Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as the probability of an arrival in any other one-minute period. Answer the following questions, assuming a mean arrival rate of 4 customers per minute. a. What is the probability of exactly 5 arrivals in a one-minute period? (to 4 decimals) b. What is the probability of at least 5 arrivals in a one-minute period? (to 4 decimals)

es The Internal Revenue Service is studying the category of charitable contributions. A sample of 25 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 25 returns, five had charitable contributions of more than $1,000. Four of these returns are selected for a comprehensive audit. a. The hypergeometric distribution is appropriate because it is Osampling a small population without replacement. O sampling a small population with replacement. O sampling a large population without replacement. b. What is the probability exactly one of the four audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.) Probability

1. You want to test to see if the claim is correct. A math teacher claims the probability that a person picked at random in Philadelphia is visiting the city is less than 40%.

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D C 247 Order Accurate 134 Order Not Accurate 34 14 If one order is selected, find the probability of getting food that is not from Restaurant A. A 330 40 B 280 59 The probability of getting food that is not from Restaurant A is (Round to three decimal places as needed.)

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40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...

The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people. Cause Deaths Passenger car occupant 13,100 Motorcycle driver 4,500 Tornado 553 Skydiving 56 c) What is the probability that you will die as a passenger car occupant next year? Make sure your answer is accurate to at least 2 significant figures (values after leading zeros) Question Help: DPost to forum

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