1. The average amount of calories from a hamburger served in a restaurant in 220 per order with a standard deviation of 30 calories. What is the probability that the mean calories from 20 orders is between 220 and 240 saleries?
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- 3. The alkalinity level of water specimens collected from a certain river is approximately distributed as normal with a mean of 50 miligrams per liter and a standard deviation of 2.5 miligrams per liter. i. Find the probability that a water specimen collected from the river has an alkalinity level below 54 miligrams per liter. ii. If a sample of 20 specimens are collected from the river, what is the probability that the mean alkalinity level is between 49.5 and 51.5 miligrams per liter? AnswerOn a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 107 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual.b. Find the probability that a randomly selected person's IQ is over 94. Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 4% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.d. Find the 25th and 75th percentiles (a.k.a Q1 and Q3) Round your answers to 2 decimal places.Q1: Q3:The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. b. Find the probability that this American man consumes between 9.3 and 9.9 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium?Low: High:
- A. Solve the following. Show your complete solution. 1. Say that you will have to wait for a bus. Assume that the amount of waiting time is normally distributed between 0 and 15 minutes. Suppose that the mean time of a person is 8 minutes and the standard deviation is 1.8. What is the probability that you will wait for less than 12.5 minutes? 2. The length of time between charges of the battery of laptops is normally distributed with a mean of 45 hours and a standard deviation of 12 hours. Fiel owns one of these laptops and wants to know the probability that the length of time will be between 50 and 70 hours. 3. The length of life of an ordinary flashlight produced by a company has a normal distribution with a mean of 36 months and a standard deviation of 5 months. Find the probability that the flashlight produced by the company will last (a) more than 18 months, (b) between 17 and 32 months.On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual.b. Find the probability that a randomly selected person's IQ is over 108. Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:The daily electric consumption of two houses were recorded. House A has consumes 375W (mean) the standard deviation is 15W. While House B uses 250W (mean), the standard deviation is 22W. 1. Find the probability for each house that the electric usage will not exceed 400W.2. Find the probability that both houses will exceed 400W in usage.3.Given the probability of 0.02, how much electricity must House B consume to avoid exceeding?
- Evpte. If the probability of a defective bolt is 0.1, find Ta) the mean (b) the standard deviation for the distribution of defective bolts in a total of 400.a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228
- 1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.The Boeing 157-200 ER aircraft carries 200 passengers and has doors with a height of 72 inches. Male heights are normally distributed with a mean of 67.4 inches and a standard deviation of 3.8 inches. 1. If a male passenger is selected at random, find the probability that he can pass through the door without leaning over. Enter your answer to four decimal places. 2. If half of the 200 passengers are men, find the probability that the average height of the 100 men is less than 72 inches. Enter your answer to four decimal places.Customers stay on average 16 minutes in line before they can get into a certain store. The standard deviation is 4 minutes, and you should assume this normally distributed. a. Find the probability that a randomly picked individual will wait between 10 and 20 minutes. b. What proportion of waiting time falls above 24 min or below 6 min?
