The time taken by brake discs to overheat on construction equipment is normally distributed with µ=3.1 and ơ=0.4 if you select

Q: a machine producing vitamin E capsules operates so that the actual amount of vitamin E in each…

A: We want to find the probability selected capsule have vitamin e more than 3.8 mg

Q: To evaluate the success of a 1-year experimental program designed to increase the mathematical…

A: given  α=0.05β=0.025∆=550-525=25σ=80

Q: A production manager claims that the production process produces items with a mean weight of 1000 ml…

A: Given information Mean µ = 1000 ml Standard deviation = 25 ml n = 100 Probability that sample mean…

Q: In a survey of U.S. men, the heights in the 20 –29age group were normally distributed, with a mean…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: On a highway, the Average Waiting time for a cop for stopping a car is 10 min. The waiting time T is…

A: The waiting time is independently distributed exponential random variable with mean waiting time 10…

Q: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

A: Given data,Mean μ=13.6sd    σ=1.5If n=30P(X>14)=?

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A:

Q: . The customer service center in a large New York department store has determined that the amount of…

A: We have given that.   X~N( μ , ?^2 )   μ=9.3     , ?=2.5   Z-score =( x - μ )/?

Q: Wright et al. used the 1999-2000 National Health and Nutrition Examination Survey (NHANES) to…

A:

Q: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A: We have given that, In a survey of a group of​ men, the heights in the​ 20-29 age group were…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a…

A:

Q: What is the probability that a randomly selected depth is less than 3.30 m?  What is the probability…

A: Given that  Probability distribution function (pdf) a=2.50    , b=6.50 f(x)=1/(b-a)     ,…

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Xi : length of the ith nail. Given that Xi ~ N(5,0.512) So, sample mean, X ~ N(5,0.512/114)

Q: The reading speed of second grade students in a large city is approximately normal, with a mean of…

A: Given data,Mean μ=88sd    σ=10If n=10P(X>93)=?

Q: Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia,…

A: Given: X~N(μ,σ)μ=88σ=6.4

Q: A survey indicates that 30% of the people who earn less than $35000 per year are homeowners. If a…

A:

Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: An electric company has been selling a bulb, which was advertised as having an average life of 1,…

A: Sampling distribution of sample mean (x¯) :  If simple random sample of size n is drawn from Normal…

Q: A salesman who frequently drives from Muscat to Sohar finds that his driving time is a random…

A: The solution to the given question is explained below.

Q: The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a…

A: Let X denote the weekly salaries of teachers. Given that X follows Normal(mean = 490, SD = 45) Then…

Q: A census of the labor force in a large metropolitan area found that the time is takes for people to…

A:

Q: A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12…

A: Suppose a random sample of sufficiently large sample size drawn from a population whose mean is µ…

Q: The stiffness of a certain type of steel beam used in building construction has mean 30 kN/mm and…

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: GivenMean(μ)=3287variance(σ2)=198025standard devaition(σ)=198025

Q: The results of a study showed that heterosexual women, during ovulation, were significantly better…

A: Given, on average women correctly identified the marriage status of about 70% of the 100 men. The…

Q: A manufacturer knows that their itenys have a normally distributed length, with a mean of 17.2…

A: Solution: Let X be the length. From the given information, X follows normal distribution with mean…

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: Given that mean =200 ,s.d =16

Q: The CPU time requirement of a typical program measured in minutes has a three-stage Erlang…

A: Erlang distribution is the special case of Gamma Distribution. The random variable X takes the…

Q: According to the professional house framers organization in North Texas, the mean gross income for…

A: From the provided information, Sample size (n) = 120 Sample mean (x̅) = $45500 Population standard…

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A:

Q: The number of alpha particles per square centimeter emitted by a radioactive substance is Poisson…

A:

Q: A gasoline tank for a certain model car is designed to hold 15.6 gallons of gas. Suppose that the…

A: Let X be the gas tank of randomly selected car Given Data: mean=15.6 standard deviation=0.3…

Q: a machine producing vitamin E capsules operates so that the actual amount of vitamin E in each…

A:

Q: An insurance risk manager has observed that the most common insurance product purchased by business…

A: Given Information:  Mean value = 32.2 m Standard deviation = 0.3 m

Q: A CPA knows from past history that the average accounts receivable for a company is $521.72 with a…

A: Given: μ = ​$521.72 σ = $584.64 n = 100

Q: An automated machine in a manufacturing process is operating properly if the length of animportant…

A:

Q: An electric company has been selling a bulb, which was advertised as having an average life of 1,…

A:

Q: Based on tests of the Chevrolet Cobalt, the miles per gallon in highway driving are normally…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: In a human factor experimental project, it has been determined that the reaction time of a pilot to…

A: We have to find probabaility

Q: a machine producing vitamin E capsules operates so that the actual amount of vitamin E in each…

A:

Q: The number of tickets purchased by an individual for Beckham College's holiday music festival is a…

A:

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: From the provided information, Mean (µ) = 8.4 hours Standard deviation (σ) = 1.8 hours Let X be a…

Q: If the annual proportions of new restaurants that fail in a given city may be looked upon as a…

A: Given X~Beta (α,β) and its prob density is given by f(x)=Γ(α+β)Γ(α)Γ(β)xα-1(1-x)β-1  for 0<x<1…

Q: In building materials laboratory, it has been observed that a failure proportion of concrete cubes…

A: The question is about prob. dist. Given : Failure prop. of concrete cubes ( p ) = 0.03 Total no. of…

Q: The amountof cashew nuts per packet (?), sold by a company,can be modelled usinga normal random…

A: We have given that.   X~N( μ =115, ?^2 =4)   μ =115 , ? =2   Z-score =( x - μ )/?

Q: The New York Times reported that 17.2 million new cars and light trucks were sold in the United…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A study conducted by the Center for Disease Control that asked 15,000 students about their sleep…

A:

Q: The amount of time that a drive-through bank teller spends on a costumer is a random variable with a…

A: Let X be the random variable from normal distribution with mean (μ) = 3.2, standard deviation (σ) =…

Q: A large freight elevator can transport a maximum of 9800 pounds. Suppose a load of cargo containing…

A: GivenMean(μ)=205 poundsstandard deviation(σ)=15sample size(n)=49

Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…

A: From the provided information, Sample size (n) = 2500 Out of which 1723 in favor of stricter gun…