The joint probability distribution is a probability distribution that defines the simultaneous behavior of at least one random variable. True False
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Q: Faked numbers in tax returns, invoices, or expense account claims often display patterns that aren't…
A: The probability distribution of a randomly chosen legitimate record X for short.
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- A kicker for a football team makes field goals 85% of the time when kicking from the 20-yard line. Assume that field-goal attempts can be considered random events. Using the table, what is the probability that the placekicker will make at least 4 of his next 5 attempts from the 20-yard line? 3 4 0.138 Field Goal Probability 0.00008 0.002 0.024 0.392 0.392 0.444 0.556 0.836A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 12%. It is estimated that 0.18% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = % The probability that, given a positive result, the person has disease X = %Customers arrive at a restaurant at a random rate of 9 per hour. A customer arrives at 12.00 p.m. What is the probability that the next customer arrives before 12.30 p.m.
- In a game of craps, you roll two fair dice. Whether you win or lose depends on the sum of the numbers occurring on the tops of the dice. Let x be the random variable that represents the sum of the numbers on the tops of the dice. (a) What values can x take on? (b) What is the probability distribution of these x values (that is, what is the probability that x = 2, 3, etc.)? (Enter the probabilities in ascending order of the x values. Round your answers to three decimal places.)More insurance claims Refer to Exercise 2. Sup- pose that the insurance company charges $300 for each policy. What is the probability that the insurance company will make money on a random sample of 1000 homeowners? That is, what is the probability that the mean loss for a random sample of homeowners is less than $300? Insurance claims An insurance company claims that in the entire population of homeowners, the mean annual loss from fire is u= $250 with a stan- dard deviation of o $5000. The distribution of losses is strongiy right-skewed: Many policies have $0 loss, but a few have large losses. Describe the shape of the sampling distribution of x for SRSS of size n = 15 from the population of homeowners. Justify your answer. Describe the shape of the sampling distribution of x for SRSS of size n = 1000 from the population of homeowners. Justify your answer. PS %3D %3D @mirian 8Google it: According to a recent report, 67% of Internet searches in a particular month used the Google search engine. Assume that a sample of 20 searches is studied. Round the answers to at least four decimal places. Español Part 1 of 4 (a) What is the probability that exactly 15 of them used Google? The probability that exactly 15 of them used Google is 5 B 19 Part 2 of 4 (b) What is the probability that 10 or fewer used Google? The probability that 10 or fewer used Google is Part 3 of 4 (c) What is the probability that more than 15 of them used Google? The probability that more than 15 of them used Google is X Ś 4 of 4 (d) Would it be unusual if fewer than 8 used Google? It (Choose one) ▼be unusual if fewer than 8 used Google since the probability is Check Submit Assignment X S 5 Save For Later
- Faked numbers in tax returns, invoices, or expense account claims often display patterns that are not present in legitimate records. Some patterns like too many round numbers, are obvious and easily avoided by a clever crook. Others are more subtle. It is a striking fact that the first digits of numbers in legitimate records often follow a model known as Benford's law. Call the first digit of a randomly chosen legitimate record X for short. The probability distribution for X is shown here (note that a first digit can't be 0). E(X) = 3.441. First digit x; Probability Pi 1 0.301 2 0.176 3 0.125 What is the standard deviation of X? Interpret this value. 4 0.097 5 0.079 6 0.067 7 0.058 8 0.051 9 0.046 ox=2.462. The first digit of a randomly chosen record will typically vary from 2.462 by about 3.441. ox= 6.0605. The first digit of a randomly chosen record will typically vary from the mean (3.441) by about 6.0605. ox= 6.0605. The first digit of a randomly chosen record will typically vary…"A _________ is a probability distribution of all possible values of a sample derived from samples of the same size, drawn from the same population. What is being defined here? That is, what term should fill in the blank?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?