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3. X is normally distributed with...
For following parts (a) and (b), show all your work and label your answer with appropriate...
For following parts (a) and (b), show all your work and label your answer with appropriate probability notation. (a) The random variable X N(H.o2). The lower quartile of X is 20 and the upper quartile ofXis 40. Find μ and σ2. (b) The time for an automated system in a warehouse to locate a part is normally distributed with mean 45 seconds and standard deviation 30 seconds. Suppose that independent requests are made for 10 parts. What is the probability...
The tensile strength, X, of a tungsten component is normally distributed with a mean of 546...
The tensile strength, X, of a tungsten component is normally distributed with a mean of 546 grams per square centimeter (gscm) and a standard deviation of 50 gscm. a)Calculate the variance of X/50 1 b) Calculate the variance of 5X 3. 6250 c) Calculate the probability that the tensile strength of a tungsten component is at least 500 gscm? .8212 d) What is the probability that X is within 1 standard deviation of its mean? 6827 e) What is the...
please show work. 2. Assume that SAT scores are normally distributed with meanu = 1060 and...
please show work.
2. Assume that SAT scores are normally distributed with meanu = 1060 and standard deviation o = 195. a. If one SAT score is selected at random, what is the probability that it is greater than 1500? b. If twenty SAT scores are selected at random, what is the probability that they have a mean greater than 1500?
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation o...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
please answer all parts. The BMI for female patients with Type II Diabetes is normally distributed...
please answer all parts.
The BMI for female patients with Type II Diabetes is normally distributed with a mean of 35.15 and standard deviation 5.76. a. We expect 68% of females with Type II Diabetes to have a BMI between and b. What is the probability that a randomly chosen woman with Type II Diabetes has a BMI less than 29.41? o probability c. What is the probability that a randomly chosen woman with Type II Diabetes has a BMI...
please answer all parts. Since 1900, the magnitude of earthquakes in California is approximately normally distributed...
please answer all parts.
Since 1900, the magnitude of earthquakes in California is approximately normally distributed with a mean of 6.21 and a standard deviation of 0.85, according to data obtained from the United States Geological Survey. a. What is the probability a randomly selected California earthquake has a magnitude of 6.9 or greater? o probability b. Earthquakes in the top 17% are categorized as severe. What magnitude corresponds to a severe earthquake magnitude-
please answer all parts. Since 1900, the magnitude of earthquakes in California is approximately normally distributed...
please answer all parts.
Since 1900, the magnitude of earthquakes in California is approximately normally distributed with a mean of 6.42 and a standard deviation of 1, according to data obtained from the United States Geological Survey. a. What is the probability a randomly selected California earthquake has a magnitude of 6.1 or greater? o probability b, Earthquakes in the top 23% are categorized as severe. What magnitude corresponds to a severe earthquake? o magnitude-
please answer all parts Since 1900, the magnitude of earthquakes in California is approximately normally distributed...
please answer all parts
Since 1900, the magnitude of earthquakes in California is approximately normally distributed with a mean of 6.27 and a standard deviation of 0.69, according to data obtained from the United States Geological Survey. a. What is the probability a randomly selected California earthquake has a magnitude of 5.9 or greater? o probability b. Earthquakes in the top 20% are categorized as severe. What magnitude corresponds to a severe earthquake? o magnitude
Normally Distributed Population
For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample of 50 is taken from the population, what is the probability that the sample mean will be greater than 36.5?
Let x be a continuous random variable that is normally distributed with a mean of 25...
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value: a) between 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
For following parts (a) and (b), show all your work and label your answer with appropriate probability notation. (a) The random variable X N(H.o2). The lower quartile of X is 20 and the upper quartile ofXis 40. Find μ and σ2. (b) The time for an automated system in a warehouse to locate a part is normally distributed with mean 45 seconds and standard deviation 30 seconds. Suppose that independent requests are made for 10 parts. What is the probability...
The tensile strength, X, of a tungsten component is normally distributed with a mean of 546 grams per square centimeter (gscm) and a standard deviation of 50 gscm. a)Calculate the variance of X/50 1 b) Calculate the variance of 5X 3. 6250 c) Calculate the probability that the tensile strength of a tungsten component is at least 500 gscm? .8212 d) What is the probability that X is within 1 standard deviation of its mean? 6827 e) What is the...
please show work.
2. Assume that SAT scores are normally distributed with meanu = 1060 and standard deviation o = 195. a. If one SAT score is selected at random, what is the probability that it is greater than 1500? b. If twenty SAT scores are selected at random, what is the probability that they have a mean greater than 1500?
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
please answer all parts.
The BMI for female patients with Type II Diabetes is normally distributed with a mean of 35.15 and standard deviation 5.76. a. We expect 68% of females with Type II Diabetes to have a BMI between and b. What is the probability that a randomly chosen woman with Type II Diabetes has a BMI less than 29.41? o probability c. What is the probability that a randomly chosen woman with Type II Diabetes has a BMI...
please answer all parts.
Since 1900, the magnitude of earthquakes in California is approximately normally distributed with a mean of 6.21 and a standard deviation of 0.85, according to data obtained from the United States Geological Survey. a. What is the probability a randomly selected California earthquake has a magnitude of 6.9 or greater? o probability b. Earthquakes in the top 17% are categorized as severe. What magnitude corresponds to a severe earthquake magnitude-
please answer all parts.
Since 1900, the magnitude of earthquakes in California is approximately normally distributed with a mean of 6.42 and a standard deviation of 1, according to data obtained from the United States Geological Survey. a. What is the probability a randomly selected California earthquake has a magnitude of 6.1 or greater? o probability b, Earthquakes in the top 23% are categorized as severe. What magnitude corresponds to a severe earthquake? o magnitude-
please answer all parts
Since 1900, the magnitude of earthquakes in California is approximately normally distributed with a mean of 6.27 and a standard deviation of 0.69, according to data obtained from the United States Geological Survey. a. What is the probability a randomly selected California earthquake has a magnitude of 5.9 or greater? o probability b. Earthquakes in the top 20% are categorized as severe. What magnitude corresponds to a severe earthquake? o magnitude
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value: a) between 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
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