The lengths of a particular animal's pregnancies are approximately normally distributed, with mean mu = 273 days and standard deviation sigma = 16days(a) What proportion of pregnancies lasts more than 281 days?(b) What proportion of pregnancies lasts between 253 and 285 days?(c) What is the probability that a randomly selected pregnancy lasts no more than 265 days(d) A very preterm" baby is one whose gestation period is less than 233 days. Are very preterm babies unusual? The lengths of a particular animal's pregnancies are approximately normally distributed, with mean \( \mu = 273 \) days and standard deviation \( \sigma = 16 \) days.- (a) What proportion of pregnancies lasts more than 281 days?- (b) What proportion of pregnancies lasts between 253 and 285 days?- (c) What is the probability that a randomly selected pregnancy lasts no more than 265 days?- (d) A "very preterm" baby is one whose gestation period is less than 233 days. Are very preterm babies unusual?Below are the questions with placeholders for the answers:(a) The proportion of pregnancies that last more than 281 days is \(\rule{2cm}{0.15mm}\).(Round to four decimal places as needed.)(b) The proportion of pregnancies that last between 253 and 285 days is \(\rule{2cm}{0.15mm}\).(Round to four decimal places as needed.)(c) The probability that a randomly selected pregnancy lasts no more than 265 days is \(\rule{2cm}{0.15mm}\).(Round to four decimal places as needed.)(d) The probability of a “very preterm” baby is \(\rule{2cm}{0.15mm}\). This event \(\rule{2cm}{0.15mm}\) unusual because the probability is \(\rule{2cm}{0.15mm}\) than 0.05.(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 mu = 273 days and standard deviation sigma = 16days

(a) What proportion of pregnancies lasts more than 281 days?

(b) What proportion of pregnancies lasts between 253 and 285 days?

(d) A very preterm" baby is one whose gestation period is less than 233 days. Are very preterm babies unusual?

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean \( \mu = 273 \) days and standard deviation \( \sigma = 16 \) days.

- (a) What proportion of pregnancies lasts more than 281 days?
- (b) What proportion of pregnancies lasts between 253 and 285 days?
- (c) What is the probability that a randomly selected pregnancy lasts no more than 265 days?
- (d) A "very preterm" baby is one whose gestation period is less than 233 days. Are very preterm babies unusual?

Below are the questions with placeholders for the answers:

(a) The proportion of pregnancies that last more than 281 days is \(\rule{2cm}{0.15mm}\).
(Round to four decimal places as needed.)

(b) The proportion of pregnancies that last between 253 and 285 days is \(\rule{2cm}{0.15mm}\).
(Round to four decimal places as needed.)

(c) The probability that a randomly selected pregnancy lasts no more than 265 days is \(\rule{2cm}{0.15mm}\).
(Round to four decimal places as needed.)

(d) The probability of a “very preterm” baby is \(\rule{2cm}{0.15mm}\). This event \(\rule{2cm}{0.15mm}\) unusual because the probability is \(\rule{2cm}{0.15mm}\) than 0.05.
(Round to four decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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