Given a normal distribution with u = 100 and o = 10, c. What is the...

Question

Question

Given a normal distribution with u = 100 and o = 10,

c. What is the probability that X < 75 or X>110? The probability that X < 75 or X>110 is .8475.

math Statistics-And-Probability

Answer 1

Answer #1

Ans- 100, 8= 10 - XN Normal (4,8) We want to find, P(x275 os x) 110) = P(x(75) + P(x > 110) = P ( x 754) + P(x10 ** (z ( 75-

Answer 2

Similar Homework Help Questions

6. Let X be a normal random variable with mean u = 10. What is the...

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 <>) =
number? 10 3. Let X be a continuous random variable with a standard normal distribution. a....

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]
For n = 100 and 1=0.4, use the normal distribution to approximate the following probabilities. a....

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...

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)...

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) =...

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

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...

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.)
For n = 40 and 1 = 0.4, use the normal distribution to approximate the following...

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.)

Problem 2 If the cumulative distribution function of X is given by o F(b) = b<0...

Problem 2 If the cumulative distribution function of X is given by o F(b) = b<0 0<b<1 1<b<2 2<b<3 3<b<3.5 b> 3.5 1 calculate the probability mass function of X.