Let X have a normal distribution with µ=10 and σ=2. Transform X to the standard normal form Z. Match P(X>14).
a) p(z<-1)
b) p(z<-2)
c) p(-2<z<2)
d) p (z>2)
Let X have a normal distribution with µ=10 and σ=2. Transform X to the standard normal...
Let X have a normal distribution with µ=10 and σ=2. Determine the probability or area in the normal curve for which P(8<X<12). a)0.75 b)0.2275 c)0.05 d)0.6827
Let X have a normal distribution with µ=10 and σ=2. Determine the probability or area in the normal curve for which P(8<X<12).
Suppose Z has a standard normal distribution with µ = 0 and σ = 1. Find z0 such that P(Z < z0) = 0.67 a. z0 = 0.17 b. z0 = 0.2486 c. z0 = 0.44 d. z0 = 0.95
Given a standard normal distribution (SND) with µ = 70 and a σ = 10, what is the area under the curve above X1 = 70? Given a standard normal distribution (SND) with µ = 70 and a σ = 10, what is the area under the curve above Z1 = 0?
Example 1. Assume that the random variable X follows the Normal distribution with mean 75 and standard deviation 10. Use Python to(a) Compute P(65 < X < 85) and interpret the findings(b) Compute P(55 < X < 95) and interpret the findings(c) Compute P(X > 100) and interpret the findingsExample 2. Assume that the random variable X follows the Normal distribution with mean µ and standard deviation σ. Compute (a) P(µ − σ < X < µ + σ) (b) P(µ −...
Let X be normal with mean μ and standard deviation σ. a) The cumulative distribution satisfies F(σ) = 50% b) X is bimodal with modes as μ- σ and μ+σ c) F(μ-σ) = 1-F(μ+σ) d) Z = (X-μ)/σ is the standard unit normal. e) If a<c<b, the (F(b)-F(a))>(F(c)-F(a))
Given a normal distribution with µ = 100 and σ = 10, if you select a sample of n = 25, what is the probability that ? is Between 95 and 97.5? (a) 0.9878 (b) 0.0994 (c) 0.9500 (d) 0.8616 8. Given a normal distribution with µ = 100 and σ = 10, if you select a sample of n = 25, there is a 64.8% chance that ? is above what value? [Hint find A such that P(?� >A)=0.648]...
What percent of a standard normal distribution N(µ = 0,σ = 1) is found in each region? Be sure to draw a graph. A. |Z| > 2
Let X1, . . . , Xn ∼ iid log Normal (µ, σ^2 ) for σ^ 2 known. Find the LRT for H0 : µ = µ_0 vs H1 : µ not= µ_0. f(x)=(2π)^(-1/2)(xσ)^(-1)*exp(-(ln x-µ)^2 /(2σ^2))
A normal distribution has a mean of µ = 70 with σ = 10. If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 82? a.0.3849 b.0.7698 c.0.1151 d.0.8849 n a sample with M = 40 and s = 8, what is the z-score corresponding to X = 38? a.–0.25 b.+ 0.25 c.0.50 d.–0.50 In a population of N = 10 scores, the smallest score is X =...