suppose that the service life, in years, of the LOUD WHISPER a hearing aid battery is...
suppose that the service life, in years, of the LOUD WHISPER a hearing aid battery is a random variable have a weibull distrubtuion with scale parameter =.7 and the shape parameter = 2.1
A-at what point in time, 30% of the batteries died?
B- What is the hazard rate at second year of operation
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suppose that the service life, in years, of the LOUD WHISPER a
hearing aid battery is...
1) The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard...
1) The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. (a) Find the probability that the serum cholesterol level of a randomly chosen 14-year-old boy exceeds 230. (b) In a middle school there are 300 14-year-old boys. Find the probability that at least 8 boys have a serum cholesterol level that exceeds 230. 2) Suppose that the service life, in years, of a hearing aid battery is a random...
Let the random variable T be the time until some event occurs (e.g. time until an...
Let the random variable T be the time until some event occurs (e.g. time until an atom decays, time until next rainfall, etc). Suppose it’s a continuous random variable supported on [0, ∞). The hazard rate for T is defined as h(t) = f(t) 1 − F(t) , where f and F are the density and CDF for the distribution of T. On an intuitive level, this is the chance that the event will occur in the very near future,...
6) The lifetime battery life of a laptop can be modeled as a Weibull variable with parameter λ = 1 per 10 years and parameter a-1.35 a) What is the probability that a laptop will last between 5 and 1...
6) The lifetime battery life of a laptop can be modeled as a Weibull variable with parameter λ = 1 per 10 years and parameter a-1.35 a) What is the probability that a laptop will last between 5 and 10 years? b) A merchant sold 40 laptops on a day with a guarantee that any laptop lasting less than 5 years will be replaced by another laptop with a 28% discount. What is the probability that the merchant has to...
1) If 20% of the residents in a U.S. city prefer a white telephone over any...
1) If 20% of the residents in a U.S. city prefer a white telephone over any other color available, what is the probability that among the next 1000 telephones installed in that city (a) between 170 and 185 inclusive will be white? (b) at least 210 but not more than 225 will be white? 2) The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. (a) Find the probability that...
Question 2 1 pts Suppose the lifetime (in months) of certain type of battery is a...
Question 2 1 pts Suppose the lifetime (in months) of certain type of battery is a random variable y with pdf =x2. In a random sample of 4 such batteries, what is the probability that at least 2 of them f(x) will work for more than 6 months (round off to second decimal place)?
Problem 1 A subway train on the #5 line arrives every eight minutes. We are interested...
Problem 1 A subway train on the #5 line arrives every eight minutes. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution In each appropriate box you are to enter either a rational number in "p/" format or a decimal value accurate to the nearest 0.01 a. The waiting time is modeled by a random variable X with X (pick on distribution b. The density function...
1. The numbers of incorrect answers on a true false competency test for a random sample...
1. The numbers of incorrect answers on a true false competency test for a random sample of 15 students were recorded as follows: 2, 1,3,0, 1, 3, 6, 0,3,3,5, 2, 1, 4, and 2. Find (a) the mean; (b) the median; (c) the mode. 2. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows: 3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3 1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1...
Please do all questions... A cell phone battery manufacturer claims that one of their batteries for...
Please do all questions...
A cell phone battery manufacturer claims that one of their batteries for a particular cell phone will outperform a competitor's equivalent brand. To establish this claim, a researcher selected samples of the two brands of batteries and perform accelerated tests on them in the lab under identical conditions. A random sample of 55 of the manufacturer's battery was selected and placed on test. A corresponding random sample of 55 of the competitor's battery was also put...
Question 46 Not yet answered At a factory that produces batteries, every 50th battery is taken...
Question 46 Not yet answered At a factory that produces batteries, every 50th battery is taken from the production line in order to test its quality. This is an example of a Marked out of 1.00 P Flag question Select one: a. stratified random sample. b. systematic sample O c. simple random sample O d. convenience sample. e. voluntary response sample The delivery times for a courier company are uniformly distributed between 2 day and 4 days. What is the...
You deposit $11,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire...
You deposit $11,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate of 7 percent, what will be the amount in the retirement fund at the end of year 10? b. Instead of a lump sum, you wish to receive annuities for the next 20 years (years 11 through 30). What is the constant...
6) The lifetime battery life of a laptop can be modeled as a Weibull variable with parameter λ = 1 per 10 years and parameter a-1.35 a) What is the probability that a laptop will last between 5 and 10 years? b) A merchant sold 40 laptops on a day with a guarantee that any laptop lasting less than 5 years will be replaced by another laptop with a 28% discount. What is the probability that the merchant has to...
Question 2 1 pts Suppose the lifetime (in months) of certain type of battery is a random variable y with pdf =x2. In a random sample of 4 such batteries, what is the probability that at least 2 of them f(x) will work for more than 6 months (round off to second decimal place)?
Problem 1 A subway train on the #5 line arrives every eight minutes. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution In each appropriate box you are to enter either a rational number in "p/" format or a decimal value accurate to the nearest 0.01 a. The waiting time is modeled by a random variable X with X (pick on distribution b. The density function...
1. The numbers of incorrect answers on a true false competency test for a random sample of 15 students were recorded as follows: 2, 1,3,0, 1, 3, 6, 0,3,3,5, 2, 1, 4, and 2. Find (a) the mean; (b) the median; (c) the mode. 2. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows: 3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3 1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1...
Please do all questions...
A cell phone battery manufacturer claims that one of their batteries for a particular cell phone will outperform a competitor's equivalent brand. To establish this claim, a researcher selected samples of the two brands of batteries and perform accelerated tests on them in the lab under identical conditions. A random sample of 55 of the manufacturer's battery was selected and placed on test. A corresponding random sample of 55 of the competitor's battery was also put...
Question 46 Not yet answered At a factory that produces batteries, every 50th battery is taken from the production line in order to test its quality. This is an example of a Marked out of 1.00 P Flag question Select one: a. stratified random sample. b. systematic sample O c. simple random sample O d. convenience sample. e. voluntary response sample The delivery times for a courier company are uniformly distributed between 2 day and 4 days. What is the...
You deposit $11,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate of 7 percent, what will be the amount in the retirement fund at the end of year 10? b. Instead of a lump sum, you wish to receive annuities for the next 20 years (years 11 through 30). What is the constant...
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