STATS:DATA+MODELS-W/DVD
STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution
Check Mark

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

  • There are only two possible outcomes, success and failure, on each trial.
  • The probability of success, denoted as p, remains the same from trial to trial.
  • The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution
Check Mark

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution
Check Mark

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution
Check Mark

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution
Check Mark

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

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Chapter 16 Solutions

STATS:DATA+MODELS-W/DVD

Ch. 16 - 11. Sell! A car dealership sells an average of 5...Ch. 16 - 12. Passing on A large hospital has an average of...Ch. 16 - Telephone numbers A cable provider wants to...Ch. 16 - Serial numbers In an effort to check the quality...Ch. 16 - Component lifetimes Lifetimes of electronic...Ch. 16 - Website sales Suppose occurrences of sales on a...Ch. 16 - On time A Department of Transportation report...Ch. 16 - Lost luggage A Department of Transportation report...Ch. 16 - Hoops A basketball player has made 80% of his foul...Ch. 16 - Chips Suppose a computer chip manufacturer rejects...Ch. 16 - More hoops For the basketball player in Exercise...Ch. 16 - Chips ahoy For the computer chips described in...Ch. 16 - Customer center operator Raaj works at the...Ch. 16 - Cold calls Justine works for an organization...Ch. 16 - Blood Only 4% of people have Type AB blood. On...Ch. 16 - Color blindness About 8% of males are color-blind....Ch. 16 - Coins and intuition If you flip a fair coin 100...Ch. 16 - Roulette and intuition An American roulette wheel...Ch. 16 - Lefties Assume that 13% of people are left-handed....Ch. 16 - Arrows An Olympic archer is able to hit the...Ch. 16 - Lefties, redux Consider our group of 5 people from...Ch. 16 - More arrows Consider our archer from Exercise...Ch. 16 - Prob. 33ECh. 16 - Still more arrows Suppose the archer from Exercise...Ch. 16 - Prob. 35ECh. 16 - International students At a certain college, 6% of...Ch. 16 - Prob. 37ECh. 16 - Frogs A wildlife biologist examines frogs for a...Ch. 16 - And more tennis Suppose the tennis player in...Ch. 16 - Prob. 40ECh. 16 - Apples An orchard owner knows that he’ll have to...Ch. 16 - Frogs, part II Based on concerns raised by his...Ch. 16 - Lefties, again A lecture hall has 200 seats with...Ch. 16 - No-shows An airline, believing that 5% of...Ch. 16 - Prob. 45ECh. 16 - Prob. 46ECh. 16 - Prob. 47ECh. 16 - Bank tellers I am the only bank teller on duty at...Ch. 16 - TB Worldwide, tuberculosis is the number-one cause...Ch. 16 - Earthquakes Suppose the probability of a major...Ch. 16 - Prob. 51ECh. 16 - Prob. 52ECh. 16 - Prob. 53ECh. 16 - True-false A true–false test consists of 50...Ch. 16 - Prob. 55ECh. 16 - Prob. 56ECh. 16 - Prob. 57ECh. 16 - Prob. 58ECh. 16 - Prob. 59ECh. 16 - Quality control In an effort to improve the...Ch. 16 - Prob. 61ECh. 16 - Quality control, part 2 The cell phone...
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