GDE1ParagraphJ2..Standard Normal Distribution TableCA(i) less than $175P(X < 175)5The average daily rate of a hotel in Canada as of August 2018 was $172.85. Assume theaverage daily rate follows a normal distribution with a standard deviation of $26.60.0a. What is the probability that the average daily rate of a Canadian hotel will be:(ii) more than $210P(X> 210)(iii) Between $145 and $190P (145< X <190) = 008318StylesD5I b. Determine the average daily rates that separate the:(i) top 4% of average daily rates from the rest of the daily rates or from thebottom 96% of average daily rates$0.00I=Round to 2 decimal places.(ii) bottom 10% of average daily rates from the rest of the daily rates$0.00 E+-(iii) iddle 65% of average daily rates from the rest of the daily rates$0.00 <<$0.00 ERound to 2 decimal places.I

GivenMean(μ)=172.85standard deviation(σ)=26.60

Answered: The average daily rate of a hotel in…

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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In the first quarter of 2017, the average mortgage for first time buyers was R910,000. Assuming a normal distribution and a standard deviation of R50,000. What proportion of mortgages were between R890,000 and R990,000 (rounded off to three decimals)? A. 0.601 B. 0.345 C. 0.945 D. 1.600
Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
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The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. For the following questions: 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.
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The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or 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. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before____days are considered premature. (Round to the nearest integer as needed.)
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