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Blanca Edith Valdez De Sanchez

Blanca E.

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A survey found that $21 \%$ of Americans watch fireworks on television on July 4 . Find the mean, variance, and standard deviation of the number of individuals who watch fireworks on television on July 4 if a random sample of 1000 Americans is selected.

A survey found that $21 \%$ of Americans watch fireworks on television on July 4 . Find the mean, variance, and standard deviation of the number of individuals who watch fireworks on television on July 4 if a random sample of 1000 Americans is selected.

Elementary Statistics a Step by Step Approach

Discrete Probability Distributions

The Binomial Distribution
Assume all variables are binomial. (Note: If values are not found in Table B of Appendix $A,$ use the binomial formula. Multiple-Choice Exam A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to occur? Explain your answer.

Assume all variables are binomial. (Note: If values are not found in Table B of Appendix $A,$ use the binomial formula. Multiple-Choice Exam A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to occur? Explain your answer.

Elementary Statistics a Step by Step Approach

Discrete Probability Distributions

The Binomial Distribution
Assume all variables are binomial. (Note: If values are not found in Table B of Appendix $A,$ use the binomial formula. Belief in UFOs A survey found that $10 \%$ of Americans believe that they have seen a UFO. For a sample of 10 people, find each probability: a. That at least 2 people believe that they have seen a UFO b. That 2 or 3 people believe that they have seen a UFO c. That exactly 1 person believes that he or she has seen a UFO

Assume all variables are binomial. (Note: If values are not found in Table B of Appendix $A,$ use the binomial formula. Belief in UFOs A survey found that $10 \%$ of Americans believe that they have seen a UFO. For a sample of 10 people, find each probability: a. That at least 2 people believe that they have seen a UFO b. That 2 or 3 people believe that they have seen a UFO c. That exactly 1 person believes that he or she has seen a UFO

Elementary Statistics a Step by Step Approach

Discrete Probability Distributions

The Binomial Distribution
Dice Game A person pays $2 to play a certain game by rolling a single die once. If a 1 or a 2 comes up, the person wins nothing. If, however, the player rolls a 3, 4, 5, or 6, he or she wins the difference between the number rolled and $2. Find the expectation for this game. Is the game fair?

Dice Game A person pays $2 to play a certain game by rolling a single die once. If a 1 or a 2 comes up, the person wins nothing. If, however, the player rolls a 3, 4, 5, or 6, he or she wins the difference between the number rolled and $2. Find the expectation for this game. Is the game fair?

Elementary Statistics a Step by Step Approach

Discrete Probability Distributions

Mean, Variance, Standard Deviation, and…

Questions asked

ANSWERED

Luke Humphrey verified

Numerade educator

The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 55 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.68 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 55 individuals will be 1.68 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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ANSWERED

Eduard Sanchez verified

Numerade educator

A worldwide organization of academics claims that the mean IQ score of its members is 115, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 116.8. If the organization's claim is correct, what is the probability of having a sample mean of 116.8 or less for a random sample of this size? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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ANSWERED

Eduard Sanchez verified

Numerade educator

Kira is a civil engineer working for the city of Indianapolis on a pr oject to widen some of its downtown streets. One aspect that she has to consider is that, during the hot summer months, the noonday temperature of the asphalt on these streets can get extremely hot. For the project, she models these temperatures of the asphalt using a normal distribution with a mean of 108 °F and a standard deviation of 16 °F. Use a standard normal table or a calculator to find the percentage of noonday temperatures of the asphalt between 104 °F and 132 °F according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%) 53.19% 53.18% 53.20% None of the above

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ANSWERED

Eduard Sanchez verified

Numerade educator

A psychologist has designed a questionnaire to measure individuals' aggressiveness. Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 80. Suppose also that exactly 10% of the scores exceed 800. Find the mean of the distribution of scores. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

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ANSWERED

Eduard Sanchez verified

Numerade educator

Calcium levels in people are normally distributed with a mean of 9.5 mg/dL and a standard deviation of 0.5 mg/dL. Individuals with calcium levels in the bottom 5% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.

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ANSWERED

Eduard Sanchez verified

Numerade educator

Manuel, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Manuel models the boulders' weights using a normal distribution with a mean of 556 kg and a standard deviation of 100 kg. Use a standard normal table or a calculator to find the percentage of boulders that weigh less than 520 kg or more than 592 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). 71.88% 71.89% 71.87% None of the above

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ANSWERED

Tim Thornhill verified

Numerade educator

An aptitude test is designed to measure the leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 550 and a standard deviation of 120. The individuals who exceed 780 on this test are considered to be potential leaders. What proportion of the population are considered to be potential leaders? Round your answer to at least four decimal places.

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ANSWERED

Robin Corrigan verified

Numerade educator

thoughtful Solved!

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ANSWERED

Donna Densmore verified

Numerade educator

10. Alternate Sources of Fuel. Seventy-seven percent of Americans favor spending government money to develop alternative sources of fuel for automobiles. For a random sample of 215 Americans, find the mean, variance, and standard deviation for the number who favor government spending for alternative fuels.

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ANSWERED

Sheryl Ezze verified

Numerade educator

9. Watching Fireworks. A survey found that 37% of Americans watched fireworks on television on July 4, 2020. Find the mean, variance, and standard deviation of the number of individuals who watch fireworks on television on that day if a random sample of 2200 Americans is selected.

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