A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. Assuming that battery life is normally distributed: Set up the required equations in order to formulate your solution to the problem. Find the probability that the battery lasts more than 3.5 years.

Q: The average age of accountants is 53 years, with a standard deviation of 5 years. If an accounting…

A: We have to find probability..

Q: The shelf life of a battery produced by one major company is known to be normally distributed, with…

A: Given that μ=3.8,σ=0.4

Q: Tires of a particular brand have a lifetime mean of 29,000 miles and a standard deviation of 3,000…

A: Chebyshev's theorem and empirical rule are used to calculate the percentages of data lies within…

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…

A: Given that the life expectancy of non defective light bulbs follows normally dist with mean 1200 hr…

Q: For a population with a standard deviation of 40, how large a sample is necessary to have a standard…

A: We want to find the sample size

Q: certain type of storage battery lasts on the average 3.0 years, with a standard deviation of 0.5…

A:

Q: A factory produces LED bulbs with an average lifespan of 50,000 hours and a standard deviation of…

A: The top 10% of bulbs last for at least how long is obtained below:From the given information, the…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a an of 37…

A: 37 Obtain the standard z-score for the random variable equals 26.1 liters. The standard z-score for…

Q: Assuming that the process is in contorol, estimate the standard deviation for the following…

A: Sample size n = 8 and number of sample is k = 64

Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…

A: Population mean μ=20.5, standard deviations σ=2.3  Let X be the assemble a bicycle X~N(μ=20.5,…

Q: Suppose a player's true batting average is Normal, with mu = .275, and standard deviation, sigma =…

A:

Q: The life of a semiconductor laser at a constant power is normally distributed with a mean of 7500…

A:

Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

A: I am sorry, I can not provide a solution on paper. We are strictly instructed to provide a typed…

Q: The amount of revenue of a shop is approximately normally distributed with a mean of $4500 and a…

A: We have to find out given probability..

Q: The number of working hours before failure is approximately normally distributed. What is the…

A:

Q: Assume that the weights of individuals are independent and normally distributed with a mean of 160…

A:

Q: A population has a mean of 200, a standard deviation of 30, and is normally distributed. A sample of…

A: We want to find the probability  Note: This probability value calculated from standard normal…

Q: On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If…

A: Assume, X be the random variable representing the quantity of milk sold per day (in liters). It is…

Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…

A: The objective is to find the probabilities that the time required to assemble a bicycle is below 19…

Q: Find the indicated probability. The weekly incomes of a summer intern in Tesla are normally…

A: Given data,Mean μ=1500sd    σ=300P(X<1200)=?

Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

A:

Q: Find the standard deviation of times taken for germination for cauliflower seeds. C

A: Let , X→N(μ=7 , σ) We have  , the exactly 90% of the cauliflower seeds germinate in 6 days or more.…

Q: According to the Central Limit Theorem, what is the standard deviation of the approximate…

A:

Q: The average age of accountants is 43 years, with a standard deviation of 5 years. If an accounting…

A: From the given information,   Mean = 43 Standard deviation = 5 Sample size = 30

Q: An asset has an average return of 10.43 percent and a standard deviation of 22.83 percent. What is…

A: here given, mean  = 10.43% standard deviation = 22.83 % here probability of return percentage (x% )…

Q: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…

A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n)  = 25 By using standard normal…

Q: The average life of a brand of automobile tires is 30,000 miles, with standard deviation of 2,000…

A: Given: X~N(μ,σ)μ=30000σ=2000

Q: The shelf life of a battery produced by one major company is known to be normally distributed, with…

A:

Q: The mass, m, of a particular hand-laid fiberglass part is normally distributed with a mean of 66 kg…

A: Given,mean(μ)=66 kgstandard deviation(σ)=5kg

Q: As the sample size (n) increases, the standard deviation of x from that sample decreases, this…

A: Hello! As you have posted 3 different questions, we are answering the first question (8). In case…

Q: If a project has an expected time of completion Te of 45 weeks with a standard deviation of 7 weeks,…

A:

Q: The life of a vacuum cleaner is normally disyributed with mean 5 years and standard deviation 2…

A:

Q: 32 individuals from a population and the mean of the population is 120 and the standard deviation of…

A: From the central limit theorem the sample mean blood glucose level will follow normal distribution…

Q: The average credit card debt for college seniors is $3262. If the debt is normally distributed with…

A: It is given that the average credit card debt for college seniors is $3262. If the debt is normally…

Q: The lengths of human pregnancies are approximately normally distributed with a mean of 268 days and…

A: Let X is the random variable representing lengths of human pregnancies. X~Normalμ=268,σ=16

Q: The sick-leave time of employees in a firm in a month is normally with a f 100 hours and a standard…

A: Given  Mean (mu) = 100 hours Standard deviation = s= 20 hours

Q: The length of time it takes to find a parking space is normally distributed with a mean of eight…

A: Solution: Let X be the length of time it takes to find a parking space. From the given information,…

Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…

A: From the provided information, Mean (µ) = 45.0 lb Standard deviation (σ) = 7.9 lb X~N (45, 7.9) Let…

Q: The average price of a kilogram of ham is P1,300. Assume that the standard deviation is P150. If a…

A:

Q: Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a…

A: Given: standard deviation(σ) = 18 inches sample size(n) = 35 population mean(μ) = 99 inches

Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…

A: The standard normal variate is calculated using the sample mean, population mean and population…

Q: male beluga whales have a mean weight of 1980 pounds with a standard deviation of 220 pounds.…

A:

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

A: The mean of the data is 25. The standard deviation of the data is 3.

Q: If a random variable that is normally distributed has a mean of 25 and a standard deviation of 3,…

A: Given,mean(μ)=25standard deviation(σ)=3

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally​…

A: The probability that at least 1300 ​hr is,

Q: The monthly demand for a product is normally distributed, with a mean of 700 units and a standard…

A: Given: Mean μ=700 Standard deviation σ=200 Let X be the random variable. The formula for z-score is:…

Q: A local fast food restaurant advertises an average service time of u = 3 minutes with a standard…

A: Given Data : Population Mean,μ = 3 Population Standard Deviation,σ = 0.39

Q: The weekly amount of money spent on maintenance and repairs by a company was observed, over a long…

A: Given that, the weekly amount of money spent on maintenance and repairs by a company was observed,…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.