d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).

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A: *Answer:

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Q: What proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: For a normal distribution with μ = 30, σ = 5 and z = 1.3, find the value of x

A: According to the provided information, μ = 30, σ = 5 and z = 1.3

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Q: Suppose that X-bin(75,0.2). Using the normal approximation to the binomial distribution, P(14.< X <…

A: Given,n=75p=0.2mean(μ)=np=75×0.2=15standard deviation(σ)=np(1-p)σ=75×0.2×0.8σ=3.4641

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

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Q: A vertical line is drawn through a normal distribution at z = 0.80. What proportion of the…

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Q: Estimate​ P(6) for n=18 and p=0.3 by using the normal distribution as an approximation to the…

A: Given that, Sample size, n = 18 Probability, p = 0.3

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Q: X is normal distributed with mean and standard deviation σ. What is P(X < µ)?

A: Provided information: Mean = μ Standard deviation = σ

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Q: 2. Let x be a normal distribution with mean u and standard deviation a.What is the z score that…

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A: P(Z&gt;1.78)=?

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Q: For a normal distribution with µ = 64 and σ = 9,

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Q: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.

A: Z = 2.000 p = 0.0228

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Q: A verticle line is drawn through a normal distribution at z=.80. What proportion of the distribution…

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A: Given that, Z = -0.60 and Z = 0.60

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Q: 22. When one is using the standard normal distribution, P(z < 0) = can not be determined 1 0.5

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Q: 31. If X is a normal variate with mean 2 and S.D 3, find the -1a Also find p Y 2 distribution of Y =…

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Q: d) For a standard normal distribution, find the probability a score is more than 1.31 standard…

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A: Given: Mean μ=15.2S.D, σ=0.9

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Q: Find and graph the probability Pr⁡(Z ≤ 2.054) using the standard normal distribution: μ= 0,σ =1.

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Q: 6. If X has a normal distribution with mean µ=18 and o = 3 find

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