The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 4.A. What proportion of students consume more than 12 pizzas per month?Probability =B. What is the probability that in a random sample of size 12, a total of more than 96 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 12 students?)Probability =

The number of pizzas consumed per month by university students is normally distributed with a mean…

Answered: The number of pizzas consumed per month…

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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The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.5 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 36 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? Instructor tip - X a. The probability that someone consumed more than 36 gallons of bottled water is 0.3361 (Round to four decimal places as needed.) b. The probability that someone consumed between 30 and 40 gallons of bottled water is 0.2829 (Round to four decimal places as needed.) Use Excel functions or the normal probability applet: https://davidmlane.com/hyperstat/z_table.html c. The probability that someone consumed less…
About 73% of the residents in a town say that they are making an effort to conserve water or electricity. One hundred ten residents are randomly selected. What is the probability that the sample proportion making an effort to conserve water or electricity is greater than 78%? Interpret your result. Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pq n The probability is (Round to four decimal places as needed.)
4. The delivery time for all food orders at a fast food restaurant have a mean of 6.7 minutes and a standard deviation of 2.1 minutes. a. Assume a normal distribution and compute the probability that an order is delivered in less than 6 minutes. prob = b. Find the probability that the mean of 40 orders is less than 6 minutes. prob = c. Find the probability that serving 40 orders takes less than a total of 4.5 hours. prob = %3D
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days longer. b. If the length of pregnancy is in the lowest 2%then the baby is premature. Find the length that separates premature babies from those who are not Premature
The number of pizzas consumed per month by university students is normally distributed with a mean of 13 and a standard deviation of 2. Use Excel to answer the following questions: A. What proportion of students consume more than 15 pizzas per month? Probability = B. What is the probability that in a random sample of size 8, a total of more than 96 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 8 students?) Probability =
The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 41 gallons of bottled water? b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 41 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) d. 99.5% of people consumed less than (Round to two…
The number of pizzas consumed per month by university students is normally distributed with a mean of 7 and a standard deviation of 3. A. What proportion of students consume more than 8 pizzas per month? Probability = B. What is the probability that in a random sample of size 11, a total of more than 99 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 11 students?) Probability =
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Find the probability for a normal distribution
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Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

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