According to one study, brain weights of men are normally distributed with a mean of 1.30 kg and a standard deviation of 0.15 kg. Use the data to answer parts (a) through (e).Click here to view page 1 of the table of areas under the standard normal curve.Click here to view page 2 of the table of areas under the standard normal curve.(iype integers of decimais rounded to joui decimai piaces asS needed.)c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below.А.В.С.OD.n = 12РорPopn= 3n = 3n= 3n = 12n= 12n = 12n= 3РорРор1.31.31.31.3d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg. Interpret your answer in terms of sampling error.9.56 %(Round to two decimal places as needed.)This is the percentage that the sampling error made in estimatingthe mean brain weight of all menby that of the population of all men will be at most 0.1 kg.e. Repeat part (d) for samples of size 12.The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg is %.(Round to two decimal places as needed.)This is the percentage that the sampling error made in estimatingby that ofwill be0.1 kg. The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below.Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled.a. Determine the probability that the sum of the dice is 12.The probability that the sum of the dice is 12 is 0.028 .(Type an integer or a decimal. Round to three decimal places as needed.)6. Determine the probability that the sum of the dice is odd.The probability that the sum of the dice is odd is 0.500.(Type an integer or a decimal. Round to three decimal places as needed.)c. Determine the probability that the sum of the dice is 5 or 3.The probability that the sum of the dice is 5 or 3 is(Type an integer or a decimal. Round to three decimal places as needed.)

Given Information: There are 36 equally likely outcomes when two balanced dice are rolled. Total possible outcomes is 36 Probability of an event is given by the formula: PE=favorable outcomesTotal possible outcomes (a) Determine the probability that the sum of the dice is 12: Favourable outcomes is 6, 6 = 1 outcome So, required probability is obtained as: PSum 12=136=0.02777777778≈0.028 (b) Determine the probability that the sum of dice is odd: Favourable outcomes are: 1,2 1,4 1,6 2,1 2,3 2,5, 3,2 3,4 3,6 4,1 4,3 4,5 5,2 5,4 5,6 6,1 6,3 6,5 = 18 Required probability is obtained as follows: POdd=1836=0.5 Thus, probability that the sum of dice is odd is 0.5 (c) Determine the probability that the sum of the dice is 5 or 3: Favourable outcomes for sum of 5 are: 1,4 2,3 3,2 4,1=4 Favourable outcomes for sum of 3 are: 1,2 2,1=2 Required probability is obtained as follows: PSum 5 or Sum 3=PSum 5+PSum 3=436+236=636=0.167 Thus, probability that the sum of the dice is 5 or 3 is 0.167 Since, there are multiple questions, we have solved one question for you. To get remaining questions solved please repost the complete question and mention the parts to be solved.

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"he accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. . Determine the probability that the sum of the dice is 12. he probability that the sum of the dice is 12 is 0.028 . Type an integer or a decimal. Round to three decimal places as needed.) . Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is 0.500 . Type an integer or a decimal. Round to three decimal places as needed.) . Determine the probability that the sum of the dice is 5 or 3. The probability that the sum of the dice is 5 or 3 is. Type an integer or a decimal. Round to three decimal places as needed.)

"he accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. . Determine the probability that the sum of the dice is 12. he probability that the sum of the dice is 12 is 0.028 . Type an integer or a decimal. Round to three decimal places as needed.) . Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is 0.500 . Type an integer or a decimal. Round to three decimal places as needed.) . Determine the probability that the sum of the dice is 5 or 3. The probability that the sum of the dice is 5 or 3 is. Type an integer or a decimal. Round to three decimal places as needed.)

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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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

According to one study, brain weights of men are normally distributed with a mean of 1.30 kg and a standard deviation of 0.15 kg. Use the data to answer parts (a) through (e).
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
(iype integers of decimais rounded to joui decimai piaces asS needed.)
c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below.
А.
В.
С.
OD.
n = 12
Рор
Pop
n= 3
n = 3
n= 3
n = 12
n= 12
n = 12
n= 3
Рор
Рор
1.3
1.3
1.3
1.3
d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg. Interpret your answer in terms of sampling error.
9.56 %
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
the mean brain weight of all men
by that of the population of all men will be at most 0.1 kg.
e. Repeat part (d) for samples of size 12.
The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg is %.
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
will be
0.1 kg.

The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below.
Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled.
a. Determine the probability that the sum of the dice is 12.
The probability that the sum of the dice is 12 is 0.028 .
(Type an integer or a decimal. Round to three decimal places as needed.)
6. Determine the probability that the sum of the dice is odd.
The probability that the sum of the dice is odd is 0.500.
(Type an integer or a decimal. Round to three decimal places as needed.)
c. Determine the probability that the sum of the dice is 5 or 3.
The probability that the sum of the dice is 5 or 3 is
(Type an integer or a decimal. Round to three decimal places as needed.)

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