Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine P(X<9)
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- Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 40 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly hit fly ball travels less than 264 feet. Round to 4 decimal places.Assume a distribution with mean of 50 and a standard devivation of 12. For an x-value of 65, the z-score is . (two-decimal accuracy) For a z-score of -2.3, x = . (one-decimal accuracy)The average THC content of marijuana sold on the street is 10.4%. Suppose the THC content is normally distributed with a standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.3. c. Find the 75th percentile for this distribution. %
- Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 275 feet and a standard deviation of 35 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly hit fly ball travels less than 265 feet. Round to 4 decimal places.The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.9 days in recovery? e. What is the probability of spending between 2.4 and 3.3 days in recovery? f. The 85th percentile for recovery times is days. PLEASE ANSWERR ALLL QUESTIONS!! PLEASE STOP JUST ANSWERING 3 !!!Assume that the random variable X is normally distributed with mean = 1000 and standard deviation = 188. Let n = 18. Find P( < 947.4).
- The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 11. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possiblea. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected fat calorie percent is more than 41. c. Find the minimum number for the upper quarter of percent of fat calories.The annual cost of preschool in Camarillo is assumed to be normally distributed with a mean of $9,560, and standard deviation of $1,333. Let X be the annual tuition of a random selected preschool in Camarillo. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X ~NV 9560 1333 Round the following answers to three decimal places. If a Camarillo preschool is randomly chosen, find the probability that its annual tuition is beyond $10,893. 0.159 Round the following answers to the nearest integer. The mid-50% of the Camarillo preschool cost between Part 2 of 3 If a Camarillo preschool is randomly chosen, find the probability that its annual tuition is between $8,227 and $10,227. 0.533 and Part 3 of 3The factory produces a certain type of sunblock. each barrel with the sunblock has some impurities in it. let the random variable X be the amount in grams of impurities in a given barrel. the mean of X is 6.50 grams with standard deviation 1.50g. a random sample of 50 barrels is collected and the average amount impurities per barrel is measured what is the approximate probability that this sample mean is less than 7.00g? use the z- table Round the answer to the nearest hundredth.
- Define two random processes by X (1) = A cos (@nt+ 0) Y (t) = Z (t) · cos (@, t + 0), where A, on are real positive constants, and 0 is a random variable independent of Z (t) which is a random process with a constant mean Z. Show that the cross spectral density. A Zn 2 regardless of the form of the Pdf of 0. Sxy (m) = (Co +0)g + (m - 0)g]Assume that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees.(a) Between 0 and 1.64: (b) Between −2.89 and 0: (c) Between −1.78 and 1.03: (d) Less than −2.79: (e) Greater than 2.62:The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.8. c. Find the 79th percentile for this distribution. %