A random variable follows binomial distribution with parameters n = 43 and p= 0.56 Find the mean and standard deviation?
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A random variable follows binomial distribution with parameters n = 43 and p= 0.56
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- Plese help with answering this practice problemThe average THC content of marijuana sold on the street is 9.7%.Suppose the THC content is normally distributed with a standard deviation of 2%.Let X be the THC content for a randomly selected bag of marijuana that is sold on the street.Round 4 decimal places when possible. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.9 Find the 62nd percentile for this distributionCheck the problem and identify if there is an error in the solution. There is a chance the solution may be correct. Calculator is allowed.
- A5PLS ANSWEREspañol According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 51 months. A researcher for a consumer advocate group tests this by selecting 90 bulbs at random. For the bulbs in the sample, the mean lifetime is 52 months. It is known that the population standard deviation of the lifetimes is 7 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, µ, of light bulbs made by this manufacturer differs from 51 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. |(Choose one) D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) Orandom sample of 10 subjects have weights with a standard deviation of 10.9919 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.Systolic blood pressure readings are normally distributed with a mean of 121 and standard deviation of 15. If a person from the population was selected at random, find the probability that their blood pressure is in the acceptable range (between 114 and 140) for an athletic activity. A. Label and shade the normal distribution curve to model this problem.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 236 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. Part (a) If X =average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X ____, ________,_______ ~ . Part (b) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. Part (c) Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft †Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean 194.55 standard deviation 94.78 X X (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) 0.6576 X (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.18 m/h and 10% travel more than 73.24 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) 20.7891 11.617 mean standard deviation (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) 0.006 x (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) 0.00001SEE MORE QUESTIONS
