Suppose that the birth weight of children follows a normal distribution with a mean of 3.0 kg and standard deviation of 0.5 kg. 1. If 10 000 children are born, what is the expected number of children whose birth weight is less than 2.0 kg? 2.If a sample of 5 children is selected at random, what is the the probability that the sample mean is less than 2.0 kg.

Q: A study at a college in the west coast reveals that, historically, 45% of their students are…

A: According to the sum A study at a college in the west coast reveals that, historically, 45% of their…

Q: with a mean of µ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a…

A: Given Data : Population Mean,μ = 70 Population Standard Deviation,σ = 10

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A: As per guideline expert have to answer first three subpart only.

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

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A: According to central limit theorem if the population is normal or the sample size is at least 30,…

Q: If X is a normally distributed random variable with a mean of 80 and a standard deviation of 12,…

A: Given that.   X~N( μ , ?^2 )   μ=80     , ?=12   Z-score =( x - μ )/?

Q: If x is a normally distributed variable with a mean of 151.7 and a standard deviation of 21.9, what…

A: GivenMean(μ)=151.7standard deviation(σ)=21.9

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A: Normal distribution- The study of the normal distribution or Gaussian distribution has multiple…

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A:

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A:

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A:

Q: mean of µ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a sample…

A: Given data: A normally distributed population with mean and standard deviation is given as:…

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A: Consider,X be the height of students which follows normal distribution with mean of 166 cm and…

Q: 6. If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

A: Given,n=400Probability of success(p)=0.1Probability of failure(q)=1-0.1=0.9here we can use binomial…

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A: Given data, mean=9 sd=2 P(X<5)=?

Q: 1. The mean weight of 5-year-old children is 39.5 pounds, and the standard deviation is 3.2 pounds.…

A: Given that  X~N(μ= 39.5 , σ= 3.2 ) μ= 39.5 , σ= 3.2 , n=52

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 18.7…

A: It is given that the mean is 187, the standard deviation is 47 and the sample size is 34.

Q: Suppose the GPAs of all VVC students have an approximately normal distribution with a mean of 2.98…

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

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A: GivenMean(μ)=80standard deviation(σ)=12

Q: the life expectancy of 400 people in a certain geographic region, the mean age at death was 70…

A: Given, μ=70σ=5.1n=50

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A: We know that if; Y~Binomial(n,p)Then the expected value of Y is;E(Y)=npand the standard deviation of…

Q: 3. The average cholesterol content of a certain canned goods is 215 milligrams, and the standard…

A: Given that  X~N(μ= 215 , σ= 15 ) μ= 215 , σ= 15 , n= 25

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A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

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A: We have to find the solution for the given problem.

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A: Let X be the monthly utility bills in a city are normally distributed with mean μ=$100 and standard…

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A: Here is given that mean is 71 inches and standard deviation is 4 inches. 6 ft is equal to 72 inches.

Q: Suppose that the latest census indicates that for every 10 young people available to work only 4 are…

A: Solution: Let X represent the number of people are employed.  The probability of people are employed…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A:

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

A: Given data, μ = 70 inches σ = 3 inches If n=16 P(X>6.1)=? =P(X>73)=?

Q: 3. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard…

A: Given mean μ = 215standard deviation σ = 15we need to calculate two parts of probability

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: Mean = 50 Standard deviation = 10 Sample size, n = 25

Q: ). If a certain machine manufactures electrical resistors that have a mean resistance of 201.35 ohms…

A: Solution

Q: According to Neilson & Co adults watch an average of 30 hours of a TV a week. Assume the population…

A: X~N(μ,σ2) μ=30, σ=12 Z=X-μσ/n

Q: If a random sample of size 14 is drawn from a normally distributed population with mean 43.5…

A: Given Sample size n = 14 Population is Normally Distributed with mean 43.5 minutes  Sample standard…

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A: Let X be a continuous random variable of average GPA of university students is normally​ distributed…

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A:

Q: Suppose that, on average, electricians earn approximately µ = $54,000 per year in the United States.…

A: Obtain the standard Z-score for the random variable X equals 60,000. The standard Z-score for the…

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: given: Population mean (μ)=50 Population standard deviation (σ)=10 Sample mean (M)=54 Sample size…

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A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

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A: From the provided information, Mean (µ) = 31 years Standard deviation (σ) = 4 years X~N (31, 4) Here…

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A: Note: Please repost remaining subparts as i can answer only 3 subparts as per my policy Given data,…

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A: The mean is 22.3 and the standard deviation is 4.

Q: Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3.…

A: Given,      Meanμ=12      Standard deviationσ=3

Q: 3. Suppose that the IQ scores of Grade 11 students of OSFI is normally distributed with a mean of…

A:

Q: If the random variable of X is normally distributed with a mean of 50 and a standard deviation of…

A: Given that, Let X is normally distributed random variable with a mean of 50 and a standard deviation…

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Given μ=2.4σ=2.0

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A: It is given that n=19 and p=0.6.

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A:

Q: Suppose that IQ scores of Grade 11 students of Abuyog Academy is normally distributed with a mean 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.