The lengths of a particular animal's pregnancies are approximately normally distributed, with mean = 271 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 306 days? (b) What proportion of pregnancies lasts between 266 and 276 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 246 days? (d) A "very preterm" baby is one whose gestation period is less than 221 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 306 days is 0.0400. (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 266 and 276 days is 0.1974. (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 246 days is 0.1056. (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than 221 days. Are very preterm babies unusual? The probability of this event is (Round to four decimal places as needed.) so it V be unusual because the probability is than 0.05,

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean = 271 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 306 days? (b) What proportion of pregnancies lasts between 266 and 276 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 246 days? (d) A "very preterm" baby is one whose gestation period is less than 221 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 306 days is 0.0400. (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 266 and 276 days is 0.1974. (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 246 days is 0.1056. (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than 221 days. Are very preterm babies unusual? The probability of this event is (Round to four decimal places as needed.) so it V be unusual because the probability is than 0.05,

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

Q: During my office hours (from 12pm to 6pm), an average of about 1 student per hour comes in for help.…

A: Given, During my office hours (from 12pm to 6pm), an average of about 1 student per hour comes in…

Q: The fares received by Uber Drivers working in the City line are normally distributed with a mean of…

A: Let X be a continuous random variable of fares received by Uber Drivers working in the City line are…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Given: mean μ=66 standard deviation σ=1.3

Q: The weight of IKEA furniture has a mean of 90 lbs and a standard deviation of 15 lbs. We randomly…

A: X~N(μ=90,σ=15), n=80

Q: A manufacturer claims that the life span of its tires is 48.000 miles, You work for a consumer…

A: Given that, Let, X be life spans of tires A manufacturer claims that life span of tires is 48000…

Q: (a) What is the probability that one car chosen at random will have less than 71.5 tons of coal?…

A: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

Q: The lifetime of a certain type of battery is normally distributed with mean value 10 hours and…

A: Let X be the random variable from normal distribution with mean (μ)= 10, standard deviation (σ) = 3…

Q: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55…

A: given data normal distribution μ = 55σ = 6

Q: The life of a Radio Shack record player is normally distributed with a mean of 4 years and a…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Given that: Population mean, μ=65 Population standard deviation, σ=1.5

Q: oal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: The mean is 81 tons and the standard deviation is 1.4 tons.

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Solution

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

Q: The mean weight gain during pregancy is 30 pounds with standard deviation 12.9 pounds. Weight gain…

A: Suppose the random variable x defines weight gain during pregnancy.

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Mean(µ) = 81Standard deviations (σ) = 1.6X ~ N (µ, σ )= N(81, 1.6)

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: We know that if; X~Normal(μ,σ2) Then; Z=X-μσ~Normal(0,1) X1,X2,...,Xn~Normal(μ,σ2), independently…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Let X be the random variable from normal distribution with mean (μ) = 50, standard deviation (σ) =…

Q: A lawyer commutes daily from his suburban home to his office. The average time for a one-way trip is…

A: Given : A lawyer commutes daily from his suburban home to his office. The average time for a one-way…

Q: Test scores for all students are normally distributed with a mean of 78 points and a standard…

Q: The length of human pregnancies from conception to birth is approximately Normal with mean 266 days…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Let X denote the actual weights of coal loaded into each car are normally distributed, with mean μ=…

Q: What is the probability that one car chosen at random will have less than 56.5 tons of coal? (Round…

Q: a sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Given that ; Mean = 53 tons S. D = 1.3 tons By using standard normal distribution.

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Questic
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean µ= 271 days and standard deviation o = 20 days.
(a) What proportion of pregnancies lasts more than 306 days?
(b) What proportion of pregnancies lasts between 266 and 276 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 246 days?
(d) A "very preterm" baby is one whose gestation period is less than 221 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 306 days is 0.0400.
(Round to four decimal places as needed.)
(b) The proportion of pregnancies that last between 266 and 276 days is 0.1974.
(Round to four decimal places as needed.)
(c) The probability that a randomly selected pregnancy lasts no more than 246 days is 0.1056.
(Round to four decimal places as needed.)
(d) A "very preterm" baby is one whose gestation period is less than 221 days. Are very preterm babies unusual?
The probability of this event is , so it
be unusual because the probability is
than 0.05.
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Check Answer
MAY
吕口
F3
esc
F8
F9
F10
FIT
FI
F2
F4
F5
F6
F7
%23
2$
&
2
3
4
6
7
Q
E
R
T
Y
* 00
....
00
00
00

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The weights of a certain breed of dogs follow a normal distribution with a mean of 30 pounds and a standard deviation of 5 pounds. If a random sample of 25 dogs is selected, what is the probability that their average weight is between 28 and 32 pounds? The monthly returns on a stock follow a normal distribution with a mean return of 2% and a standard deviation of 4%. What is the probability that the stock has a negative return in any given month? The lifetimes of a certain brand of lightbulb are normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the probability that a randomly selected lightbulb will last more than 1100 hours?
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 65 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 65 tons and standard deviation ? = 1.7 ton. (a) What is the probability that one car chosen at random will have less than 64.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 37 cars chosen at random will have a mean load weight x of less than 64.5 tons of coal? (Round your answer to four decimal places.)
A study indicates that 18 to 24-year olds spend a mean of 135 minutes watching video on their smartphones per month. Assume that the amount of time watching video on a smartphone per month is normally distributed and that the standard deviation is 10 minutes. What is the probability that an 18- to 24-year-old spends less than 130 minutes watching video on his or her smartphone per month? (please show me how you got the answer)
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Assume domestic airfares are normally distributed with a standard deviation of $110.(1) What is the probability that a domestic airfare is $550 or more? 2) What is the probability that a domestic airfare is $250 or less?3) What is the probability that a domestic airfare is between $300 and $500? 0.6325(4) What is the cost for the 3% highest domestic airfares?
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 90 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 90 tons and standard deviation ? = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 89.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 39 cars chosen at random will have a mean load weight x of less than 89.5 tons of coal? (Round your answer to four decimal places.)
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 62 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 62 tons and standard deviation ? = 0.5 ton. (a) What is the probability that one car chosen at random will have less than 61.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 45 cars chosen at random will have a mean load weight x of less than 61.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 45 cars selected at random had an average x of less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
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 74 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 74 tons and standard deviation ? = 1.9 ton. (a) What is the probability that one car chosen at random will have less than 73.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 50 cars chosen at random will have a mean load weight x of less than 73.5 tons of coal? (Round your answer to four decimal places.)
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 69 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 69 tons and standard deviation ? = 1.5 ton. (a) What is the probability that one car chosen at random will have less than 68.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 46 cars chosen at random will have a mean load weight x of less than 68.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 46 cars selected at random had an average x of less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
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 54 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 54 tons and standard deviation ? = 1.4 ton. (a) What is the probability that one car chosen at random will have less than 53.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 26 cars chosen at random will have a mean load weight x of less than 53.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 53.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 26 cars selected at random had an average x of less than 53.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation…
The lengths of a particular animal's pregnancies are approximately normally distributed with a mean of 275 days and standard deviation of 20 days. What is the probability that a randomly selected pregnancy lasts no more than 240 days?