MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- 3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.arrow_forwardA. If 75% of high school students are able to pass a stats test, find the mean, variance, and standard deviation for the number of students who pass the test in a sample of 150 students. B. What is the probability that just you will not pass this test, if all 22 students take the test?arrow_forward5. Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied. a. Approximate the probability that more than 40 weigh more than 20 pounds. b. Approximate the probability that 35 or fewer weigh more than 20 pounds. c. Approximate the probability that the number who weigh more than 20 pounds is G 20arrow_forward
- 6.12, pleasearrow_forwardFind the probability that the proportion of the sampled adults who drink coffee daily is between .57 and .63arrow_forwardAccording to Reader's Digest, 37% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 390 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p) .37 (to 2 decimals) .0227 (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer - This is because the increase in the sample size makes the standard error, o Select your answer -arrow_forward
- 2. An actuary studied the likelihood that diff rent types of drivers would be involved in at least one collision during any one-year period. The results of the study are presented below. Probability of at least one Туре of driver Percentage of all drivers collision Teen 8% 0.15 Young adult Midlife 16% 0.08 45% 0.04 Senior 31% 0.05 Given that a driver has been involved in at least one collision in the past year, what is the probability that the driver is a young adult driver?arrow_forwardIn a recent year, a fact sheet for the state of Pennsylvania stated that 72.6% of all public high school seniors were planning to attend college the next year. If an SRS of 400 public high school seniors in Pennsylvania were surveyed, what is the probability that the sample proportion who are going to college next year will be within 3 percentage points of the true value? a. mean b. standard devaition c. large count condition d. Using table Aarrow_forward
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