g) What is the approximate probability M is between 3.111 and 3.112? h) What is the approximate probability that T is within 2 standard deviations of its expected value?
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g) What is the approximate
h) What is the approximate probability that T is within 2 standard deviations of its
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- Assume that the returns from an asset are normally distributed. The average annual return for this asset over a specific period was 17.1 percent and the standard deviation of those returns in this period was 41.7 percent. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What about triple in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 6 decimal places, e.g., 32.161616.)The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 33 and a standard deviation of about 12. 1. Suppose one individual is randomly chosen. Find the probability that the individual normally consumes between 27 and 38 fat calories per day. o What distribution will you use to calculate this probability? N( 33 12 o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. -0.5,0.42, o There is a 0.3543 x chance that the individual normally consumes between 27 and 38 calories per day. 2. Suppose that 20 individuals are randomly chosen. Find the probability that they normally consume an average of between 27 and 38 calories per day. o What distribution will you use to calculate this probability? N( o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a chance that the 20 individuals normally…Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
- Assume that the probability of a being born with Genetic Condition B is π=π=14/15. A study looks at a random sample of 173 volunteers.Find the most likely number of the 173 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let XX represent the number of volunteers (out of 173) who have Genetic Condition B. Find the standard deviation for the probability distribution of XX. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers. ? Round your answer to one decimal place.usual values =Q2) In a local puncher shop, the bolt of a Tyre is normally distributed, with a mean of 0.82 cm and a standard deviation of 0.04 cm. What is the probability that the bolt will exceed 0.86 cm ? (Round your answer to three decimal places.)Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) a) ? = 111; ? = 15 P(x ≥ 90) = b) ? = 51; ? = 17 P(40 ≤ x ≤ 47) =
- The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2987 and standard deviation 509. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( ? , ? )b. Find the probability that the customer consumes fewer than 2608 calories. c. What proportion of the customers consumed more than 3240 calories?The average THC content of marijuana sold on the street is 10.3%. 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 12.3. c. Find the 62nd percentile for this distribution.
- The mean of a normal probability distribution is 440, the standard deviation is 8 a. About 68% of the observations le between what two values? Value 1 Value 2 b. About 95% of the observations lie between what two values? V1 Valum 3 c. Practically all of the observations le between what two values? Va 1 Value 2= Assume that the probability of a being born with Genetic Condition B is p sample of 291 volunteers. 29/30. A study looks at a random Find the most likely number of the 291 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 291) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =The average yearly consumption of water per person in Lebanon is 120 liters with a standard deviation o. Suppose that the yearly consumption of water follow a normal distribution. Find o if the probability that the Lebanese people need more than 200 liters per year is equal to 0.2296. 64.9 O None of these O 108.1 O 87.72
