assume that X is normally distributed with a mean 180 and standard deviation of 56. find the probability that (A) x is less then 115and (B) x is grater then 154
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A: 1] Mean =90 standard deviation =16 2] mean =116 standard deviation =20
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assume that X is
find the probability that
(A) x is less then 115and
(B) x is grater then 154
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- The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 4 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. 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 person with a kidney stone will take longer than 9 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 70 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. d. 87% of all cars travel at least how fast on the freeway? mph.Assume that females have pulse rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of e- 12.5 beats per minute. Complete parts (e) through (c) below a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute The probability is 5048 (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is (Round to four decimal places as needed.)
- Today, the waves are crashing onto the beach every 5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 2 seconds after the person arrives is P(x = 2) = The probability that the wave will crash onto the beach between 0.4 and 2.9 seconds after the person arrives is P(0.4 < x < 2.9) = The probability that it will take longer than 1.5 seconds for the wave to crash onto the beach after the person arrives is P(x > 1.5) = Suppose that the person has already been standing at the shoreline for 1.3 seconds without a wave crashing in. Find the probability that it will take between 2.7 and 4.8 seconds for the wave to crash onto the shoreline. 27% of the time a person will wait at least how long before the wave crashes in?…Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 45 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 338 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feetThe percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 35 and a standard deviation of 10. 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 31. c. Find the minimum number for the lower quarter of percent of fat calories.
- Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?The mean amount of time it takes a kidney stone to pass is 16 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. 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 person with a kidney stone will take longer than 12 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.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.
- Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…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:Assume that IQ scores of Red Sox fans are normally distributed with the mean of 63.6 in a standard deviation of 2.5 if 90 Red Sox fans are randomly selected by the probability that they have a mean IQ score of 62.9 and 64.