Example2: It is known that 20% of the insulators are defective. What is the probability of finding three or more defective insulators in a string of five?
Q: f 9 out of 1496 people have a certain genetic defect, what is the probability of selecting three…
A:
Q: Suppose 59% of vegetarians are women. Suppose a random sample of 500 vegetarians is taken. What is…
A: Answer: From the given data, Population proportion of vegetarians who are women (P) = 59% = 0.59…
Q: A survey showed that 75% of adults need correction for their eyesight. If 8 adults are randomly…
A: Given that 75% of adults need correction for their eyesight. There are 8 adults in the study. Let us…
Q: An old computer system has 2,000 components. The failure probability of one of the components, in a…
A: Let p be the probability that a component in a year of operation fails. Given that p = 0.001 Number…
Q: Suppose a company manufactures light bulbs, and the probability of a bulb being defective is 0.05.…
A: Let X: number of defective bulbs.X has binomial distribution because trials are finite, trials are…
Q: A medical study tests a new cough medicine on 4250 people. It is effective for 3982 people. What is…
A: Based on the provided information, the known values are: Number of success=3982 people. Number of…
Q: On average, 1 out of every 10 radiation caps leaks right out of the box. What is the probability…
A: Given Information: Probability of a leaked radiation cap = 1/10 = 0.1 Number of newly manufactured…
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: Suppose that 92.0% of bolts and 87.0% of nails meet specifications. One bolt and one nail are chosen…
A: The objective of this question is to find the probability that neither a bolt nor a nail meets…
Q: A certain group of women has a 0.37 % rate of red/green color blindness. If a woman is randomly…
A: The probability of compliment of an event A, is defined as P(A’) = 1 – P(A).
Q: Find the indicated complement. A certain group of women has a 0.46% rate of red/green color…
A: Event: The collection or the set of outcomes in an experiment is called as an event.…
Q: 2.4-8. A boiler has five relief valves. The probability that each opens properly is 0.97. (a) Find…
A: Givenn=5p=0.97Let "x" be the no.valves open properlyx~Binomial(n=5,p=0.97)P(X=x)=(nx)×px×(1-p)n-x…
Q: If 2% of the population is allergic to peanuts an(d)/(o)r tree nuts, what is the probability that…
A: From the provided information, 2% of the population is allergic to peanuts an(d)/(o)r tree nuts that…
Q: A survey showed that 80% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…
A: Probability of adults need correction (eyeglasses, contacts, surgery, etc.) for their…
Q: The Dow Jones Industrial Average has reached 27,164 points this week. An investment advisor…
A: The probability that a stock she recommends is profitable is 0.40, which is fixed. Thus, we have a…
Q: A certain group of women has a 0.79% rate of red/green color blindness. If a woman is randomly…
A: Solution: From the given data, The probability that women in a certain group has red/green color…
Q: Suppose that the prevalence of a certain type of tree allergy is 0.32 in the general population. If…
A: The objective of this question is to find the probability that exactly 32 out of 100 people will…
Q: Suppose that 15% of a population is red-headed, and 10% of the same population is left-handed. If…
A: It is known that, if two events A and B are independent, then P(A and B) = P(A)P(B).
Q: Suppose that you and two friends go to a restaurant, which last month filled approximately 90.9% of…
A:
Q: If an event has a 1/50 chance of occurring, what is the probability that the event will occur three…
A:
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: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…
A: smith checks 300 of the 7500 welds completed that shift.suppose x be the number of substandard…
Q: A vendor supplies 200 parts and claims that no more than 25% of them are defective. The receiving…
A: Total number of parts=200 Sample size(n)=5 Claim is that not more than 25% are defective
Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the…
A: Let X be the number of mice. The average number of field mice per acre is estimated to be 10.
Q: Suppose that 60% of all California motorists are insured. Find the probability that more than 55%…
A: given data P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?
Q: Suppose on a given day, there is a 43% chance Emily will forget her wallet when going to work. What…
A: Let x follows binomial distribution with parameters n = 10 and p = 0.43 The pdf of binomial…
Q: A certain group of women had a 0.73% rate of red/green color blindness. If a woman is randomly…
A: It is given that a certain group of women had a 0.73% rate of red/green color blindness.
Q: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…
A: It is given that p = 0.05 and n =300.
Q: A factory produces computer chips with a 12% defect rate. In a batch of 10 computer chips. What is…
A: Given that a factory produces computer chips with a 12% defect rate.Sample size, n = 10
Q: The infection rate of a certain disease is estimated to be 6%. Suppose 18 people enter a room…
A:
Q: What happens to trees over a five-year period? A study lasting more than 30 years found these…
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Q: Suppose that asthma affects 1 in 20 children in a population. We decide to redo the survey and now…
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Q: Suppose that asthma affects 1 in 20 children in a population. You take an SRS of 50 children from…
A: It is given that asthma effects 1 in 20 children in a population. Let the random variable X denotes…
Q: A certain insecticide kills 60% of all insects in a laboratory experiment. A sample of 9 insects is…
A: The random variable is the number of insects that will die.The number of trials: The probability of…
Q: 2 The probability of Inspector #1 on a production line finding a defective item is 0.8 and of…
A: Let, A = eventof defective item on a production line E1 = Inspector #1 E2 = Inspector #2 Then, we…
Q: Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What…
A: Introduction: Denote X as the random variable of interest here, which is the number of days that the…
Q: If 70% of a population is vaccinated, and the hospitalization rate is 5 times higher for an…
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- A certain group of women has a 0.210.21% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness? What is the probability that the woman selected does not have red/green color blindness?A certain group of women has a 0.29% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?A new surgery is successfully 85% of the time . If the results of 7 such surgeries are randomly sampled, what is the probability that at least 5 of them are successful. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
- Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…What is the probability of finding an H2O based compound with a blue label in a storage facility of 1,000 vials. We know there are 22 vials of H2O based compound in the facility, and that 800 of the total number of vials in the facility have blue labels.The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a college in that state, then find the most likely value for the number of people who failed the test at that college.
- Suppose that at a large university 30% of students are involved in intramural sports. If we randomly select 15 students from this university, what is the probability that fewer than 5 of these students are involved in intramural sports?Bryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete?Suppose there is a 3/10 chance of snow each day this week. What is the probability that it will snow every day this week?
- A survey showed that 84% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction?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.A random sample of 450 adults is taken from a population of 15000. It is believed that 82% of the population owns a cell phone.What is the probability that from the sample, less than 80.5% of them own a cell phone? What is the probability that from the sample, between 81% and 82.5% of them own a cell phone?