Styles"Do You Understand?Do You Know How?1.?Essential Question How is experimentalprobability similar to and different fromtheoretical probability?In 4-6, complete each statement.Kelly flips a coin 20 times. The results are shown in thetable, where "H" represents the coin landing headsup and "T" represents the coin landing tails up.Answer:Flip12 3 45Result HT THH6 78 9 10FlipResult H H THTFlip11 12 13 14 15Result H TT2. Construct Arguments How can experimentalprobability be used to make predictions?Flip16 17 18 19 20ResultH.H.Answer:4. The theoretical probability that the coin will landheads up is5. Based on the data, the experimental probability3. Reasoning is experimental probability alwaysclose to theoretical probability? Explain.that the coin will land heads up isAnswer:6. The experimental probability istheoretical probability.than theINETAhpno

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Probability

1. Essential Question How is experimental probability similar to and different from theoretical probability? Answer:

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.)
The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.39 defects per vehicle. Suppose that we inspect 100 Volkswagen vehicles at random. (a) What is the approximate probability of finding at least 140 defects? (Round your z-value to 2 decimal places and your final answer to 4 decimal places.) probability:????????? (b) What is the approximate probability of finding fewer than 108 defects? (Round your z-value to 2 decimal places and your final answer to 5 decimal places.) probability:????????? (c-1)Use Excel to calculate the actual Poisson probabilities. (Round your answers to 5 decimal places.) at least 140 defects:????????? fewer than 180 defects:?????????? (c-2) How close were your approximations? multiple choice a)Quite different b)Fairly close c)Exactly the same
Jim is a 60-year-old male in reasonably good health. He wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until he is 65. The policy will expire on his 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th edition) X=age 60 61 62 63 64 P(death at this age) 0.01191 0.01292 0.01396 0.01503 0.011613 Jim is applying to Big Rock Insurance Company for his term insurance policy. What is the probability that Jim will die in his 60th year? Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance? Repeat part (a) for years 61, 62, 63, and 64. What would be the total expected cost to Big Rock Insurance over the years 60 through 64? If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Jim’s death, how much should it charge for the policy?…
A new boarding policy has been proposed by an airline. Frequent flyers and non-frequent flyers were asked for their opinions, and the results are summarized in the table shown here. Find the probability a person chosen at random from among the people surveyed favors the new policy and is a frequent flyer. Enter your answer correctly to two decimal places. Remember, a probability is expressed as a number between zero and one, inclusive. Opinion on Policy In Favor Of (A) Neutral (B) Opposed To (C) Frequent Fliers (D) 48% 23% 4% 75% Non-Frequent Fliers (E) 15% 3% 7% 25% 63% 26% 11% 100%
How can we calculate the probability of a particular event occurring given a set of conditions, and what are the different methods and tools available to analyze and interpret data in the context of probability theory? How can we use probability distributions to model real-world phenomena and make informed decisions in a variety of fields, from finance and insurance to healthcare and engineering?
Medical researchers have developed a test for a PKP2 gene mutation in humans (which significantly increases cardiac health risks. 1% of the population has this mutation. The test is 95% accurate le a 5% false negative rate and a 5% false positive rate What is the probability that a person has the mutation given that they tested positive? HINT use Bayes Theorem O AIN 0 61% 0.1% 0 14%
A disease affects 1 out of 10,000 people. There is a test to check whether a person has the disease. The test is accurate. In particular, we know the following: (a) The probability that the test result is positive given that the person does not have the disease, is only 2 percent. (b) The probability that the test result is negative given that the person has the disease, is only 1 percent. Question: A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?
Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition). x = age 60 61 62 63 64 P(death at this age) 0.00562 0.00842 0.00950 0.01065 0.01165 Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance? (b) Repeat part (a) for ages 61, 62, 63, and 64. Age Expected Cost 61 $ 62 $ 63 $ 64 $ What would be the total expected cost to Big Rock Insurance over the years 60 through 64? If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara's death, how much should it charge for the policy? If Big Rock Insurance Company charges $5000 for the policy, how much profit does the…