Elementary Statistics (Text Only)
Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 6, Problem 1CQ

Explain why the following is not a probability distribution.

Chapter 6, Problem 1CQ, Explain why the following is not a probability distribution.

Expert Solution & Answer
Check Mark
To determine

To explain whether the given distribution is probability distribution.

Answer to Problem 1CQ

This is not a probability distribution as the sum of probabilities are not equal to 1.

Explanation of Solution

Given:

    x678910
    P(x)0.320.110.190.280.03

A distribution is considered as a valid probability distribution when sum of all the probability of all outcomes of an experiment is equal to 1.

Let’s check whether the sum of probability is one or not:

  =P(6)+P(7)+P(8)+P(9)+P(10)=0.32+0.11+0.19+0.28+0.03=0.93

Since the sum of all probabilities is not equal to 1, therefore, it is not a probability distribution.

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Chapter 6 Solutions

Elementary Statistics (Text Only)

Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - Prob. 32ECh. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - Prob. 36ECh. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - Fill in the value so that the following table...Ch. 6.1 - Fill in the missing value so that the following...Ch. 6.1 - Put some air in your tires: Let X represent the...Ch. 6.1 - Fifteen items or less: The number of customers in...Ch. 6.1 - Defective circuits: The following table presents...Ch. 6.1 - Do you carpool? Let X represent the number of...Ch. 6.1 - Dirty air: The federal government has enacted...Ch. 6.1 - Prob. 46ECh. 6.1 - Relax! The General Social Survey asked 1676 people...Ch. 6.1 - Pain: The General Social Survey asked 827 people...Ch. 6.1 - School days: The following table presents the...Ch. 6.1 - World Cup: The World Cup soccer tournament has...Ch. 6.1 - Lottery: In the New York State Numbers Lottery:...Ch. 6.1 - Lottery: In the New York State Numbers Lottery,...Ch. 6.1 - Craps: In the game of craps, two dice are rolled,...Ch. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Insurance: An insurance company sells a one-year...Ch. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - Prob. 8ECh. 6.2 - In Exercises 8-10, determine whether the statement...Ch. 6.2 - In Exercises 8-10, determine whether the statement...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - Prob. 14ECh. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - Prob. 16ECh. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - Prob. 18ECh. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - Prob. 26ECh. 6.2 - Take a guess: A student takes a true-false test...Ch. 6.2 - Take another guess: A student takes a...Ch. 6.2 - Your flight has been delayed: At Denver...Ch. 6.2 - Car inspection: Of all the registered automobiles...Ch. 6.2 - Google it: According to a report of the Nielsen...Ch. 6.2 - What should I buy? A study conducted by the Pew...Ch. 6.2 - Blood types: The blood type O negative is called...Ch. 6.2 - Coronary bypass surgery: The Agency for Healthcare...Ch. 6.2 - College bound: The Statistical Abstract of the...Ch. 6.2 - Big babies: The Centers for Disease Control and...Ch. 6.2 - High blood pressure: The National Health and...Ch. 6.2 - Prob. 38ECh. 6.2 - Testing a shipment: A certain large shipment comes...Ch. 6.2 - Smoke detectors: An company offers a discount to...Ch. 6.2 - Prob. 41ECh. 6.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Flaws in aluminum foil: The number of flaws in a...Ch. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Computer messages: The number of tweets received...Ch. 6.3 - Prob. 24ECh. 6.3 - Trees in the forest: The number of trees of a...Ch. 6.3 - Prob. 26ECh. 6.3 - Drive safely: In a recent year, there were...Ch. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6 - Explain why the following is not a probability...Ch. 6 - Find die mean of the random variable X with the...Ch. 6 - Refer to Problem 2. the variance of the random...Ch. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - At a cell phone battery plant. 5% of cell phone...Ch. 6 - Refer to Problem 9. 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