hondas cars = 6 Number of Fords= 5 Probability of both cars being Hyundai , given that…

Q: Of one card is drawn from a standard deck of cards, what is the probability that the card will be a…

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 college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

Q: Suppose Julia owns a pen manufacturing company and determines that 3 out of every 75 pens are…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The probability that a person will have 0, 1, or 2 dental checkups per year is 0.3,0.6 , and 0.1,…

A: if there are m no. of event with probability p1,p2,....pm and if we carry out Experiment with N…

Q: 3. If 42% of the people in a certain garment factory are members of a union, find the probability…

A:

Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

A:

Q: Suppose that 73% of students in a college have a smart phone. If you select three students at…

A: Let success denotes one selected student have a smart phone. Then p=probability of success= 0.73…

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person owns dog. Given that p = 0.38

Q: Assume for this problem that the company has 8 BMWs and 5 Hondas, and two cars are selected randomly…

A: Let us denote that: B= both are BMWs H=both are hondas M=both are of the same make.    So, the…

Q: Assume for this problem that the company has 5 Hyundais and 7 Jeeps, and two cars are selected…

A: Given data are: Number of Hyundai cars = 5 Number of Jeeps = 7 Probability of both cars being…

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…

Q: A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards. (a)What is the…

A: Given, A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.