A production process manufactures items with weights that are normally distributed with mean of 15 pounds and a standard deviation 0.1 pound. An item is considered to be defective if its weight is less than 14.8 pounds or greater than 15.2 pounds. Suppose that these items are currently produced in batches of 1000 units. Find the probability that at most 5% of the items in a given batch will be defective How many items would have to be produced in a batch to guarantee that a batch consists of no more than 1% defective items?

Q: Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean…

A: The mean is 10 and the variance is 25. The standard deviation is √variance=√25=5.

Q: What is the standard deviation of the time spent with a patient? What is the likelihood that the…

A: The standard deviation of the time spent with a patient can be calculated as:   Thus, the standard…

Q: 2. Suppose the current annual salary of all teachers in the United States have a normal distribution…

A: Given that.   X~N( μ , ?)   μ=81000     , ?=6500   Z-score =( x - μ )/?

Q: 11. Assume that the weights of individuals are independent and normally distributed with a mean of…

A: Given Information: The eights of individuals are independent and normally distributed with a mean of…

Q: Find the probability that a normally distributed random variable will fall within these ranges: 1.…

A:

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.5…

A: We know that if; Y~Binomial(n,p)Then the expected value of Y is;E(Y)=npand the standard deviation of…

Q: The lifetimes of a certain electronic component are known to be normally distributed with a mean of…

A: It is given that the lifetimes of a certain electronic component are known to be normally…

Q: A manufacturer produces humidifiers that have a mean life of at least 18000 hours when the…

A: The question is about normal distribution Given : Popl. mean life ( μ ) = 18000 hrs. Pop. std.…

Q: Suppose a batch of steel rods produced at a steel plant have a mean length of 178 millimeters, and a…

A: From the provided information,Mean (µ) = 178Standard deviation (σ) = 12Sample size (n) = 76

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…

Q: ach month, the city of Accra generates an average of 28 pounds of waste. Assume the variable is…

A: To the probability of its generating between 27 and 31 pounds of waste per month and draw a normal…

Q: Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum…

A: From the given information ,Population mean , 183Population standard deviation , 37sample size , n =…

Q: Assume the amount of weight is normally distributed with a mean = 1.2 kg and standard deviation of…

A:

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Obtain the standard z-score for X equals 102. The standard z-score for X equals 102 is obtained…

Q: (i) Find the probability that he makes his 10th point on his twelfth free throw. (ii) Find the mean,…

A: Here given ,  Suppose during practice, a basketball player can make a free throw 80% of the time.…

Q: The number of calories burned after a brisk walk at 5 km/hr for an hour is normally distributed with…

A: We have to find out given probability.....

Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Given Data: Mean (μ)=85 Standard deviation (σ)=6 Variance (σ2)=36 Sample size(n)=16   Let X be the…

Q: An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult…

A: The mean is 178 and the standard deviation is 34.

Q: Suppose that the ages of all SCC students are normally distributed with mean 24.01 yrs and s.d. 5.31…

A: Given data, Mean μ=24.01sd     σ=5.31P(X>20)=?

Q: The bicycle manufacturer imports chains from the company CHX. The average life of the chains is 1500…

A:

Q: The distances that aeroplanes move before coming to a stop after landing have been observed to be…

A: X= distance aeroplane moveX~N(1 km, 0.06 km)    ; μ=1 km…

Q: Assume that the number of sick patient per day are normally distributed with a mean of 5000 and a…

A:

Q: . The average number of liters of fresh milk that a person consume in a month is 18 liters. assume…

A: It is given that the consume milk of a person follows a normal distribution with parameters, mean of…

Q: 5) The sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of…

A: Given Data Population Mean,μ = 26.0 Population Standard Deviation,σ = √2.5 =  1.5811

Q: 2. The IQs of 600 applicants of a certain college are approximately normally distributed with a mean…

A:

Q: 3. 100 students measure the height of a building (in metres). If the height is L, assume each…

A: The probability that the average of the 100 measurements is wrong by more than 0.5m is obtained…

Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…

A: Given that : The mean duration of a particular type of criminal trial ( µ ) = 24 days The standard…

Q: In a certain factory average length of products is 26 cm and standard deviation is 6 cm.…

A: Given Information: Distribution of lengths of products in a certain factory is assumed to be normal.…

Q: According to a poll, individuals keep their mobile phones for an average of 1.4 years before…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: 3. The alkalinity level of water specimens collected from a certain river is approximately…

A: Given,sample size(n)=20mean(μ)=50standard deviation(σ)=2.5

Q: Assume that IQ are normally distributed with a mean of 100 and standard deviation of 20. For a…

A:

Q: An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult…

A: The mean is 182 and the standard deviation is 40.

Q: A population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of…

A:

Q: An electrical appliance made by company A has an average life of 2500 hours, with a standard…

A: Given that For Company A  Population mean=2500 hours Standard deviation =500 hours  Sample size=300…

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.