A certain military radar is set up at a remote site with no repair facilities. If (MTBF) of 200 h the radar is known to have a mean-time-between-failures find the probability that the radar is still in operation one week later when picked up for maintenance and repairs.
Q: The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current…
A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard…
A:
Q: ity of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for…
A: Value of n and r is missing so I have considered them by referring a similar question. Given: n=217…
Q: t is known to show an exponential distribution where the average lifespan of a type of CPU is nine…
A: Given data, the average lifespan of a type of CPU is nine years.
Q: A particular fruit's weights are normally distributed, with a mean of 555 grams and a standard…
A: A particular fruit's weights are normally distributed, with a mean of 555 grams and a standard…
Q: andomly draw a number from a very large data file, the probability of getting a number with "1" as…
A: The null and alternative hypotheses are: Ho: p = 0.301Ho:p=0.301 Ha: p &lt; 0.301Ha:p<0.301…
Q: Assume all the conditions of this test have been met. Using the p-value from the output, what can we…
A: Consider that µA, µB, µC, and µD, are mean life of four different battery brands, respectively. The…
Q: Assume the below life table was constructed from following individuals who were diagnosed with a…
A: Given the life table as Time in Years Number at Risk Nt Number of Deaths Dt Number Censored Ct…
Q: Gertrude boasts that the average talk time on her new cell phone is 15.2 hours. Suppose that her…
A: Given: Mean = 15.2 Consider, X be the random variable that follows the exponential distribution with…
Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…
A:
Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…
A:
Q: You work at the Quality Department of a photocopier manufacturer. After each over- haul, the time…
A: Introduction: Denote X as the amount of time in years between two consecutive overhauls. It is given…
Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225225 and the mean…
A: Given that variance = 225, mean = 590 Find the probability of a bulb lasting for at most 607?
Q: What is the probability that a shower will laast for more than 3 minutes . if a shower has already…
A: Given: Length of the shower is exponentially distributed with mean, 1θ=12
Q: The distribution of distances travelled in kilometres by patrons of a supermarket is known to follow…
A: Let X be the continuous exponential random variable with λ = 0.6 Then, We will find the probability…
Q: The life (in months) of a certain computer component is exponentially distributed with mean 5. Find…
A:
Q: Reliability testing of the new 2.0 liter Chevy automotive engine has resulted in a time to failure…
A: Given information: tmed=90,000 miless=0.60
Q: A test has been devised to measure a student's level of motivation during high school. The…
A: Denote X as the motivation scores on this test. It is given that X is normally distributed, with…
Q: A particular fruit's weights are normally distributed, with a mean of 656 grams and a standard…
A: Solution-: Let, X= be the particular fruit's weights Given: We find, P[mean weight will be…
Q: calcium levels in people are normally distributed with a mean of 9.6 MG and a standard deviation of…
A: X~N( μ , ?) μ=9.6 , ?=0.3 Z-score =( x - μ )/?
Q: The lifetime, in years, of a certain type of electrical switch has an exponential distribution with…
A:
Q: Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard…
A: SD = 120 hours99% = 99/100 = 0.99X = 925 hours
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Unlock instant AI solutions
Tap the button
to generate a solution
Click the button to generate
a solution
- The number of days between precipitation events during the fall season is modeled by an exponential distribution with mean 9.7. Compute the probability that the next inter-arrival time for precipitation events is more than 7 days. Use three decimal place accuracy.Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 95% of the bulbs die before 925 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. hoursPlease use excel formulas when possible: You have a device that uses a single battery, and you operate this device continuously, never turning it off. Whenever a battery fails, you replace it with a brand new one immediately. Suppose the lifetime of a typical batteryhas an exponential distribution with mean 205 minutes. Suppose you operate the device continuously for three days, making battery changes when necessary. Find the probability that you will observe at least 25 failures. (Hint: The number of failures is Poisson distributed.) In the previous problem, we ran the experiment for a certain number of days and then asked about the number of failures. In this problem, we take a different point of view. Suppose you operate the device, starting with a new battery, until you have observed 25 battery failures. What is the probability that at least 15 of these 25 batteries lived at least 3.5 hours? (Hint: Each lifetime is exponentially distributed
- A consumer group plans a comparative study of the mean life of four different brands of batteries. Ten batteries of each brand will be randomly selected and the time until the energy level falls below a pre-specified level is measured.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.) .It is known to show an exponential distribution where the average lifespan of a type of CPU is ten years. What is the probability that the company that leases the server for ten years will encounter a central processing unit failure within the period of use?
- The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.The type of battery in Jim's laptop has a lifetime (in years) which follows a Weibull distribution with parameters a = 2 and B = 4. The type of battery in Jim's tablet has a lifetime (in years) which follows an exponential distribution with parameter A = 1/4. Find the probability that the lifetime of his laptop battery is less than 2.5 years and that the lifetime of his tablet battery is less than 3.2 years. (Answer as a decimal number, and round to 3 decimal places).Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85. The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. The probability of surviving 1 year after being…
- Suppose that the annual rate of return for a common biotechnology stock is normally distributed with a mean of 5% and a standard deviation of 6%. Find the probability that the one-year return of this stock will be positive. Round your answer to at least four decimal places.A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed, the mean time to repair is 2.5 days (the repair rate is constant). Calculate the interval availability over a 2-day mission (starting at time zero) and the point availability at the end of the 2 days.Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…