Melanin content and cytotoxicity of cultured melanocytes originating from persons with different skin phototypes were observed using spectrophotometry. The results obtained as follows. (c) Melanin content High Low High 13 Cytotoxicity Low 45 33 (ii) What is the probability that the cytotoxicity is high, given that melanin content is low?
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- A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62% What is the probability that in a random sample of 470 headache sufferers, less than 59.9% obtain relief?A random sample of n = 9 scores is obtained from a normal population with μ = 40 and σ = 18. What is the probability that the sample mean will be greater than M = 43?In a genetics experiment on peas, one sample of offspring contained 436 green peas and 373 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
- You want to find the probability that people will return a shopping cart to the corral after loading the groceries in their vehicle. For a 4 hours period, you observe the number of people who returned their cart and the number who did not. A success in this case would be that the person returned their cart. Choose the best statistical tool to calculate this probability A. Use the Central Limit Theorem to find the probability that the sample mean exceeds a certain value B. Use the empirical rule to find the number of cars that bracket 68% of the data C. Calculate a confidence interval for the population mean D. Calculate the total number of successes divided by the total number of observations to find the observed probabilityIn a genetics experiment on peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
- The probability that a randomly selected man from the certain age group runs slower than 4.36 mph is 0.2119. (You can check this, for practice, but it's true.) Calculate the probability the man runs between 4.36 and 6.2 mph, using this and your answer to the previous question. To help you accomplish this, consider the following three pictures of areas under the normal bell curve. This depicts the probability the man is slower than 6.2 mph. -3 This depicts the probability the man is slower than 4.36 mph. -3 -2 -2 -1 0 1 2 2 님! 3 3 FDied from Did Not Die Cancer from Cancer Never smoked cigars 708 124,756 9,355 Former cigar smoker Current cigar smoker 86 137 6,567A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.
- The manufacturer of a new model car (Camry) claims that a typical car gets 26 miles per gallon. A consumer advocacy group is skeptical of this claim and thinks that the mean gas mileage, of all Camrys may be less than 26 mpg. The group plans to perform the hypothesis test at sigma = 0.05, using a sample of 30 Camrys.H0: u=26 mpg Ha: u<26 mpg. Find the probability of making a Type II error if the true mean mpg of all Camrys is 25.8 mpg. Assume that gas mileages of Camrys are normally distributed with a standard deviation of 1.4 mpg.In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose a = 2.4 and ß = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.) at most 250 less than 250 more than 300 0.74310 0.74310 0.12183 (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) 6032 (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.) hr