For problems 18 & 19, if X is a standard normal variable, find the following probabilities. Round to four decimal places. 18. P(X 2 2.88) 19. P(- 0.45 < X < 1.63)

Q: If n = 15 and p = .4, then the standard deviation of the binomial distribution is

A: Obtain the standard deviation of the binomial distribution. The standard deviation of the binomial…

Q: When the sample standard deviation S is based on a random sample from a normal population…

A: Given that, EcS=2n-1Γn2σΓn-12 Unbiased estimator for σ of the form cS. EcS=σ

Q: If you were to calculate the mean from a frequency distribution and compare it with the true mean…

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Q: Find each of the following probabilities for a normal distribution  p(-1.80 &lt; z &lt; 0.20)

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Q: 5) If X has a normal distribution with mean 1 and variance 4, the P(X²-2X<8)=?

A: Given data: If X has a normal distribution  mean=  1 and variance = 4 To find; P(X²-2X&lt;8)=?

Q: If E (X) = ? and var(X) = ÷, find: 8 5° (a) Expected Value, E(2X – 3). (b) Variance, var(2X – 3). -

A: a)E2X-3=E2X-E3=2EX-3E1=258-31=108-3=54-3=5-124=-74

Q: Solve the following problems by supplying the needed information. The average number of calories in…

A: Given,mean(μ)=230standard deviation(σ)=10.1

Q: If X has a normal distribution with mean 1 and variance 4, the P(X^ 2 -2X<=8)=?

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Q: Suppose that when a Honda dealership sells a Honda Accord, the profit the dealership makes is…

A: Given , Mean = 1200 , Sigma = 350 X ~ N(0,1)

Q: For two groups of observations the following results were available: Group I E(X-5) = 8 E(X- 5)? =…

A: Given that  Then we have to find combine mean and standard deviation of two groups:

Q: Suppose that X has an exponential distribution with a mean of 35. What is P(X<7) ?

A: Given that, The provided mean is β = 35

Q: For questions 13-15. On the average, male drinks 2 liters when active outdoors with a standard…

A: From the provided information, Mean (µ) = 2 liters Standard deviation (σ) = 0.7 liter X~N (2, 0.7)

Q: ilures of an electrically powered water engine is 6 months and shows an exponential…

A: The average time or the mean for the exponential distribution is shown as:Mean=1/lambda The variance…

Q: For a sample with M = 10 and s = 2, a score of X = 13 would be considered an extreme score, far out…

A: According to range rule thumb if any observation is less than M – 2s, or greater than M + 2s, then…

Q: For questions 12-14, use the following table, where x represents the number of books read per month…

A: Given that  Probability distribution table  X 0 1 2 3 4 5 P(X) 0.09 0.14 0.31 0.33 0.09 0.04…

Q: If a random variable that is normally distributed has a mean of 25 and a standard deviation of 3,…

A: Let X be a random variable such that X~N25,32 The Z score is given by Z=x-253 a) Therefore, when x =…

Q: D. Solve the following problems. 1. If the scores for the test have a mean of 100 and a standard…

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Q: For problem 3, assume the random variable x is normally distributed with a mean of 86 and a standard…

A: Here, µ = 86 and σ = 5.

Q: If X is a normally random variable with a mean of 50 and a standard deviation of 8, how many…

A: The mean of the random variable is given as, μ=50 Also, the standard deviation of the random…

Q: Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.3, find the…

A: It is given that the mean and standard deviation are 43 and 6.3, respectively.

Q: A sample of n = 20 scores has a mean of M = 32 and a standard deviation of s = 6. In this sample,…

A: We have to find z score for x= 28....

Q: For a population with a mean of  μ = 50 and a standard  deviation of  σ = 10, compute the standard…

A: Mean = 50 Standard deviation = 10

Q: Given that x is a normal variable with mean u = 44 and standard deviation o = 6.3, find the…

A: We have given that X be a normal random variable with mean 44 and standard deviation 6.3.   Z-Score…

Q: For problems 7-10, assume the random variable x is normally distributed with a mean of 86 and a…

A: Given that, Mean = 86 Standard deviation = 5

Q: For a normal population with µ = 40 and σ = 15, find each of the following: p (X > 45) p…

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Q: For a sample with a standard deviation of s = 8, a score of X = 65 corresponds to z =1.50. What is…

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Q: Solve the following problems. 1. The random variable x represents the number of people you meet on…

A: Given data is  x 0 1 2 3 4 P(x) 0.02 0.18 0.30 0.40 0.10

Q: Problem 2. Assume that the height of adult women were normally distributed with a mean of 63 inches…

A: If n=36 P(X&lt;62)=?

Q: Find the mean and variance from the m. g.f.of binomial distribution.

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Q: For problems 7-10, assume the random variable x is normally distributed with a mean of 86 and a…

A: Given that, Mean = 86 Standard deviation = 5

Q: Hi need help with these problems, normal distribution, thank you.

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: For a binomial distribution mean is 6 and variance is 2. Find the P(X = 4). O 0.1024 O 0.0012 O…

A: Given : Also, The mean of the distribution (μx) is equal to n * P  = 6 The variance (σ2x) is n * p…

Q: Again, in the previous problems we simplified the arithmetic by multiplying each score in our…

A: Given data: 0,1,0.5,0,3,0.5,0,1

Q: Suppose the mean and standard deviation of the GPAs at school are  Xbar = 1.487; and s = 1.332…

A: Given: Let X be the random variable denoting the GPA of every student. and GPAs are normally…

Q: Find the mean and variance from the m. g. f.of binomial distribution.

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Q: For the following questions: Mean 10 and Standard Deviation of 5. Assume that the population is…

A: Given information- Population mean, µ = 10 Population standard deviation, σ = 5 Let, X be the random…

Q: What is the z-score of x = 9 if it is 1.5 standard deviations to the left of the mean? a. z= + 1.50…

A: The given information is- x = 9 is 1.5 standard deviations to the left of the mean. So, for this…

Q: Given that x is a normal variable with mean μ = 109 and standard deviation σ = 13, find the…

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Q: For problems 7-10, assume the random variable x is normally distributed with a mean of 86 and a…

A: From the provided information, Mean (µ) = 86 Standard deviation (σ) = 5 X~N (86, 5)

Q: Suppose that X has the normal distribution for which the mean is 1 and the variance is 4. Find the…

A: It is given that X follows N(mean = 1, SD = √4 = 2), then Z = (X - mean)/SD follows N(0,1)

Q: Use the following information to answer questions 1, 2, and 3. 1. Suppose that x has a normal…

A: Solution

Q: Question 1: Suppose that 36% of all university students regularly eat breakfast. In a random sample…

A: Note: According to our guidelines we can answer only first question and rest can be reposted.

Q: Where appropriate, work the following binomial distribution problem by using the normal curve. P(x≥…

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Q: For a sample with a standard deviation of s = 8, a score of X = 42 corresponds to  z = –0.25 what is…

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Q: 2.Find the variances if the standard deviation are: .s = 7.3 s2 %3D S- 69

A: a. s=7.3 s2=7.32   =53.29

Q: Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.1, find the…

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Q: Question 8 On the distant planet Cowabunga , the weights of cows have a normal distribution with a…

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Q: For a population with a mean of μ= 100 and a standard deviation of σ=20,  Find the  X values that…

A: Obtain the value of the random variable X if the Z-score equals –0.40. The value of the random…

Q: If n = 20 and p = 0.90, then the standard deviation of the binomial distribution is

A: Given: n= 20 p=0.90

Q: In a sample with M = 60 and s = 10 a score of X = 70 corresponds to a z-score of z = +1.00 because…

A: