11. Three per cent of stampings are rejects. For a production run of 400, determine (a) the mean and standard deviation of the probability distribution, (b) the probability of obtaining 10 rejects
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11. Three per cent of stampings are rejects. For a production run of 400, determine
(a) the mean and standard deviation of the
(b) the probability of obtaining 10 rejects.
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- Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 75 and 78 mph. d. 82% of all cars travel at least how fast on the freeway?12. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 an d a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating between 200 and 275. Show work.57. Discuss the applications of Poisson distribution.
- The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,192. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 44,000 12,192 b. Find the probability that a randomly selected acre in the forest has fewer than 47,638 ants. c. Find the probability that a randomly selected acre has between 45,935 and 56,143 ants. d. Find the first quartile. ants (round your answer to a whole number)6. Assume that adults have IQ scores that are normally distributed with a mean of 98.4 and a standard deviation of 15.5. Find the probability that a randomly selected adult has an IQ greater than 119.5. Round to 4 decimal places.The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2987 and standard deviation 509. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( ? , ? )b. Find the probability that the customer consumes fewer than 2608 calories. c. What proportion of the customers consumed more than 3240 calories?
- average number of pounds of meat that a person consumes per year is 218pounds. Assume that the standard deviation is 26 pounds and the distribution is approximately normal. 1- Find the probability that a person selected at random consumes less than 224 pounds per year 2-1f a sample of 50 individuals is selected find the probability that the mean of the sample will be less than 224 pounds per yearThe amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2999 and standard deviation 589. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 2999 589 b. Find the probability that the customer consumes less than 2700 calories. c. What proportion of the customers consume over 3134 calories? d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? 4369 calories. (Round to the nearest calorie)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?
- The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2925 and standard deviation 594. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 2925 # b. Find the probability that the customer consumes fewer than 2583 calories. c. What proportion of the customers consumed more than 3117 calories? * E Question Help: Written Example Message instructor- Submit Question Jump to Answer $ 4 0 R DE F C % 5 ‒‒ Q Search ^ T 6 JL G B 594 4- & 7 4+ * N 8 o o H J YO ( K M Tio O h L ASuppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ? , ? )b. If one car is randomly chosen, find the probability that it is traveling more than 74 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 79 and 85 mph. Round to 4 decimal places.Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(Correct,Correct) b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 73 and 78 mph. d. 88% of all cars travel at least how fast on the freeway? mph.
