10 The incidence of occupational discase in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers, 4 or more will contact the disease ?
Q: One prominent physician claims that 70% of those with lung cancer are heavy smokers. If his…
A: Given that : Let X be the number of patients who are heavy smokers.X~Binomial( 10, 0.70)
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A: Given that Probability mass function X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…
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Q: A plastic injection molding machine operates 320 days a year. It is the bottleneck workstation in a…
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A:
Q: In a dental study on children it was found that the probability of the child population having any…
A: P(C) = p = 2/3 P(Not C) = q = 1-p= 1/3
Q: Eighteen percent of adults in Austria have completely paid off their house mortgage. You randomly…
A: Let X denote the number of 10 adults have completely paid off their house mortgage. Then X follows a…
Q: a large university 13.5% of the students.11 economics, 24.7% of the students take atistics and 11.7%…
A: Peconomics=0.135Pstatistics=0.247Peconomics and statistics=0.117
Q: An automobile manufacturer produces 36% of its cars at plant A. If 4% of the cars manfactured at the…
A: Solution-: Given: Produce car in plant A=36% i.e. P(A)=0.36 Defective device by plant A=4%=0.04 We…
Q: What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70…
A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…
Q: What is the probability of obtaining pink or brown followed by green?
A: Given ,First spinner is having three different colours pink, blue, brown.Second spinner is having…
Q: There's a rare disease that occurs in 1% of the population. There's a test that yields positive…
A: From the given information, Consider, D be the event that shows the population having rare disease.…
Q: The state inspection agency announced that last semester, of all cars inspected, 0.12 rejected for…
A: We want to find the probability
Q: 70% of iPhone batteries are made from China and 30% from Korea. The failure rates within a year for…
A: Let C denotes batteries produced from china, K denotes batteries produced from Korea and F denotes…
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: From the research conducted by a Cancer Research Institute, it has been found that 5 percent of male…
A: Number of male cancer patients = 50 Number of female cancer patients = 50 Total number of cancer…
Q: the legitimate users originate calls from two or more metropolitan areas in a single day. However,…
A: P(called from 2 or more metropolitan area) =P(legitimate and called from 2 or more metropolitan…
Q: (a) Find the probability that more than 40% of the people in this sample have highblood pressure.(b)…
A: Given : n=75 , p=0.3 Our aim is to find the following : (a) Find the probability that more than 40%…
Q: Suppose the influenza vaccine this year is 88% effective to prevent the flu among high-risk…
A: Probability, p = 88% = 0.88Sample size = 25
Q: 30% of bacteria (B) strains are resistant to antibiotic (A). Bacteria from 7 individuals was…
A:
Q: 10 years ago, high levels of lead in blood put 83% of children at risk. Now only 8% of children are…
A: Introduction: Denote p as the true population proportion of children who were at risk 10 years ago,…
Q: A basketball player with a history of making 80% of the foul shots taken during games. What is the…
A: Let X be the random variable from binomial distribution with sample size (n)= 7 and probability of…
Q: There is currently a global pandemic and many researchers and scientists are working assiduously to…
A: Given, There is currently a global pandemic and many researchers and scientists are working…
Q: What is the probability of no failures in a given day? b. What is the probability of one or more…
A:
Q: An experimental drug has been shown to be 85% effective in eliminating symptoms of allergies in…
A: We have to find given probability.
Q: High blood pressure has been identified as a risk factor for heart attacks and strokes. The National…
A: Given: Proportion, p = 0.3 Sample size, n = 80 μ(p)=p=0.3 Standard deviation, σ= p…
Q: A certain disease affects 1% of the population. A diagnostic test for the disease is 99% accurate…
A: Introduction Bayes' theorem is a mathematical formula used in statistics to calculate the…
Q: A scientist is testing 120 samples of Copper dug out from a mine randomly to access purity. In the…
A: Given n=120 P=0.65
Q: mcburger's drive thru has only one service window and serves an average of 2 customers every 5…
A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…
Q: diagnostic
A:
Q: If a particular shipment of thousands of aspirin tablets actually has a 44% rate of defects, what…
A: It is given that aspirin tablets have a 44% rate of defects. That is probability of getting a…
Q: The World Series in baseball ends when a team wins four games. Suppose that the Cardinals and the…
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Q: The risk of a hematoma among alcoholics without cirrhosis of the liver is 24%. Suppose we observe 7…
A:
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: 70% of iPhone batteries are made from China and 30% from Korea. The failure rates within a year for…
A: Let A - iPhone batteries are made from China A' - iPhone batteries are made from Korea. D - battery…
Q: Enterococci are bacteria that cause blood infections in hospitalized patients. One antibiotic used…
A: Given n=sample size=18, q be the probability of successful treatment q=3%
Q: A certain type of rocket has 5 ignitors which act independently of the others. Each ignitor has a 5%…
A: Let X denotes the number of ignitor fails which follows binomial distribution with sample size 5 and…
Q: What is the probability that 8 out of 12 customers will see dramatic results? What is the…
A:
Q: An industrial process manufactures components with an 8% defective rate. Each day the process is…
A:
Q: Suppose that 20% of all M&Ms are yellow. We will choose a random sample of 11 M&Ms from this…
A: Let x follows binomial distribution with parameters n = 11 and p = 0.20 The pdf of binomial…
Q: A study of 3000 people compared the rates of liver cancer between 2000 people who drank one or more…
A: Here we want to test the relationship between coffee drinking and liver cancer. For finding the…
Q: Breast cancer occurs in 2% of all American women. Mammograms used to detect breast cancer typically…
A:
Q: 10% of tax returns from Region A contain fraud. 15% of returns from Region B contain fraud. If 70%…
A: Given problem is : 10% of tax returns from Region A contain fraud. 15% of returns from Region B…
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- The probability that someone can taste PTC is 0.7. Suppose 20 people are randomly selected andtested for their ability to taste PTC.(a) What is the probability that 17 or more can taste PTC?(b) What is the probability that 15 or fewer can taste PTC?Light bulbs are tested for their life-span. It is found that 16% of the light bulbs are rejected. A random sample of 50 bulbs is taken from stock and tested. The random variable X is the number of bulbs that are rejected. What is the probability that the value of X is at least 5?An observer stands at a highway overpass and counts the automobiles that pass by. When he sees a red automobile, he stops counting. What is the likelihood that 10 automobiles will be spotted if the probability of red cars is 0.20?
- A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 7%. It is estimated that 5.13% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that, given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?Only 6% of people has 0-negative blood type. If a local blood drive has 100 donors, what is the probability that at least 10 of the 100 donors has O-negative blood?An experiemental drug has been shown to be 75% effective in eliminating symptoms of allergies in animals studies. A small human study involve 6 participants is conducted. What is the probability that the drug is effective on half of the participants
- 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?Apparently, depression significantly increases the risk of developing dementia later in lift (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression. What is the probability of a person developing dementia? If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?What is the probability that a driver who was released had actually been drinking?
- 1% of all products in a factory are defective. During quality control, a test is applied that detects a defective product with a probability of 0.99, and in 1% of cases it incorrectly rejects a correct product. Find the probability that the product that is rejected is actually correct, as well as the probability that the product that is accepted in the test as correct is in fact defective..Assume that the vaccine is given to a group of 50 people from Jamaica, what is the probability that it is an effective in exactly 40 persons? Interpretation your resultcandy industries take random samples from their inventory and sort by flavor. daycare center samples a number of those they take care of and sort by how often they cry during a day visit. If you randomly select a candy from the candy sample and a child in daycare from the daycare sample, what is the probability that you'd pick a grape taffy and a child who cries more than twenty times a day?
