Let X be a random variable corresponding to the number of shoppers that enter a mall at a given time of the day. It X is known to be a Poisson variable with an average of 10 shoppers per minute, determine the probability that there are 12 shoppers who will enter the mall in the next 90 seconds. Select the correct response: 0.1024 0.0829 0.0956 0.1298
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- Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 97.9 ft and a standard deviation of 5.4 ft.A tree of this type grows in my backyard, and it stands 86 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<86)P(X<86) = My neighbor also has a tree of this type growing in her backyard, but hers stands 112.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.P(X>112.5)P(X>112.5) = Enter your answers as decimals accurate to 4 decimal places.The table summarizes results from 984 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 58 82 No 286 558 If one of the pedestrian deaths is randomly selected, find the probability that neither the pedestrian nor the driver was intoxicated. Please enter a decimal to 4 places. Probability =The battery life of a mobile device is uniformly distributed between 9 to 12 hours. Find the probability that the battery life will be between 10.5 and 11.5 hours.
- Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .The table summarizes results from 980 pedestrian deaths that were caused by automobile accidents. Driver Intoxicated? Pedestrian Intoxicated? Yes No Yes 60 69 No 238 613 If one of the pedestrian deaths is randomly selected, find the probability that both the pedestrian and the driver were intoxicated. Please enter a decimal to 4 places.
- 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.) ...Assume that when human resource managers are randomly selected, 54% say job applicants should follow up within two weeks. If 7 human resource managers are randomly selected, find the probability that at least 4 of them say job applicants should follow up within two weeks. The probability is. (Round to four decimal places as needed.)Assume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.0905 (Round to four decimal places as needed.)
- Be a cafeteria with only one attendant. The rate of customer arrivals follows a Poisson process with an average of 10 customers per hour. The service time is exponentially distributed with an average time of 4 minutes. What is the probability of forming a queue, the average queue length and the average waiting time in the queue?The table summarizes results from 985 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 42 72 No 273 598 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Please enter a decimal to 4 decimal places. Probability= =Let ? be the amount of time (in minutes) a postal clerk spends with his or hercustomer. The time is known to have an exponential distribution with the average amount of timeequal to four minutes.i) Find the probability that a clerk spends four to five minutes with a randomly selected customer.ii) Find the probability that a clerk spends at least five minutes with a randomly selected customer.