An automobile manufacturer produces 36% of its cars at plant A. If 4% of the cars manfactured at the plant A have defective emissions control devices, what is the probability that one this manufacturer's cars was manufactured at plant A and has a defective emissions control device?
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A: given data P(students alarm clock will fail) = p = 0.165
An automobile manufacturer produces 36% of its cars at plant A. If 4% of the cars manfactured at the plant A have defective emissions control devices, what is the
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- If an affected female XLX marries an unaffected male XY, what is the probability of passing the hypertrichosis gene to her offspring? Remember hypertrichosis is an X-linked dominant disease. If an affected male XLY marries an unaffected female XX, what is the probability of passing the hypertrichosis gene to his offspring?Suppose a doctor is conducting a clinical trial to test the effectiveness of a new drug for treating a certain disease. The doctor randomly assigns 200 patients to two groups: a treatment group that receives the new drug, and a control group that receives a placebo. If 30% of the patients in the treatment group experience a full recovery from the disease, and 20% of the patients in the control group experience a full recovery, what is the probability that the new drug is truly effective, given these results?A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.96, and the probability that at least one if the two engines does so is 0.98 and the probability that both engine do so is 0.935. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
- 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.In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.97, and the probability that at least one if the two engines does so is 0.975 and the probability that both engine do so is 0.93. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
- Both flu and covid produce fevers. You know from past research that 10% of the population gets flu each year, but it is possible to get both covid and flu. Assume that the probability of getting flu and covid are independent. If this year the percentage of people reporting fever is 20%, what percentage of the population has covid? Studies show that due to similar transmission of flu and covid, someone who has covid has a 20% chance of also getting flu. What then is the probability of someone who has flu also having covid? Given the conditional information above, what is a better estimate of the percentage of people who have covid given the 20% fever reporting?1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)1) A manufacturer will purchase a battery from one of two suppliers. This manufacturer will get the battery from supplier 1 with probability 0.6 and from supplier 2 with probability 0.4. A battery obtained from supplier 1 has a lifetime, which is exponentially distributed with a mean of 6 months. On the other hand, the lifetime of a battery from supplier 2 is again exponentially distributed with a mean of 5 months. What is the probability that the purchased battery (from supplier 1 or 2 with aforementioned probabilities) will last more than 5 months?
- According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other. The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year isDo question 2A university computer laboratory installs one of three operating systems on each computer used in the lab. It is known from product testing that during an hour of web browsing the probability a computer with system 1 installed will crash is 0.15, the probability of a computer with operating system 2 crashing is 0.08 and the probability of a computer with system 3 crashing is 0.1. Operating systems 1 and 3 are installed on the same number of computers while system 2 is installed on twice as many computers as system 1 (or system 3).a) What is the probability that a randomly selected computer crashes during an hour of web browsing?b) If a computer selected at random crashed during an hour of browsing the web, what is the probability it has operating system 2 installed?c) If a computer selected at random does not crash during an hour of web browsing what is the probability it has operating system 1 or operating system 2 installed?
