A railway train is fitted with three engine units that can be assumed to exhibit a constant hazard rate with a mean life of 200h. In a 15 hour working day, calculate the probability of a train having: (i) No failed engine units (ii) Dot moro than one failed unit

Q: According to an almanac, 60% of adult smokers started smoking before turning 18 years old. (a)…

A: Given information- Sample size, n = 300 The proportion is = 0.60 So, p = 0.60, q = 1 - p = 0.40

Q: The time of lasting of a particular brand of light bulb is normally distributed with mean 400 hours…

A: Let X denote the time of lasting of light bulb. Given that X follows N(mean = 400, SD = 20), then Z…

Q: An airplane is only allowed a gross passenger weight of 8000 kg. If distribution of the weights of…

A:

Q: Make a table comparing different continuous probability distributions, listing their key…

A: There are various continuous probability distributions. Some of them are Exponential Distribution,…

Q: The lifetime of a lightbulb in a certain application is normally distributed with mean μ = 1500…

A:

Q: The number of attempts at shooting goals made by a netballer in a tournament can be modelled by a…

A: Giveni)p=0.35n=12Let "x"be number of successful shootsx~Binomial(n=12,p=0.35)P(X=x)=(nx)px(1-p)n-x…

Q: The annual rainfall amount in Izmir is approximately normally distributed with mean 102.108 cm and…

A:

Q: A mail order company has a 11% success rate. If it mails advertisements to 515 people, find the…

A: Given Information: n=515p=11%=0.11To find the probability of getting less than 53 sales.

Q: According to a study, the time between taking a pain reliever and getting relief is normally…

A:

Q: A major steel pipeline is used to transport crude oil from an oil production platform to a refinery…

A: The Poisson distribution is used to calculate the probability of getting r number of…

Q: A machine produces, on average, 95 per cent of mouldings within tolerance values. Determine the…

A: We have to find out given probability..

Q: Assume that the life of a roller bearing follows a Weibull distribution with parameters β = 2 and δ…

A:

Q: Tom works for a fruit company and found that the weight of pineapples are normally distributed with…

A: From the information, mean is 500 and standard deviation is 100.

Q: In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must…

A: Given : Mean (μ) = 86 Standard deviation (σ) = 5 Sample size of cars (n) =36 Let X be a r.v X~N(μ=36…

Q: The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is normal…

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

Q: Fuses of a particular type have breaking points that are normally distributed with mean and standard…

A: Solution: 1. Let X be the fuses of a particular type have breaking points. From the given…

Q: According to an almanac, 80% of adult smokers started smoking before turning 18 years old. (a)…

A:

Q: An automobile battery manufacturer company named Everlast conducted a test which indicates the…

A: (c ) Obtain the probability that it will last greater than 72 months. The probability that it will…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.4…

A:

Q: In 2017, the entire fleet of light-duty vehicles sold in the United States by each manufacturer must…

A:

Q: If 28 helmets were randomly selected to be tested, find the probability that the crack pressures…

A: Let M denote the mean crack pressure for sample of size n = 28, then M follows N(mean = 150, SDM =…

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

A:

Q: When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the…

A: We want to find the probability  P(140<X<181)=?

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Given,The average no.of accidents in a month is 8.4so the average no.of accidents will occur in two…

Q: An automotive tire producer reports that the tread life for “XYZ” series summer tires has a normal…

A: Here the treadlife follows N(50000,6000). We need to find P(X>59000).

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

A:

Q: Find the probability that, when playing 100 games, the player will win more than $5 on average.…

A: The following information has been provided: μ=4, σ=0.583\mu = 4, \text{ } \sigma = 0.583

Q: assume that woman have diastolic blood pressure measures that are normally distributed with a mean…

A: From the given information, let us define the random variable X as diastolic blood pressure levels…

Q: The average time to recycle an e-waste is between 18 to 42 minutes following a uniform distribution.…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.1…

A: Given,sample size(n)=6mean(x¯)=13.1standard deviation(σ)=2

Q: The annual maximum level of a river is to be modeled as an extreme Type I random variable with a…

A: Z = x - μσ~N(0,1) Here , Chebyshev's theorem isn't applicable. Reason Z is less than 1

Q: According to a study, the time between taking a pain reliever and getting relief for a randomly…

A: The probability distribution of a discrete random variable X is a list of each possible value of X…

Q: An average tire used by a transportation company lasts 20,000 km with a standard deviation of 100…

A:

Q: Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm,…

A: Consider X be the random variable that represents the overhead reach distances of adult females…

Q: I observe that the frequency of cones with long bristles in a population of foxtail pine (Pinus…

A: Introduction :-  We want to find probability that a randomly chosen foxtail pine tree in this…

Q: A botanist developed a new hybrid cotton plant that can withstand insects better than other cotton…

A: From the given information, n = 3,000 and x = 2,300.

Q: The number of calls received by a car towing service averages 19.2 per day (per 24 hour period).…

A: Given  λ= Average no. of calls received by a car towing service =19.2 per day =19.224per hour X= No.…

Q: According to a study, the time between taking a pain reliever and getting relief for a randomly…

A: X~N(μ=48, σ=5.8) P(X>53)=1-Pz<53-485.8=1-Pz<0.86=1-0.8051=0.1949 Therefore the probability…

Q: (a) The life time of a certain brand of bulbs produced by a company is normally 15 distributed, with…

A: From the given information,  Consider, X is the life of certain band of bulls produce by company is…

Q: The expected life of a certain component in a mechanism is treated as a random variable having a…

A: Gamma distribution: A continuous random variable X is said to follow gamma distribution with…

Q: A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 16.1…

A:

Q: 4. Find the probability that a person who tests positive actually has TB (probability of TB present…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A: The average amount of soft drink discharged(μ)=200 The standard deviation of the amount of soft…

Q: A company manufactures two types of cables, brand R and brand Q. Brand R has mean breaking strength…

A: A company manufactures two types of cables, brand R and brand Q. Let X be the breaking strength of…

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: A data from a physician office shows that only 10% of patients are taller than 6 ft. If there are 4…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…

A: GivenMean(μ)=72.0standard deviation(σ)=12.5sample size(n)=25

Q: A technician can service an air conditioner in an average of one hour and fifteen minutes with a…

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

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.