The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u 278 days and standard deviation o 16 days.(a) What proportion of pregnancies lasts more than 290 days?(b) What proportion of pregnancies lasts between 274 and 286 days?(c) What is the probability that a randomly selected pregnancy lasts no more than 258 days?(d) A "very preterm" baby is one whose gestation period is less than 254 days. Are very preterm babies unusual?(a) The proportion of pregnancies that last more than 290 days is(Round to four decimal places as needed.)(b) The proportion of pregnancies that last between 274 and 286 days is(Round to four decimal places as needed.)(c) The probability that a randomly selected pregnancy lasts no more than 258 days is(Round to four decimal places as needed.)(d) The probability of a "very preterm" baby isThis eventunusual because the probability isthan 0.05(Round to four decimal places as needed.)Enter your answer in each of the answer boxes.Type here to searchASUS

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Answered: The lengths of a particular animal's…

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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a sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the size of the English class. What is the probability the class was between 30 and 40?
a sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the size of the English class. What is the probability the class will have greater than 40?
Human pregnancies of healthy singleton fetuses (i.e., excluding pregnancies with early-term complications or miscarriages, and multiple births) are normally distributed with a mean of 266 days and a standard deviation of 13 days. What is the probability that a baby is born between 250 and 275 days? If we stipulate that a baby is premature when born at least 3 weeks early, what is the probability a randomly selected baby is premature? If we stipulate that a baby is overdue when born more than 2 weeks after the expected date, what is the probability a randomly selected baby is overdue?
The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950? 0.4878 0.9756 0.9878 0.5122
A particular fruit's weights are normally distributed, with a mean of 501 grams and a standard deviation of 29 grams. If you pick one fruit at random, what is the probability that it will weigh between 550 grams and 602 grams?
Men's heights are approximately normally distributed with mean 70 inches and standard deviation 1.9 inches. In what range is the probability that a randomly chosen man is under 5' 7" (that is, 67 inches)? [Select] 4 What is the probability that a random sample of ten men have average height under 67 inches? [Select]
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.
2. A study propose the Weibull distribution (a = 2.0, B= 200) as a model for time to failure of solid insulating specimens subject to AC voltage. a) What is the probability that a specimen's lifetime is at least 250? Round your answer to four decimal places. b) What is the median time to failure? Round you answer to two decimal places.
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected utility bill is (a) less than $69, (b) between $87 and $100,and (c) more than $130.
A particular fruit's weights are normally distributed, with a mean of 336 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 269 grams and 303 grams?
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last between three (3) and five (5) years.

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