A flooring company sells carpet by the metre off of a standard sized roll. The mean amount of carpetsold per month is known to have a normal distribution. If the probability of selling more than 1,000metres per month is 0.0668 and the standard deviation is 100 metres, what is the mean amount ofcarpet sold?90011001150850The amount of coffee poured into a large coffee cup at the campus Tim Horton's has a distribution thatis skewed to the right with a mean of 600 ml and a standard deviation of 50 ml. For a random sample of100 large cups poured, what is the mean of the sampling distribution?5060010050√100

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
The electric bills for all households in a large city have the normal distribution with a mean of $68 per month and a standard deviation of $10. Find the probability that an electric bill is greater than $70.
Internet Service Providers The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50 and the standard deviation is $20. The distribution is not Normal: many households pay a low rate as part of a bundle with phone or television service, but some pay much more for Internet only or for faster connections. A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x be the mean amount paid. 1. Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds $55. 2. What are the mean and standard deviation of the sampling distribution of x ? 3. What is the shape of the sampling distribution of x ? Justify your answer. 4. Find the probability that the average fee paid by the sample of households exceeds $55.
A population is normally distributed with a mean of 20. What is the population standard deviation if you know 18% of the values are less than a value of 15
Normal Distribution Calculator: http://onlinestatbook.com/2/calculators/normal dist.html 2. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. a. Label the horizontal axis appropriately on the Normal curve at right. b. Find the probability that the student earned fewer than 75 points. c. Find the probability that the student earned at least 70 points. 48 58 68 78 88 98 108 d. Find the probability that the student earned between 80 and 90 points. Shade the appropriate area in the figure, and then determine the proportion. e. Find the probability that the student earned either less than 80 points or more than 90 points.
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
Cars on I-40 have a mean speed of 73 MPH at a certain mile marker, with a standard deviation of 8 MPH. What Percentage of Cars averaged at least 78 mph?
One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $3. Complete parts (a) through (c) below. Between what two values will the middle 95% of the amounts of cash spent fall?
Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 90. Find the z-score corresponding to this value. OA. -1.33 OB. 1.33 OC. 0.67 O D. -0.67 C
A distribution has mean 100 and standard deviation 3. What is the largest percent of the data that is guaranteed to be between 40 and 160 93.75 96 97.44 99.75 99.99
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The heights of women follow a normal distribution with a mean height of 63.7, and a standard deviation in height of 2.9 in. What height separates the shortest 5% of women from the rest. Round your result to 1 decimal place. 68.5 inches 65.4 inches None of these 58.9 inches -1.6 inches

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