A random variable X follows a Normal distribution with mean u = 40.8 and standard deviation o = 6.9. Which of the following gives th expectation E[X²]? O A. 1712.25 O B. 1664.64 O C. 47.61 O D. 281.52 O E. Insufficient information to calculate E(X^2)

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A: As per given by question, find a probability that a tube lasts for more than 6850 hours when the…

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A: Here we need to find the required probabilities.

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A: Given Information Mean µ = 98.25 F Standard deviation σ = 0.66 F As per the Chebychev’s formula

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A: For the given data find the probability ?

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A:

Q: A Christmas tree light has an expected life of 190 hr and a standard deviation of 2 hr. (a) Find a…

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A: Given that mean =0.75 sd =0.004

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A: The mean is given by μ=3 and standard deviation is given by σ=0.5 The z score is calculated using…

Q: The mean age at which men in the United States marry for the first time is 24.8 years. The shape and…

A: The t score is, t=x¯-μsn=25.1-24.82.560=0.30.3227=0.930 The t score is 0.930. The degrees of freedom…

Q: to assemble a car in a certain plant has a normal distribution with mean of 25.4 hours and a…

A: a).Given:μ=mean=25.4σ=standard deviation=4.1x=datapoint=28.8 The formula and calculation for z-score…

Q: The lifespan of a certain insect is believed to follow a normal distribution with a mean of 98 days…

A:

Q: A small jet can carry up to 43 passengers and 3 crew members. There is a weight restriction of 9200…

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Q: A Gaussian random voltage X with zero mean and standard deviation of 4.5 volts appears across 100…

A: Here, X is normally distributed with mean(μ) of 0 volts and standard deviation(σ) of 4.5 volts.

Q: l), and the standard deviation is 16.3 mg/dl. If a random sample of 35 overweight children is…

A: mean = 220 s = 16.3 n = 35

Q: A certain type of storage battery lasts on the average 3.0 years with a standard deviation of 0.5…

A: The normal distribution is the most useful theoretical distribution for continuous variables.  For…

Q: The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

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A: Given information- Population mean, µ = 0.10 inches Population standard deviation, σ = 0.07 inches…

Q: The total energy needed during pregnancy is normally distributed, with a mean of 2600 kcal/ day and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The average salary for graduates entering the actuarial field is $63000.  If the salaries are…

A: It is given that the salary for graduates follows a normal distribution with mean $63,000 and…

Q: a) What is the probability that a person selected at random spends more than 60 minutes on social…

A: time spent follows normal with mean 75 mins and standard deviation of 10 mins A p(time spent >…

Q: The average lifetime of smoke detectors that a company manufactures is  5 years, or 60 months, and…

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Q: Suppose a brand of light bulbs is normally distributed, with a mean life of 1700 hr anda standard…

A:

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

A: Given information Mean (µ) = 0.10 inches Standard Deviation(σ) = 0.05 inches Sample size (n)= 40

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A: From the provided information,The mean (µ) of the distribution is 7 minutes.The distribution of Xi…

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A: Mean = 74.0 Standard deviation = 12.5 Sample size =

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A: From the provided information, Sample size (n) = 45 Sample mean (x̄) = 3.586 Standard deviation (s)…

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

A: Given problem Given that   According to records, the amount of precipitation in a certain city on…

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A: Given, μ=21σ=1

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A: It was stated that  daily Non-Fungible Token (NFT)  price movements are normally distributed. The…

Q: The amount of soft ice dispensed by an old machine has a mean of 130g and a standard deviation of…

A: Given information: μ=130 g, σ=20 g

Q: ertain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year.…

A: a) x~N(3,0.25)

Q: normally distributed with 0 for the mean and 1 for the standard deviation, what is the probaility…

A: Use the standard normal table to find the required probability.

Q: The price (in SEK) for a certain share is described by a lognormally distributed random variable…

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Q: he manufacturer of a particular vacuum cleaner estimates that the mean length of time before the…

A: H0 : ? ≥27 (claim)     H1 : ? <27     Population mean = ? = 27 Sample S.D = s =4.8…

Q: The diastolic BP in a certain population has a mean of 70 mm Hg and a standard deviation of 10 mm…

A:

Q: Suppose a brand of light bulbs is normally distributed, with a mean life of 1700 hr and a standard…

A: Given Data Population Mean,μ = 1700.0 Population Standard Deviation,σ = 50.0

Q: ld man is selected at random. What is the probability that a man selected at random from the…

A: we are given mean = 120mm standard deviation = 20mm a) A 22-year-old man is selected at random. What…

Q: The length of life time of a pesticide spray is normally distributed with a mean life time is 12…

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Q: The average life of a bread making machine is 7 years, with a standard deviation of 1 year. Assuming…

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Q: The mean score for freshmen on an aptitude test at a certain college is 540, with a standard…

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

A: The random variable X is defined as the weight of an energy bar which follows normal distribution…

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

A:

Q: 4. Verify that N(0, 02)(normal distribution with parameters 0 and 02) s an exponential family.

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Q: The light bulbs produced by a generic manufacturer have a started average life of 1,146 hours.…

A: Given: μ=1146 and σ=100   The z-score is calculated asz=x-μσ

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A: rate of accident for good drivers = 1 per year rate of accident for bad drivers = 2 per year…

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.…