If the probability of a machine producing a defective part is 0.05, what is the probability of finding exactly 5 defective parts in a sample of 100?(assume that the process folloes a binomial distribution,and round the answer off to four places
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A: A discrete random variable X is said to follow the binomial distribution if its p.m.f is given by:
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A: Given A survey is taken of 35 randomly selected college students asking them, "Do you plan to…
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A: we have p=60%=60100=0.60 1-p=1-0.60=0.40 n=179
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Q: Suppose a large shipment of cell phones contained 11% defectives. If a sample of size 359 is…
A: Sample size =359
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A: Using binomial distribution we find the probability.
Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…
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A: Given information- We have given that the chance of a person having a fatality is 2.7%. P = 0.027…
Q: Five percent of all credit card holders eventually become delinquent. The probability, rounded to…
A: Given, p = 5% = 0.05 q = 1 - p = 1 - 0.05 = 0.95 n = 19
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A: Bin(n=13, p=0.45)
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Q: A Food Marketing Institute found that 34% of households spend more than $125 a week on groceries.…
A: From the provided information, Population proportion (p) = 0.34 Sample size (n) = 140
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A: n=27, s=0.042, σ=0.069, α=0.05
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Q: Suppose a 5% of the items produced by a machine is defective. If a quality controller selects two…
A: Given that Success of probability p =0.05 Number of trials n=2 X~binomial (n,p)
Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…
A: The probability that exactly one responds is,
Q: Suppose a large consignment of televisions contained 13% defectives. If a sample of size 412 is…
A:
Q: Suppose that for Americans in the age group 18-24 years, sixty-eight percent had private health…
A: Let:p1 = percentage of private health insurance for the 18-24 age group = 68%p2 = percentage of…
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A: Given Data Probability of success,p = 0.11 Probability of failure,q=(1- 0.11 )= 0.89…
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If the
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- You guess repeatedly on an exam that is made up of multiple choice questions, all of which have 5 possible answers. There are 22 problems on the exam. If needed, round your answers below to three decimals. a. To model this situation with a binomial distribution, what would you use for p? b. How many questions would you expect to get right? C. What is the variance? d. What is the probability of getting 4 questions right? Submit QuestionDetermine whether the given procedure results in a binomial distribution. If not, give the reason why not.The Traverse City Cherry Festival surveyed 100 random people in attendance, asking what their favorite fruit was, and their responses were recorded as cherries or other Not binomial; there is not a fixed number of trials Not binomial; there are more than two outcomes for each trial Not binomial; the trials are not independent Not binomial; for more than one of the reasons given in the above answer choices This procedure results in a binomial distributionA weighted coin has a 0.486 probability of landing on heads and a 0.514 probability of landing on tails. If you toss the coin 27 times, we want to know the probability of getting heads exactly 11 times.Consider a toss of heads as success in the binomial distribution.
- In studies for a medication, 12 percent of patients gained weight as a side effect. Suppose 530 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 64 patients will gain weight as a side effect. (b) no more than 64 patients will gain weight as a side effect. (c) at least 75 patients will gain weight as a side effect. What does this result suggest?For a certain antidepressant, about 80% of patients experience some sort of side effect. A researcher takes a random sample of 23 patients and surveys whether they have experienced any side effects. Use the binomial distribution to compute the probability that exactly 16 of the patients in the sample have experienced at least one side effect. Identify the following information required to find the probability of patients who have experienced side effects. Provide your answer below: n = X = p= trials successes probability of side effectsA concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in the USA Today. According to the survey, 37% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that out of five adults, exactly three are concerned that employers are monitoring their phone calls. Select one: O a. 1.85 Ob. 0.799 Oc. 0.201 d. 3.15
- In an election, suppose that 60% of voters support a school levy increase. If we poll191 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.Toilet Flushing In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 64%of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose you survey a random sample of 740 adult American women aged 18–24 years. Use the normal approximation to the binomial to approximate the probability that (a) exactly 490 of those surveyed flush toilets in public restrooms with their foot. (b) no more than 490 of those surveyed flush toilets in public restrooms with their foot. (c) at least 503 of those surveyed flush toilets in public restrooms with their foot. What does this result suggest?Suppose a large shipment of scanners contained 9 % defectives. If a sample of size 492 is selected, what is the probability that the sample proportion will be greater than 8 % ? Round your answer to four decimal places.
- A Food Marketing Institute found that 26% of households spend more than $125 a week on groceries. Assume the population proportion is 0.26 and a simple random sample of 192 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.24? There is a probability that the sample proportion of households spending more than $125 a week is less than 0.24. Round the answver to 4 decimal places.I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?The bottom panel of figure 1 (p. 311) shows the probability histogram for the total number of spots when a pair of dice are rolled. (a) The chance that the total number of spots will be between 7 and 10 (inclusive) equals the area under the histogram between ___and ___ (b) The chance that the total number of spots will be 7 equals the area under the histogram between ___ and ____
