Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 57hours and a standard deviation of 3.5 hours. With this​ information, answer the following questions.   ​(a) What proportion of light bulbs will last more than 61 ​hours? ​(b) What proportion of light bulbs will last 51 hours or​ less? ​(c) What proportion of light bulbs will last between 59 and 62 ​hours? ​(d) What is the probability that a randomly selected light bulb lasts less than 45 ​hours?

Q: Suppose that in a certain Senior High School the average height of male students is 155.9 cm with…

A: GivenMean(μ)=155.9standard deviation(σ)=20.4sample size(n)=40

Q: Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

Q: The amount of snowfall falling in a certain mountain range is normally distributed with an average…

A: From the provided information, Mean (µ) = 170 inches Standard deviation (σ) = 20 inches X~N (170,…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.6…

A: The provided information are:

Q: Suppose the mean amount of cholesterol in eggs labeled “large” is 186  milligrams, with standard…

A: Given that  μ = 186 , ? = 7 , n = 144

Q: In a recent year, the average daily circulation of the Wall Street Journal was 2,276,207. Suppose…

A:

Q: Suppose that a 1-gallon can of paint covers 513.3 square feet on average with a standard deviation…

A: From the provided information, Mean (µ) = 513.3 square feet Standard deviation (σ) = 31.5 square…

Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A: We have given that,  X be the random variable from normal distribution with mean = 28 and standard…

Q: The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 60.…

A: a) From the given information, the standard deviation of monthly rents paid by students in a…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.6…

A: Mean = 11.6 Standard deviation = 2.9 Sample size = 16

Q: Suppose the scores, on a college entrance examination are normally distributed with a mean of 1000…

A: We have given that Suppose the scores, on a college entrance examination are normally distributed…

Q: In 1999, the murder rates (per 100,000) for the 50 states and the District of Columbia had a mean of…

A:

Q: Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.11 and a…

A: Given that the shoe sizes of American women have a bell-shaped distribution with a mean of 8.11 and…

Q: A certain type of battery has a mean shelf life of 600 days with a standard deviation of 28 days. a.…

A: Given data,μ=600σ=28

Q: Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.02…

A: Introduction:Let Y be the weight of a randomly selected airline passenger bag (in pounds). Here, Y ~…

Q: In a recent year, the average daily circulation of the Wall Street Journal was 2,276,207. Suppose…

A: Solution: Let X be the paper’s daily circulation. From the given information, X follows normal…

Q: If a male person selected from the population has weight 95 kgs, what is his expected height and…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.4 inches,…

A: Let "M" be the mean length of the item in inches.

Q: In a population of heroin users, the mean duration of heroin abuse is 5 years with a standard…

A: From the provided information, Mean (µ) = 5 years Standard deviation (σ) = 3 years X~N (5, 3) Sample…

Q: What is the z-score of x = 11, if it is 2.5 standard deviations to the left of the mean?

A:

Q: In a certain geographical region, the annual rainfall is normally distributed with a mean of 102.2…

A:

Q: manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.3…

A: Given that.   X~N( μ , ?^2 )   μ=19.3     , ?=5.7  ,n=48   Z-score =( x - μ )/?

Q: Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88…

A: Solution-: Given: μ=47.88,σ=3.09 We find the probability that 4 or fewer bags weigh greater than 50…

Q: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of…

A:

Q: Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.4…

A:

Q: Suppose that the height distribution of students in your class was normally distributed with mean 68…

A:

Q: Suppose the number of movies people rent per month is normally distributed with a mean of 4.8 and a…

A: Let x be the number of movies people rent per month which follows normal distribution with mean 4.8…

Q: Suppose the average age at death of a California Adventist is 85.5 with a standard deviation of 5.6…

A: We have given that  X~N( μ,? ^2 ) mu= 85.5 , sigma = 5.6  Z-score =(x-mu )sigma

Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…

A: Given, Item have length follows normal distribution with mean 11.9 and standard deviation 1.1…

Q: Suppose that the number of customers who enter a supermarket each hour is normally distributed with…

A: Let X denote the number of customers who enter a supermarket each hour and it follows normal…

Q: The weekly salaries of a group of employees are normally distributed with a mean of $800 and a…

A:

Q: Given that pregnancies have a mean of 266 days and standard deviation of 16 days, it is found that…

A: We have given that,  X be the random variable from normal distribution with mean = 266 and standard…

Q: If adult female heights are normally distributed, what is the probability that the height of a…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: Suppose a candidate for public office is favored by only 47% of the voters. If a sample survey…

A: Given Population mean=0.47 Population standard deviations=0.01

Q: Suppose the scores, x, on a college entrance examination are normally distributed with a mean of…

A: Solution: Let X be the score on a college entrance examination. From the given information, X…

Q: Total serum cholesterol levels for individuals 65 years of age and older are assumed to follow a…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: f 12 items are chosen at random, what is the probability that their mean length is less than 11.4…

A: Items have normally distributed length with mean 11.6 inches and standard deviation as 2.1 inches. X…

Q: The professor of a introductory calculus class has stated that, historically, the distribution of…

A:

Q: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of…

A: Normal distribution - The normal distribution is widely used to calculate probabilities which are…

Q: The daily sales of a small retail store in tokyo for the last 365 days are normally distributed with…

A:

Q: Suppose the average age at death of a California Adventist is 85.5 with a standard deviation of 5.6…

A: Given Data: Let X represent the random variable Mean=85.5 SD=5.6   Assuming normal distribution X~…

Q: Based on the records of the Admissions Office of University X, the mean score of all Grade 11…

A:

Q: The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 40.…

A: Given: Standard deviation of monthly rent paid by students, σ=40.            Let X denotes the…

Q: 11. If the scores for an 1Q Test have a mean of 100 and a standard deviation of 15, find the…

A: We have to find given probability.

Q: The distribution of heights for men in the United States is approximately normal, with a mean of μ =…

A: Where,

Q: Suppose it is known that the average score of all high school seniors taking a national test of…

A:

Q: Suppose that the mean cost of domestic airfares in Canada is %24300 per ticket. Also assume that…

A: Given data,μ=300σ=100

Q: Suppose the weights of seventh-graders at a certain school vary according to a Normal distribution,…

A: Given information Sample mean x̅ = 98 Population mean µ = 100 Sample size = 35 Standard deviation =…

Q: What is the z score of x = 9, if it is 1.5 standard deviations to the right of the mean?

A: Given X = 9 also  X = μ + 1.5 (σ) --1

Q: The daily sales of a small retail store in Toronto for the last 365 days are normally distributed…

A: Given Information :  The daily sales of a small retail store in Toronto for the last 365 days are…

Q: Suppose the average wait time at a local Urgent Care facility is 5 min with a standard deviation of…

A:

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.