Which of the following is NOT a characteristic of a probability distribution? Group of answer choices The sum of probabilities of all outcomes is always equal to 1 It describes the variability within a sample. It provides information about the likelihood of each outcome. It assigns probabilities to all possible outcomes.

​A(n) ________ relates each possible outcome to its probability of occurrence.         A. frequency   B. probability distribution   C. coin toss   D. expected value

PRACTICE ANOTHER   Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 225 numbers from this file and r = 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1.   What is the value of the sample test statistic? (Round your answer to two decimal places.) ANSWER IS NOT 2.57   Find the P-value of the test statistic. (Round your answer to four decimal places.) ANSWER IS NOT 0.0102

Relax! A recent survey asked  1682  people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 113 1 184 2 336 3 251 4 318 5 234 6 151 7 35 8 60 Total 1682 Send data to Excel Consider these 1682 people to be a population. Let  X  be the number of hours of relaxation for a person sampled at random from this population.   Part 1 of 5     (a) Construct the probability distribution of  X . Round the answer to three decimal places. x 0 1 2 3 4 5 6 7 8 P ( x )                         Part 2 of 5     (b) Find the probability that a person relaxes more than  4  hours per day. The probability that a person relaxes more than  4  hours per day is…

Below is a partially complete probability model. Enter the probability for the final outcome. Outcome 3 3 3.5 6 Probability 0.35 0.2 0.15   Find the expected value of the probability model. Speak

Emergency Room Tests The frequency distribution shows the number of medical tests conducted on 30 randomly selected emergency room patients. Number of tests Number of performed patients 13 1 9 4 3 2 4 or more Send data to Excel Choose a patient at random. Find the following probabilities. Enter your answers as fractions or decimals rounded to 3 decimal places. Part: 0 / 5 Part 1 of 5 The probability that the patient had exactly 2 tests done is

Identify the proper distribution to use and then use it to find the indicated probability.   Note if any of the events could be termed “unusual.”  One out of every 100 tax returns that a tax auditor examines requires an audit. Find the probability that the first audit is the 25th tax return the auditor examines. Distribution type: ________________   Probability: ________________

K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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