The daily number of orders filled by the parts department of a repair shop is a random variable with u = 142 and o = 12. The %3D probability can we assert that on any one day it will fill between 82 and 202 orders is at least
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- A random sample is one on which theTrains arrive at a major train-station randomly and independently; the probability of an arrival is the same for any two time intervals of equal length. The mean arrival rate is 4 trains per hour. What is the probability that 8 trains will arrive during any given hour of operation?Suppose x is a uniform random variable with values ranging from 40 to 90. Find the probability that a randomly selected observation exceeds 55.
- 3. A robot is going to attempt the same task 100 times. Each time it tries, it will either succeed or fail to succeed in completing the task. Say the robot does not learn from its tries, so each attempt at the task is independent of the others. On a given attempt, the probability of the robot succeeding is 0.85. Let X be the random variable of the number of times this robot is able to succeed in completing the task. part 1. What is the probability that the robot succeeds less than or equal to 80 times? (it is only for part a; no need to show work) a. Use the compliment rule to reduce the number of operations needed in part 1. Find another way to compute the needed probability. b. Now say two robots are going to attempt the same task. The robots operate independently from one another. What is the probability that both robots succeed less than or equal to 80 times out of 100? c. Now say the single robot begins to learn the more it tries. That is to say, it gets better at succeeding at…What is the probability that a randomly selected rating is more than 3 stars? P(X>3)?The probability of getting a credit in an examination is 1/3. If three students are selected at random, what is the probability that at least one of the students got credit? 8/27 1/3 2/3 19/27
- A survey showed that 75% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 10 adults are randomly selected, find the probability that at least 9 of them need correction for their eyesight. Is 9 a significantly high number of adults requiring eyesight correction? The probability that at least 9 of the 10 adults require eyesight correction is ____ (Round to three decimal places as needed) Is 9 a significantly high number of adults requiring eyesight correction? Note that a small probability is one that is less than 0.05. A. Yes, because the probability of this occurring is small. B. No, because the probability of this occurring is small. C.Yes, because the probability of this occurring is not small. D. No, because the probability of this occurring is not small.Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?
- A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 20 adults require eyesight correction is (Round to three decimal places as needed.)The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 58 81 No 240 607 If two different pedestrian deaths are randomly selected, find the probability that they both involved drivers that were intoxicated.The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x=2.3 insect fragments per ten-gram portion. What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 2.3 P(x≥2.3)= (Round to four decimal places as needed.)