QUESTION 43 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: Vhat grade is required to be in the bottom 20%? QUESTION 44 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What z-score is required to be in the top 40%? QUESTION 45 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What percentage of individuals have a z-score between -1 and 1.40? QUESTION 46 Click Save and Submit to sauve and submit. Click Save All Answers to save all answers.

QUESTION 43 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: Vhat grade is required to be in the bottom 20%? QUESTION 44 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What z-score is required to be in the top 40%? QUESTION 45 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What percentage of individuals have a z-score between -1 and 1.40? QUESTION 46 Click Save and Submit to sauve and submit. Click Save All Answers to save all answers.

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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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.

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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.

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Suppose we want to test whether or not the average SAT score at the University of Seychelles is significantly larger than the average SAT score at Vermont. Taking a random sample, we manage to get the following seven scores from Vermont students: Vermont: 1340 1500 1430 1440 1380 1470 1290 and the following nine scores from Seychelles students: Seychelles: 1540 1480 1390 1450 1440 1350 1520 1400 1600 Assuming that the standard deviation in SAT scores for students at Seychelles and Vermont is the same and equal to 77 points, test at the α=:05 significance level whether or not the average SAT score atthe University of Seychelles is larger than the average SAT score at Vermont.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 34 beats per minute significant?
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A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 49.1, with a standard deviation of 9.2. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. A) according to Chebysheva theorem, at least 36% of the scores lie between ? And ?. Rouen answer to 1 decimal. B) according to Chebyshev’s theorem, at least what perfect of the scores lie between 30.7 and 67.5 ?
7.
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The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?