Given that µ = 49 and σ = 5.5. Find:
P (x ≥ 32)
P (x ≤ 55)
P (35 ≤ x ≤ 53)
If x is normally distributed with µ = 283 and σ = 21 ,find P(x > 360).
A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution? a.58 b.55 c.61 d.53 On an exam with μ = 52, you have a score of X = 56. Which value for the standard deviation would give you the...
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]...
Given that x is a normal variable with mean μ = 49 and standard deviation σ = 6.2, find the following probabilities. (Round your answers to four decimal places.) P(50 ≤ x ≤ 60)
Compute the probability for a random variable X with µ=10 and σ=2. Calculate P(9 < X < 11).
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))
Given that X has a Normal Distribution with mean µ=140 and standard deviation = 28 Find P(X ≤ 112) to 4 decimal places. Show your work. If you only give the answer: no credit.
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?
For a normal distribution of raw scores with µ= 75, σ = 8, answer the following. What is the probability of p(71 < X < 83) ? __________ Find the percentile ranking for the raw score X = 65th ______ percentile
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)