2. Medical research has concluded that people experience a common cold roughlytwo times per year. Assume that the time between colds is normally distributedwith a mean of 160 days and a standard deviation of 40 days.a. What is the probability of going 180 or more days between colds?b. What is the probability of going 240 or more days?c. What is the probability of going 240 or less days?

GivenMean(μ)=160standard deviation(σ)=40

Answered: 2. Medical research has concluded that…

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…
The rent for a one-bedroom apartment in Wooster is a normally distributed random variable with a mean of $500 and a standard deviation of $50. a. What is the probability that the rent for a one-bedroom apartment will be between $460 and $540? b. Determine the maximum rent of the lowest 20% of all apartments. c. If the rents for 1000 one-bedroom apartments are at least $510, how many one-bedroom apartments are in Wooster?
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 Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $840 and a standard deviation of $260. Assume that the balances on all these Visa cards follow a normal distribution.a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1050 and $1420?Round your answer to three decimal places.P= Enter you answer in accordance to the item a) of the question statementb. What percentage of the Visa cards issued by this bank have a balance of $735 or more?Round your answer to two decimal places.P= Enter you answer in accordance to the item b) of the question statement %
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6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
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Which answer is it?
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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