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.)

Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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

See similar textbooks

Related questions

Question

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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution