MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Assume the random variable X is normally distributed with mean 50 and standard deviation of 7. What is the 86th percentile?arrow_forwardLeave all probabilities as percentages, define x on all problems with data. Simple random samples of high interest (8.9%) and low interest (6.3%) mortgages were obtained. For the 40 high interest mortgages, the borrowers had a mean FICO credit score of 594.8 and a standard deviation of 12.2. For the 40 low interest mortgages, borrowers had a mean FICO credit score of 785.2 and a standard deviation of 16.3. Use an alpha level of 0.01, and a two tailed test of hypothesis to test the claim that the mean FICO score borrowers with a high interest mortgage is the same as the mean FICO score of borrowers with the low interest mortgage.arrow_forwardThe time required to roast a duck may be taken to have a normal distribution with a mean of 45 minutes and standard deviation 12 minutes. The time required to roast a chicken may be taken to have an independent normal distribution with mean 30 minutes and standard deviation 8 minutes. Assume that the oven can only roast one poultry at one time. 0.338 One duck is chosen at random. Find the probability that at least 50 minutes will be required to roast it. (ii) Three randomly chosen ducks are roasted successively in random order. Find the probability that each of them requires more than 45 minutes to roast. 0.15arrow_forward
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !arrow_forwardAssume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of 97.9 and a standard deviation of 24.8. Find the probability that a randomly selected adult has an IQ greater than 135.8. The probability that a randomly selected adult from this group has an IQ greater than 135.8 is?arrow_forward
- Assume that blood pressure readings are normally distributed with a mean of 122 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 124.arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?arrow_forwardAssume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.arrow_forward
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