Use your calculator to determine the probabilities. State what you put in for the lower limit,...
Use your calculator to determine the probabilities. State what you put in for the lower limit, upper limit, mean and standard deviation.
1. Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.5 inches. Find the percentage of trees having a diameter greater than 11 inches
2.White blood cell (WBC) count per cubic millimeter of whole blood follows approximately a Normal distribution with mean 7500 and standard deviation of 1750. What percentage of people have WBC between 7500 and 8500?
3. Lifetimes of a certain brand of tires is approximately normally distributed with mean 40,500 miles and standard deviation 3,500 miles. What percentage of tires will last more than 50,000 miles?
4. The incomes of a set of factory workers happen to be normally distributed. The average income is $53,000 and the standard deviation is $5,000
- What is the probability that a randomly selected employee makes more than $55,000?
- What is the probability that the average of 4 randomly selected employees makes more than $55,000
- What is the probability that the average of 12 randomly selected employees makes more than $55,000?
Homework Answers
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Use your calculator to determine the probabilities. State what
you put in for the lower limit,...
A grocery stores studies how long it takes customers to get through the speed check lane....
A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than 10 minutes, the customer will be upset. Find the probability that a randomly selected customer takes more than 10 minutes if the average is 7.45 minutes with a standard deviation of 1.04 minutes. 0.007 0.071 0.993 0.501 The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and...
Please answer the following question: Truck tire life is normally distributed with a mean of 60,000...
Please answer the following question:
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. a) What is the probability that a tire will last 72,000 miles or more? b) For a set of four tires, what is the probability that the average tire life is less than 55,000 miles? c) For a set of four tires, what is the probability that the average tire life is between 57,000 and 63,000...
1) The lengths of pregnancies of humans are normally distributed with a mean of 268 days...
1) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days. 2) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. 3) An airline knows from experience that the distribution of the number...
Please show work and any calculator functions if available. Answer= . 0.0116 The annual amounts of...
Please show work and any calculator functions if available. Answer= . 0.0116 The annual amounts of snowfall in a Rocky mountain pass are normally distributed with a mean of 49.2 inches and a standard deviation of 11.5 inches. What is the probability that the mean annual amount of snowfall during 9 randomly selected years will be less than 40.5 inches? (Central Limit Theorem)
The lifetime of a certain brand of tires is approximately normally distributed, with a mean of...
The lifetime of a certain brand of tires is approximately normally distributed, with a mean of 45,000 miles and a standard deviation of 2,500 miles. The tires carry a warranty for 40,000 miles.(Show work please) What proportion of the tires will fail before the warranty period? What proportion of the tires will fail after the warranty expires, but before they have lasted for 41,000 miles? Suppose a sample of 100 randomly selected tires are tested, what is the probability that...
Question 1 (1 point) Full time PhD students receive an sverage of $12,837 a year. If...
Question 1 (1 point) Full time PhD students receive an sverage of $12,837 a year. If the average salaries are normally distributed with a standard deviation of $1,500 find these probabilities: a. The student makes more than $15,000 b. The student makes between $13,000 and $14,000 Question 2 (1 point) The mean number of miles driven per vehicle annuallyin the U.S is 12,494 miles. Choose a randomly selected vehicle, and assume mileage is normally distributed with a standard deviation of...
1. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a. What ...
all questions. Do not round
answers
1. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a. What percentage of scores is between 55 and i 15? b. In a group of 20,000 randomly selected individuals, how many have an IQ score of 130 or more? 2. A Honda Civic has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 33 mpg and a standard deviation of...
Using excel!!!!!!!!! H. Use the Central Limit Theorem to find the probability below: 22. Your lumber...
Using excel!!!!!!!!!
H. Use the Central Limit Theorem to find the probability below: 22. Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts lumber to a mean length of 8 ft. (96 in.) with a standard deviation of 0.5 inch. Assume the lengths are normally distributed. You randomly select 40 boards and find that the mean length is 96.25 inches. a) What is the probability that mean of...
Question 12 pts The length of time a person takes to decide which shoes to purchase...
Question 12 pts The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual? Group of answer choices Probability is 0.88, which is usual as it is greater than 5% Probability is 0.12, which is usual as it is not...
A) The diameters of pencils produced by a certain machine are normally distributed with a mean...
A) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be between 0.21 and 0.29 inches? B) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a...
Please answer the following question:
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. a) What is the probability that a tire will last 72,000 miles or more? b) For a set of four tires, what is the probability that the average tire life is less than 55,000 miles? c) For a set of four tires, what is the probability that the average tire life is between 57,000 and 63,000...
1) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days. 2) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. 3) An airline knows from experience that the distribution of the number...
Question 1 (1 point) Full time PhD students receive an sverage of $12,837 a year. If the average salaries are normally distributed with a standard deviation of $1,500 find these probabilities: a. The student makes more than $15,000 b. The student makes between $13,000 and $14,000 Question 2 (1 point) The mean number of miles driven per vehicle annuallyin the U.S is 12,494 miles. Choose a randomly selected vehicle, and assume mileage is normally distributed with a standard deviation of...
all questions. Do not round
answers
1. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a. What percentage of scores is between 55 and i 15? b. In a group of 20,000 randomly selected individuals, how many have an IQ score of 130 or more? 2. A Honda Civic has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 33 mpg and a standard deviation of...
Using excel!!!!!!!!!
H. Use the Central Limit Theorem to find the probability below: 22. Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts lumber to a mean length of 8 ft. (96 in.) with a standard deviation of 0.5 inch. Assume the lengths are normally distributed. You randomly select 40 boards and find that the mean length is 96.25 inches. a) What is the probability that mean of...
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