The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ =251 days and standard deviation o=8 days.(a) What proportion of pregnancies lasts more than 255 days?(b) What proportion of pregnancies lasts between 249 and 253 days?(c) What is the probability that a randomly selected pregnancy lasts no more than 241 days?(d) A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual?Click the icon to view a table of areas under the normal curve.(a) The proportion of pregnancies that last more than 255 days is(Round to four decimal places as needed.)***

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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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The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 277 days and standard deviation o = 8 days. (a) What proportion of pregnancies lasts more than 289 days? (b) What proportion of pregnancies lasts between 275 and 281 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 267 days? (d) A "very preterm" baby is one whose gestation period is less than 257 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 289 days is (Round to four decimal places as needed.)
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 256 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 271 days? (b) What proportion of pregnancies lasts between 251 and 261 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 221 days? (d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 271 days is 0.2266 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 251 and 261 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 221 days is. (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm…
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean µ = 88 tons and standard deviation o = 0.9 ton. (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 19 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No Suppose the weight of coal in 19 cars selected at random had an average x of less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation…
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?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean µ = 277 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 302 days? (b) What proportion of pregnancies lasts between 252 and 287 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 242 days?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean µ=251 days and standard deviation o=8 days. (a) What proportion of pregnancies lasts more than 255 days? (b) What proportion of pregnancies lasts between 249 and 253 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 241 days? (d) A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 255 days is 0.3085 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 249 and 253 days is 0.1974. (Round to four decimal places as needed.) ACCE (c) The probability that a randomly selected pregnancy lasts no more than 241 days is 0.1056 (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than days. Are very…
A student's commute to school is normally distributed with a mean of 29 min and a standard deviation of 4 min. What is the probability that the student gets to school in 21 to 29 min? (Round your answer to one decimal place.)
The weights of truffles follow a normal distribution, with a mean weight of 347 grams and a standard deviation of 15.3 grams. When out truffle hunting, what is the probability that of finding a single truffle that is 300 grams or less? More than 370? between 300 and 370 grams?
The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 20 and standard deviation 7. What is the probability that the temperature on a random January day in Columbus is below 10 degrees?
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.
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 278 days and standard deviation o = 12 days. (a) What proportion of pregnancies lasts more than 284 days? (b) What proportion of pregnancies lasts between 269 and 281 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 263 days? (d) A "very preterm" baby is one whose gestation period is less than 251 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 284 days is (Round to four decimal places as needed.)

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