A recent study of the life span of wireless sound systems found the average to be 3.7 years with a standard deviation of 0.6 years. If a random sample of 32 people who own wireless sound systems is selected, find the probability that the mean lifetime of the sample will be less than 3.4 years. Also, draw and label the distribution to support your work.

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distrib ed…

A: Given that the length of life of the bulbs is normally distributed with mean 800 and standard…

Q: An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a…

A: Given data,μ=120σ=13If n=40P(X>114)=?

Q: The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15.…

A:

Q: The flying time of a drone airplane has a normal distribution with a mean of 4.76 hours and a…

A: Given ,         Meanu=4.76         Standard deviation σ=0.04

Q: The distribution of the number of viewers for the American Idol television show follows a normal…

A: From the provided information, Mean (µ) = 42 million Standard deviation (σ) = 7 million X~N (42, 7)…

Q: The average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: Let X be the random variable from normal distribution with mean or average (μ) = 53 and standard…

Q: If the mean fill volume is 12.1 fluid ounces, what should the standard deviation of fill volume…

A: From the provided information, Mean (µ) = 12.1 fluid ounces X~N (12.1, σ) Here X be a random…

Q: The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation…

A: Given Mean(μ)=95standard deviation(σ)=0.52sample size(n)=45

Q: The ages of patients undergoing a heart surgery in MJPS Hospital are normally distributed with a…

A: For the given data mu =43.5 ,s.d =8.5 ,x =40 p(x>40) = ?

Q: The average score on the SAT is 1020, with a standard deviation of 180. If you take a random sample…

A: We have given that Mean(µ) = 1020 Standard deviation(σ) = 180 Sample size (n) = 50

Q: The length of an injection-molded plastic case that holds magnetic tape is normally distributed with…

A: Answer - Given,   X ~ N(μ, σ)               Where μ = 90.4    and   σ = 0.1            Find    P( X…

Q: cular leg bone for dinosaur fossils has a mean length of 60 inches with standard deviation of 2…

A: Consider a random variable X which represents the length of the particular leg  bone for dinosaur…

Q: An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a…

A: The known values are, μ=120,σ=13,n=40 The mean and standard deviation of sampling distribution of…

Q: A particular leg bone for dinosaur fossils has a mean length of 60 inches with standard deviation of…

A: Given:  X= length of leg bone for dinosaur fossils  Mean of X = 60 inches  Standard deviation of X =…

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

A: We have to find given probability..

Q: The speed limit on Interstate 81 in Susquehanna County is 70 miles per hour (mph).  On a clear day…

A: The speed limit on Interstate 81 in Susquehanna County is 70 miles per hour (mph) The mean speed of…

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: Given,sample size(n)=33mean(μ)=5.97standard deviation(σ)=0.1

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.2…

A: As per guideline expert have to answer first question only since i have done all for you...

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

Q: The time spent in days waiting for a heart transplant can be approximated by a normal distribution…

A: Given information- Population mean, μ = 127 days Population standard deviation, σ = 23.5 days Since…

Q: The length of life of an instrument produced by a machine is normally distributed with a mean of 12…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: Given data normally distributed with mean of 196 pounds and standard deviation of 22…

Q: A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard…

A:

Q: The life span of a particular species of turtle is normally distributed with a mean of 180 years and…

A:

Q: Alfie Solomons owns a rum distillery. On average, he produces 100 liters of rum with a standard…

A:

Q: The average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: Solution-: Given: μ=53inches,σ=4inches We find, P(a selected individual's height will be greater…

Q: What is the probability that a randomly selected book has fewer than 141 pages if the mean is 193…

A: Given that The mean= 193 The standard deviation = 26 To find the probability that a randomly…

Q: The mean measure of high density lipoprotein (HDL), or good cholesterol, is 54 with a standard…

A: From the information, the mean is 54 and the standard deviation is 17. The probability of getting a…

Q: De Guzman Co. claims that the average life of their battery prod ucts lasts for 26 hours, with a…

A: Given Data Population Mean,μ = 26.0 Population Standard Deviation,σ = 5.0 sample…

Q: What is the probability that a car picked at random is travelling at more than 62MPH?

A: Let X denote the speeds of the cars. Given that X follows N(mean = 55, SD = 5), then Z = (X -…

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A:

Q: The probability that a patient recovers from a delicate heart operation is 60%. There are 20…

A: Solution: Let X be the number of recovered patients and n be the sample number of patients under an…

Q: The mean serum cholesterol level of a large population of overweight children is 220 milligrams per…

A: Given Pop mean, μ=220 mg/dlPop sd, σ=16.3 mg/dlSample size, n=35

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.2…

A: Let "M" be the mean lifespan of the item in years.

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A:

Q: The time for a student to commute from home to a university campus is Normally distributed with a…

A: It is given that the mean is 25 minutes and the standard deviation is 10 minutes.

Q: The Average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: From the given information,   Mean = 53 Standard deviation = 4

Q: A particular leg bone for dinosaur fossils have a mean length of 60 inches with standard deviation…

A: GivenMean(μ)=60standard deviation(σ)=2

Q: The height of the adult in a community are normally distributed with a mean value of 172 centimeters…

A: X: height of the adult in a community. X~N(μ,σ) μ=172cm   and     σ=8cm

Q: A study found that the mean systolic blood pressure was 106 mm Hg. Assume that the systolic blood…

A: It is given that mean and standard deviation are 106 and 8, respectively.

Q: The average amount of calories from a hamburger serves in a restauranr is 220 per order with a…

A: Given that  μ = 220 , ? = 30 , n =20

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and…

A:

Q: The average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: Mean(µ) = 53Standard deviations (σ) = 4 Since the distribution is normally distributed X ~ N (µ, σ…

Q: According to records, the amount of precipitation in a certain city on a November day has a mean of…

A: Given, Mean of precipitation is 0.10 and standard deviation is 0.05 A random sample of 40 days.

Q: The time it takes to produce a product in a factory is known To follow a normal distribution with a…

A: We have given that.   X~N( μ , ?^2 )   μ = 470 , ? = 60   Z-score =( x - μ )/?

Q: Alfie Solomons owns a rum distillery. On average, he produces 100 liters of rum with a standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: The average height of a certain age group of people is 53 inches and the standard deviation is 4…

A: Let X=the height of a certain group of people. X follows a normal distribution with mean=53 and…

Q: The time until recharge for a battery in a laptop computer under common conditions is normally…

A: Note: we find the probability value by using normal distribution table.

Q: A recent survey of the NHL found that the number of goals scored in Hockey *BY A PLAYER* in an 82…

A: From the provided information, Mean (µ) = 42 Standard deviation (σ) = 8 Let X be a random variable…

Q: The weight of an energy bar is approximately normally distributed with a mean of 42.90 grams with a…

A: Let Xi be the weight of ith energy bar, i=1,2,3,4. We have Xi~N(μ,σ2), i=1,2,3,4.…

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.