The probability of an integrated circuit passing a quality test is 0.86. In batch of 10 integrated circuits, assuming them to be binomially distributed, determine the probability that fewer than three will fail
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A: P(failure of a student's clock)=0.126Failing of both the clocks are independent of each other.
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A: Introduction: Denote p as the true proportion of people with Group O blood. It is given that p =…
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A: Given thatprobability that component is defective p = 1.9% = 0.019n = 15X ~Binomial(n, p) X ~…
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A: The probability of defective is 6% or p=0.06 the sample consists of 10 items, hence the probability…
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A: Denote X as the number of breakdowns per day, which follows Poisson distribution with mean 3.5.
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A: Given that X~U(a,b) a=13 , b=35
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A: Given a system with a single capacity 1 server with Random.Exponential(0.25) minutes inter-arrival…
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A: From the provided information, Sample size (n) = 56 A shipment contains 3000 batteries and 1% of…
Q: Assume that a student's alarm clock has a9.4% daily failure rate. Complete parts (a) through (d)…
A: Given data: The principle of redundancy is used when system reliability is improved through…
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Q: The principle of redundancy is used when system reliability is improved through redundant or backup…
A: It is given that the student’s alarm clock has 12.3% daily failure rate.
Q: A white goose hunter kills 60% of the geese he kills he shoots. Calculate the probability that with…
A: Probability that a white goose hunter kills the geese(p)=0.60sample size(n)=10Let "x" be that the…
Q: Suppose a basketball player has a free throw success rate of 75%. If she takes 4 free throws in a…
A: given that, a basketball player has a free throw success rate of 75%.
Q: An engineer uses three machine's concrete to pore a concrete rode. The first one produces 60% of…
A: Given information: Given that the engineer uses 3 machines concrete to pore a concrete rode. Given…
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Q: A component of a spacecraft has both a main system and a backup system operating throughout a…
A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…
Q: Given a survey conducted of randomly selected students, the number of credit course units that each…
A: Here , we know that number of students are countable. When we can count then it is discrete random…
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Q: A restaurant has 5 lines. Customers being dispatched to each line at a .25 probability. If customers…
A: GivenThe number of lines in restaurant or number of service s=5The customers arrive at the…
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A: Binary situation, that means either only two possibilities.
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A: we have given that The probability that there are 2 accidents in any given week is 3 times as much…
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A: Given, A random variable X~exponentially distributed. with Means 1.0,1.5 and…
Q: The principle of redundancy is used when system reliability is improved through redundant or backup…
A: Given:Probability that alarrm clock fails a day = 0.191,We have two such clocks and we have to find…
Q: A component of a spacecraft has both a main system and a backup system operating throughout a…
A: Given: A component of a spacecraft has both the main system and a backup system operating throughout…
Q: % of all cars fail the emissions inspection, find the probability that in a sample of 85 cars, 11…
A: Given,8% of all cars fail the emissions inspection, i.e. proportion(p)=0.08sample size(n)= 85To find…
Q: In the province of Sakarya, an average of 50 power outages occur in a year. Over voltage occurs in 5…
A: Binomial distribution : A Binomial is a type of distribution which has two possible outcomes. i.e.,…
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A: Given that,The probability of controlling pollution from A nad B are 0.7 and 0.85. If only one of…
Q: The principle of redundancy is used when system reliability is improved through redundant or backup…
A: given data P(students alarm clock will fail) = p = 0.165
Q: The mean number of customers arriving at a service station during the 25-minute period is 5. Find…
A: Let us denote X=the number of customers who will arrive at the service station during a 25-minute…
Q: There are 12 systems located at a site scheduled to perform a 20 hour mission.The system has a…
A: Given: Time in which mission is completed is t=20 hours. Predicted MTBF of system 1200 hours.…
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- The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?A survey showed that 40% of investors invest in at least two companies in order to diversify their risk. Find an approximate probability that more than 100 investors have invested in at least two companies in a random sample of 300 investors.
- The probability that a single radar station will detect an enemy plane is 0.65. What is the smallest number of stations required to be at least 98% certain that an enemy plane flying over will be detected by at least one station? If six stations are in use, what is the expected number of stations that will detect an enemy plane?The Washington Wizards and the Philadelphia 76ers are two teams in the National Basketball Association. Washington and Philadelphia will play multiple times over the course of an NBA season. Assume that the Washington has a 25% probability of winning each game against the Philadelphia. Construct a simulation model that uses the negative binomial distribution to simulate the number of games Washington would lose before winning four games against the Philadelphia. Now suppose that the Wizards face the Philadelphia in a best-ofseven playoff series in which the first team to win four games out of seven wins the series. Using the simulation model from part (a), estimate that probability that the Washington would win a best-of-seven series against the Philadelphia 76ers.A strand of patio lanterns has 10 identical lights. If one light in the strand fails to work, the entire strand of lights will not work. In order to have a 90% probability that the entire strand of lights will work, what is the maximum probability of failure for each individual light?
- An elephant eats an average of 3 bushels of alfalfa per day, with a standarddeviation of 0.8 bushels. Suppose that you need to feed 10 elephants for oneweek. If the distribution is normal, what is the minimum number of bushels ofalfalfa so that there is no more than a 10% chance of running out by the end of the week?A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…A large bank vault has several automatic burglar alarms. The probability is 0.55 that a single alarm will detect a burglar. (a) How many such alarms should be used to be 99% certain that a burglar trying to enter is detected by at least 8 alarm?
- Suppose that the amount of time it takes a clerk to process an employment application is uniformly distributed between 5 and 12 minutes. What is the probability that the clerk will take exactly 7 minutes to process a randomly selected application?A manufacturer makes two models of an item: model I, which accounts for 75% of unit sales, and model II, which accounts for 25% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 5% of its model I and 10% of its model II. If a model is selected at random, find the probability that it will be defective. Please round the final answer to 2 or 3 decimal places. P(detective)=
