s in a carpet tend to occur randomly and independently at a rate of one every 300 square feet. What is the probability that a carpet that is 9 feet by 12 feet ains no flaws?
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- The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal placesIf a fair die is rolled once, what is the probability of getting a number less than five? Question 29Select one: a. 5/6 b. 1/2 c. 1/6 d. 2/3The probability that a box contains a large particle is 0.1. What is the probability that 2nd large particle is found exactly on the 18th box?
- What is the probability that zz is greater than −0.25The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30 minutes. The rectangle with area 1 below depicts this. The area of the shaded rectangle is the probability that a mechanic finishes the oil change between 20.19 minutes and 27.68 minutes. Find the area of the shaded rectangle. Round your answer to 4 decimal places (if possible).At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.
- in a quiet group of eight people, the probability of one person starting to speak is 1/3. What is the probability that the number of people speaking is greater than six?If you roll a normal 6 sided die what would be the theoretical probability of rolling a 1 or a 2.Please answer each of the questions in each of the items and refer to its instructions. I-Use the histogram to find the probability: 1. that a person selected at random from the survey's sample had a test score of less than four. 2. that a person selected at random from the survey's sample had a test score of less than four but greater than or equal zero. II- Answer if it's discrete or continuous. 1. the number of automobile accidents per year in Lagro. 2. the length of time to play 18 holes of golf. 3. the weight of grain produced per acre.
- If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 57 seeds are planted. What is the distribution of X? Please show the following answers to 4 decimal places. What is the probability that exactly 24 seeds grow into healthy plants? What is the probability that at most 24 seeds grow into healthy plants?Suppose that you test each product whether it conforms to the standards or not. The probability of failure is 0.15. Find the probability of number of tests you need to conduct being equal to 10 until you find the 1th failure?The number of work accidents that occur per week in a mine follows Poisson's law so that the probability of 2 accidents occurring is equal to 3/2 of the probability of an accident occurring. Calculate the probability that the time for the first accident to occur is one week.