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- The arrival of an item ordered in Amazon is assumed to follow the exponential distribution with parameter λ. On average, the item is expected to arrive in 2 days. Calculate λ. What is the probability that you will receive the item within the first 24 hours? What is the probability that the item will arrive late after 5 days?Consider a cohort of patients receiving an experimental two-year treatment for a serious disease. Suppose that only 20% of the patients survive to the end of the second year. Assume CFM (constant force of mortality) within each year of treatment. Find the probability that a patient who survives the first four months dies by the end of the 20th month. Round to 4 decimal places.An article in Quality Engineering presents viscosity data from a batch chemical process. A sample of these data is in the table. Reading left to right and up to down, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot. Consider that the first 40 observations (the first 4 columns) were generated from a specific process, whereas the last 40 observations were generated from a different process. Does the plot indicate that the two processes generate similar results? Calculate the sample mean and sample variance of the first 40 and the second 40 observations.
- The time (in years) after reaching age 60 that it takes an individual to retire is approximately exponentially distributed with a mean of about 6 years. Suppose we randomly pick one retired individual. We are interested in the time after age 60 to retirement. Find the probability that the person retired after age 70. (Round your answer to four decimal places.) In a room of 1,000 people over age 82, how many do you expect will NOT have retired yet? (Round your answer to the nearest whole number.) ch5#4A certain type of storage battery lasts, on average, µ=3.0 years with o= 0.5. Assuming that the battery lives are normally distributed, find the probability that a given battery will last less than 2.3 years.As a data analyst, I received requests at a rate of 1 every 25 minutes, exponentially distributed. Determine the probability that the interval between succeedingmessages is more than 1 hour
- Solve it correctly please.The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?Use the exponential distribution to determine the probability of the failure of a vacuum tube component after 2000 hours given that they last on average for 3000 hours. Round your answer to four decimal places.
- Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 1.97 days (note that times are measured continuously, not just in number of days). A random sample of 52 shipments are selected and their shipping times are observed. Approximate the probability that the average shipping time is less than 1.67 days. Enter your answer as a number accurate to 4 decimal places. Submit Question Chp -> % 7 8. 60 口 5 %24 %23 3mThe life X (in hours) of a battery in constant use is a random variable with exponential density. What is the probability that the battery will last more than 12 hours (h) if the average life is 8 h?The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?