Find P(X-bar > 15.5)
n=81, Mean=15, SD=1
p(103<x<115) mean 100 draw a graph and find the probability sd: 15
2pt 01 M X-N(42,10) and X is computed from a random sample of size n=81, what is the distribution of 2pt Q2. If X-N(42,10) and X is computed from a random sample of size n=16, what is the distribution of a 2pt 23: When constructing a confidence interval for a mean, what are the two fundamentally different scenarios we would be working under? 2pt Q4 Interpret the following probability statement into a complete sentence: P(x-bar> 20.26) - 0.8084 2pt 05...
(20 points) Suppose X~N(25, 81). That is, X has a normal distribution with μ-25 and σ-81 la. Find a transformation of X that will give it a mean of zero and a variance of one (ie., standardize X lb. Find the probability that 18 < χ < 26. lc. Supposing Y10 +5X, find the mean of Y ld. Find the variance ofY
Let X-Binomial(n = 10, p = 0.2). Find the mean of X. 01 Question 6 (1 point) LetX~Binomial(n = 100, p = 0.2). Find the standard deviation of X.
Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=4. Find the indicated probability.P(x<81)
(20 points) Suppose X-N(25, 81). That is, has a normal distribution with μ-25 and σ2-81. la. Find a transformation of X that will give it a mean of zero and a variance of one (ie., standardize X). lb. Find the probability that 18<x < 26. 1c. Supposing Y = 10 +5X, find the mean of Y 1d. Find the variance of Y
Question 3 1 Point Suppose X-N(5,2), i.e., X has a normal distribution with mean 5 and sd 2. If Y = sin(x), then the change-of-variable technique can be used to find the pdf of Y. True False Question 4 1 Point If X1-N(10, 1) and X2-N(11,2), i.e., X, has mean 10 and sd 1 and X2 has mean 11 and sd 2, then the distribution of Y = 2X1 +3.5X2 is which of the following? A N(21,3) B (21,9) N(58.5,...
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8). 1. Let X~b(x; n, p) (a) For n 6, p...
Let X bar be the sample mean of 25 independent normal random variables with mean u and variance 9. Find the value of u so that: p{X bar<1.5} = 0.85
The mean is 60 with an SD of 15. What is the probability of selecting at random a score that falls between 55 and 65?