I Example 7 A manufacturer finds that 10% of articles made in his factory are defective. If he takes 3 articles at random what is the probability that there are more defective than non defective articles amongst the three.
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Q: 4. If the king's 50 knights are all randomly assigned a sword, and the 50 swords in the king's…
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Q: Suppose it has been observed that an average of six vehicles passes by their house per minute on…
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Q: If 30% of superheroes wear capes, 80% of cape-wearing superheroes can fly, and 36% of cape-wearing,…
A: According to the given information, we have Given that 30% of superheroes wear capes. And 80% of…
Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…
A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…
Q: PQ2
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Q: 61. In a certain town, males and females form 50 per cent of the population. It is known that 20 per…
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Q: (1) What is the probability that the driver meets with an accidents? (ii) What is probability the…
A: Let us define some events A : The person is truck driver. B : the person is motorbike driver. C :…
Q: 1. In a large suburban area, 10% of adults have high blood pressure. Suppose you select 15 adults at…
A: Given that n=15 , p=18%=0.18 , q=1-p=1-0.18=0.82 X~Binomial(n=15 , p=0.18)
Q: ear in early childhood, occurs at a rate of 1.6 episodes per year. a) What is the probability of not…
A: The number of episodes per year of otitis media, a common disease of the middle ear in early…
Q: In a certain examination 10% of the candidates failed in Science, 12% failed in English and 2%…
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Q: 2. One bag contains four white balls and three black balls, and a second bag contains three white…
A: Given One bag contains= 4 white balls and 3 black balls, second bag = 3 white balls and 5 black…
Q: 4. Al makes 35% of his 3-point shots (each shot independent of the others). If Al were to take 6…
A: The probability that he makes less than 5 of them is,
Q: If administrators are selected randomly from the faculty, what is the approximate probability that…
A: Given that, No. of teachers = 2000 P(men) = p = 50% = 0.50 P(women) = q = 50% = 0.50 No. of…
Q: 6. A certain company is ordering small parts shipped in large bins from two different suppliers:…
A: Let us define some events A : the part comes from supplier A B : the part comes from supplier B. E…
Q: 3. On 60% of days, a hospital admits at least one heart attack patient. On 40% of the days, no heart…
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Q: 2. A restaurant owner has calculated that 75% of customers order a drink with their meal, and this…
A: n=3p=0.75q=1-pq=1-0.75=0.25A random variable XBinomial(n=3 ,p=0.75)
Q: Suppose a factory produces computer chips, and 2% of the chips are defective. If a sample of 100…
A: The probability that exactly 3 chips are defective is obtained below as follows: The conditions for…
Q: 2. On 60% of days, a hospital admits at least one heart attack patient. On 40% of the days, no heart…
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Q: In a recent three-way election for a school organization, candidate A received 20% of the votes,…
A: Let us define the following exhaustive probabilities. P(A)=p1= Probability of votes received by A =…
Q: 4. A parent's chance of passing a rare inherited disease on to a child is 0.25. What is the…
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Q: A and B are both events in sample space S. P(A)=0.4 P(B)=0.3 P(A and B) =0.2 What's the…
A: A and B are both events in sample space S. Given, P(A)=0.4 P(B)=0.3 P(A and B) =0.2
Q: Approximately one-third of all human twins are identical (one-egg) and two-thirds are fraternal…
A: Given that Approximately one-third of all human twins are identical (one-egg) and two-thirds are…
Q: *A hospital receives 1/5 of its flu vaccine shipments from Company X and the remainder of its…
A: This can be solved using Bernoulli Formula.
Q: Suppose that in a small city, 30% of the men smoke, while only 20% of the women smoke. You select…
A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…
Q: A shipment of 5000 parts arrives where 0.5% of the parts are nonconforming. We randomly select 25…
A: Introduction: Denote X as the random variable representing the number of nonconforming parts in the…
Q: ) What is the probability they got bit by a mosquito or a deer fly (or both)? ) What is the…
A: The events are M : bitten by mosquito D : bitten by a deer fly Given that P(M) = 0.65, P(D) = 0.26,…
Q: Suppose that a certain tech company sources their chips from three different factories, F1, F2 and…
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Q: In a clinical trial, patients are enrolled into the trial one at a time. Suppose the trial consists…
A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…
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: 3. Suppose past data tells us that 12% of patients entering a clinic have liver disease and 5% of…
A: Let A be the event that denotes Patient has liver disease B be the event that denotes patient is…
Q: A wholesaler has purchased electronic parts from a supplier for several years and has found that 10%…
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Q: A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive…
A: Assume that p as the true proportion of defective batteries.
Q: What is the probability that it rains tomorrow?
A: Here define events and draw tree diagram
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- 8. A surgical technique is performed on seven patients. You are told there is a 60% chance of success. Find the probability that the surgery is successful for (a) exactly five patients, (b) at least five patients, and (c) at most two patients.11. At a particular lake 4% of the fish have a disease which causes food poisoning. You go to the lake one day and catch 6 fish. Assume each fish in the lake has an equal chance of being caught. You eat all the fish you catch. What is the probability you get food poisoning? (a) 0.204 (b) 0.217 (c) 0.229 (d) 0.2423. A retailer sells two brands of batteries that experience indicates are equal in demand. If he stocks two of each brand (which means he has 4 batteries in his store), what is the probability that a customer seeking to purchase two batteries, purchases the same brand? 1/3 2/3 01/2 1/4
- 7.) 1.You play a game with your friend where your probability of winning is 5%. If you play the game 50 times, What is the probability that you lose every game? What is the probability that you win the game at least once?Suppose it is known that 5% of men age 50 and older I have prostate cancer. And a random sample of 25 men age 50 and older what is the probability that exactly to have prostate cancer?Your assembly plant buys identical widgets from 3 suppliers, A, B, and C. Suppliers A and B each supplies a quarter of your widgets each day, whereas Supplier C supplies the remaining 50%. Of the widgets supplied by A, B, and C, the average numbers of defective widgets are 5%, 3%, and 7%, respectively.(a) If a widget is selected at random, what is the probability of it being defective? Let A, B, C be the event of a randomly picked widget being sourced by suppliers A, B, and C, respectively. Furthermore, let D be the event of a randomly-picked widget being defective. Use these symbols A, B, C, and D when you do this problem.(b) What is the probability of a randomly-picked widget being supplied by A and also being defective?(c) If a randomly-picked widget is defective, what’s the probability of it having been supplied by A?(d) If a randomly-picked widget is defective, what’s the probability of it having been supplied by B? By C? What's the sum of the 3 probabilities…
- Two machines turn out all the paper bags produced in the plant. Machine A produces 38% of the bags and machine B produces 62% of the bags. Machine A produces defective bags 1.9% of the time and machine B produces defective bags 3.8% of the time. Given a defective bag, what is the probability that it came from machine B?In 2020 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mr. Phillips takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening?3. You get a haircut from Barber Shop 1 30% of the time and Barber Shop 2 70% of the time. Barber Shop 1 gives a good haircut 80% of the time and a bad haircut 20% of the time while Barber Shop 2 gives a good haircut 90% of the time and a bad haircut 10% of the time. For any given haircut, the probability that it is a bad haircut from Barber Shop 1 is Barber Shop 2 is and the probability that it is a good haircut from O.06; .63 .2; .73 O.06; .73 .2; .63
- 26. During war 1 ship out of 9 was sunk on an average, in making a certain voyage. What is the probability that exácily 3 out of a convey of 6 ships would arrive safely.In a survey, 45% of the interviewees are of age below 30, 30% are between 30 and 50, and 25% are above 50. 90% of the interviewees aged below 30, 60% of the interviewees aged between 30 and 50, and 70% of the interviewees aged above 50 can swim. (a) If a randomly selected interviewee can swim, find the probability that his/her age is between 30 and 50. (b) If a randomly selected interviewee cannot swim, find the probability that his/her age is below 30.