Given a normal distribution with u = 100 and o = 10, c. What is the...
number? 10 3. Let X be a continuous random variable with a standard normal distribution. a. Verify that P(-2 < X < 2) > 0.75. b. Compute E(지)· 110]
6. Let X be a normal random variable with mean u = 10. What is the standard deviation o if it is known that p (IX – 101 <>) =
For n = 100 and 1=0.4, use the normal distribution to approximate the following probabilities. a. X = 30 b. X>30 c. XS 30 d. X < 30 a. The approximate probability that X = 30 is (Round to four decimal places as needed.)
Suppose that X is a random variable that has a normal distribution with mean u= 5 and standard deviation o = 10. Evaluate the following probabilities: (a) Pr(X > 10) (b) Pr(X < 2) (c) Pr(6 < X < 11) (d) Pr((X – 10)2 < 12)
PROB5
Let U and V be independent r.v's such that the p.d.f of U is fu(u) = { 2 OSU< 27, otherwise. and the p.d.f'of2 is Seu, v>0, fv (v otherwise. Let X = V2V cos U and Y = 2V sin U. Show that X and Y are independent standard normal variables N(0,1).
Look at the image, thank you.
For a standard normal distribution, find c if P(z>c) = 0.6906 c=
Problem 05.003 Write the differential equation for ic att>O in the given figure. O
For n = 80 and 1 = 0.6, use the normal distribution to approximate the following probabilities. a. X= 50 b. X> 50 c. X 550 d. X<50 a. The approximate probability that X = 50 is 17. (Round to four decimal places as needed.)
Given a normal distribution with μ-100 and σ-6, and given you select a sample of n-9, complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table a. What is the probability that X is less than 95? P(X 95) Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is...
For n = 40 and 1 = 0.4, use the normal distribution to approximate the following probabilities. a. X=25 b. X> 25 c. X s 25 d. X<25 . a. The approximate probability that X = 25 is (Round to four decimal places as needed.)