Compare the probability distribution for rolling a single 6-sided die to the probability distribution for the mean of two 6-sided dice (draw the histograms).
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- In probability theory, rolling a die is considered to be an experiment. What is the term that corresponds to the possibility that the die shows the number 2? a. A probability of 2. b. A possible outcome. c. A normal distribution. d. A number.A standard pair of six sided dice is rolled. What is the probability of rolling sum greater than or equal to five? Express your answer as a fraction or a decimal number rounded to four decimal places.The table below shows the results of a survey about a junk food tax. Support Oppose Unsure Male 184 363 16 Female 291 358 28 A person is selected at random from the sample. What is the probability that a person opposes the tax or is female? Your answer should be a decimal (not a percent) correct to three decimal places.
- A recent survey reported that 47% of 18- to 29-year-olds in a certain country own tablets. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? Use the binomial distribution.A hotel manager believes that 10% of the hotel rooms are booked. If the manager is accurate, what is the probability that the proportion of rooms booked in a sample of 454 room would be greater than 9%? Round four decimal places.Consider the probability that exactly 89 out of 149 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 61 % . Approximate the probability using the normal distribution. Round your answer to four decimal places.
- A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 44? Express your answer as a fraction or a decimal number rounded to four decimal places.A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.1%. What is the probability that in a random sample of 490 headache sufferers, less than 59.3% obtain relief? Probability =The table below shows the results of a survey about a junk food tax. Support Oppose Unsure Male 116 370 14 Female 289 389 25 A person is selected at random from the sample. What is the probability that the person is male and supports the tax? Your answer should be a decimal (not a percent) correct to three decimal places.
- The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 2. We are interested in the number of dandelions in this region.(a) Find the probability of no dandelions in a randomly selected area of 1 square meter in this region. (Round your answer to four decimal places.)(b) Find the probability of at least one dandelion in a randomly selected area of 1 square meter in this region. (Round your answer to four decimal places.)
