MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.5 inches.arrow_forwardA random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the probability that X is less than 75.arrow_forwardThe speed of cars driving on Route 1 is normally distributed with a mean of 60 mph and a standard deviation of 5 mph. What is the probability that a sample of 90 cars will have a mean speed of at least 60.527? 0.8413 0.1587 O 0.3413 0.6826 0.3174arrow_forward
- Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 520 and a standard deviation of 210. The supermarket is open 12 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 7400? (Hint: Calculate the average hourly number of customers necessary to exceed 7400 in one 12-hour day.)arrow_forwardAssume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.arrow_forwardA normal distribution has a mean of 34 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given intervalarrow_forward
- The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10. If a January day in Columbus is randomly selected, what is the probability that the high temperature is between 15 and 25 degrees?arrow_forwardAssume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.arrow_forwardAssume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?arrow_forward
- STA 215arrow_forwardIf the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters with a standard deviation of 2.4 cm, use pnorm() to find the probability that the sample mean length is equivalent to the sample mean of our random sample or larger. random sample mean= 36.82arrow_forwardAssume that the distribution of time spent on leisure activities by adults living in household with no young children is normally distributed with a mean of 4.5 hours per day and a standard deviation of 1.3 hours per day. Find the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day.arrow_forward
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