Assume that X is normally distributed with a mean of 8 and a standard deviation of 3. Determine the probabilities and the x, where it is necessary: а. Р(Х <7) Ь. Р(4 <х < 12)

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Let Z be a random variable from standard normal distribution with mean = 0 °C and standard deviation…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Consider X be a normal random variable which indicates the readings of a thermometer. The readings…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Assume that women's heights are normally distributed with a mean given by u = 64. 1 in. , and a…

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Q: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard…

A: Given that the random variable of blood pressure readings is normally distributed with mean of 120…

Q: A manager at a farm is curious about if the size of the Colossal Cantaloupe melons that they grow at…

A: Given: μ=37n=29x¯=38.4s=5.1α=0.05

Q: Suppose certain coins have weights that are normally distributed with a mean of 5.945 g and a…

A: Given information- Population mean, µ = 5.945 g Population standard deviation, σ = 0.071 Sample…

Q: Let 0&lt; α&lt; 1. For a normally distributed variable, show that 100(1 − α)% of all possible…

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Q: The actual weight of a bag of flour is modeled as a normal random variable with a mean of 0.25…

A: Given,   Mean = 0.25 Standard deviation = 0.02

Q: If the average height of 500 students in a secondary school is 151 cm, with a standard deviation of…

A: GivenMean(μ)=151standard deviation(σ)=15

Q: The number of people getting sick from imported meat products in a certain city in one month was…

A: Given data,μ=190σ=22P(X&gt;160)=?

Q: Suppose that f (x) = e-* for 0 < x Determine the mean and variance of the random variable.

A: Given problem Given that   Suppose that  f(x) = e-x for 0 &lt; x  The mean and variance of the…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Let Z-score are normally distributed with mean = 0 and standard deviation = 2 Then,  We will find…

Q: Let the random variable X represent the profit made on a randomly selected day by a small clothing…

A: Solution

Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Given: Let us define the random variable X as the monthly income of employees in firm A. Mean = μ =…

Q: Assume that women's weights are normally distributed with a mean given by u = 143 lb and a standard…

A: Let X be the weight of a randomly selected women. X~N(143 lb, 292lb) (a) P(X&gt;174)…

Q: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard…

A: For an assumed sample mean,   Z=x¯-μσnx¯=sample meanμ=population meanσ=population standard…

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Solution-: Let, X= The GPAs of university students Given: We find, (a) less than 2.30 (b) more than…

Q: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean,…

A: Random Variable has a discrete uniform distribution on the integers 0 through 9.So, Mean :…

Q: If the average height of 500 students in a secondary school is 151 cm, and the standard deviation is…

A: Given: N = 500 μ = 151 cm σ 15 cm   Formula Used: Z-score = X-μσ

Q: Bob has a bulb factory that produces two types of bulbs: white light (x) and color light (y). It is…

A:

Q: Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas…

A: Given: Sample size, n = 50Mean, μ = 11.5 Std. Dev, σ = 4.0

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: The random variable Z follows normal distribution. The population mean is 0. The population standard…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A:

Q: A homeowner estimates that within the range of likely temperatures his January heating bill, Y, in…

A: Given : Y = 290 - 5T Where T is a r.v with Mean (μT) = 24 S.D (σT) = 4

Q: P(−2.19<Z<−0.419)=P(-2.19<Z<-0.419)=

A: Here it is given that -  Mean (μ) = 0Standard Deviation (σ) = 1 Let X be a random variable which…

Q: A man hieght and weight are nomally distributed with mean u= 70 inches and standard deviation a =…

A:

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A:

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Standard Normal Distribution: A random variable z is said to be a standard normal variable if z…

Q: n a small factory producing bamboo products, the standard acceptable measurement for a bamboo…

A: Lengths are between  10.85 cmand 12.075 cm SD = Standard Deviation   6% of the straws are rejected…

Q: The mass, m, of a particular hand-laid fiberglass part is normally distributed with a mean of 66 kg…

A: Given,mean(μ)=66 kgstandard deviation(σ)=5kg

Q: Assume that women's weights are normally distributed with a mean given by μ=143 and a standard…

A:

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine…

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Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(0…

A: We have given that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.

Q: 1) Assume that the heights of men are normally distributed with a mean of 69.8 inches and a standard…

A: From the given information, The heights of men are normally distributed with a mean of 69.8 inches…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: We have to find given probability..

Q: Suppose that the quarterly price, X, of the stock of Company ABC is Normally distributed with mean…

A: Let X: the quarterly price of the stock of company ABCX~N(μ,σ)where mean (μ)=2.0and standard…

Q: Suppose that X1, X2, X3 and X4, are independent and identically distributed with a mean of 2.5 and a…

A: Given that X1, X2, X3, X4 are independent and identically distributed with mean of 2.5 and standard…

Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

A:

Q: If a random sample of 15 bolts is selected from your production process, compute the probability…

A: Let X denote the distribution of diameters of the bolt. Given that X follows N(mean = 1, SD = 0.1)…

Q: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: Solution-: Let, X= The heights of women  Given: \mu=63.6 inches, \sigma=2.5 inches ,n=100 We find,…

Q: Find the probability that 1 man has weight greater than 16O lb. Assume that weights of males are…

A: Consider X be the normal random variable which represents the weights of males.   Calculate the…

Q: An experiment is performed to determine whether the average nicotine content of one kind of…

A:

Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…

A: From the provided information, Mean (µ) = 45.0 lb Standard deviation (σ) = 7.9 lb X~N (45, 7.9) Let…

Q: Suppose that X is a normal random variable with a mean of μ=10. If we know that Pr[X<46]=Pr[Z<3.00],…

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Q: Let the random variable X represent the profit made on a randomly selected day by a certain store.…

A:

Q: Compute the standard score (Z-score) for x, when x = 21, the mean of the distribution = 27, and the…

A: Given that,X = 21Mean = 27Variance = 9

Q: ose the population of all public Universities shows the annual parking fee per student is normally…

A: mean = 110 standard deviation = 18 P(100&lt;x&lt;115) = ?