$MathMaster logo$

MathMaster

Home
general
if x1 and x2 are independent standard normal variables find p x1 2 x2 2 2 41

Question

If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)

235

likes

1177 views

Answer to a math question If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)

$Expert avatar$

4.4

106 Answers

looking at chi square table. at df=2 the area at less than 2.41 = 0.30 P(X>2.41)=1-0.3 P(X>2.41)=0.7

Frequently asked questions (FAQs)

What is the value of the constant 'c' in the function f(x) = c, if f(4) = 9?

+

Question: Find the square root of 82.345 subtracted from the square root of 64.02, divided by the square root of 7.1. (

+

Math Question: Given the quadratic function f(x) = 2x^2 + 5x - 3, find the x-values where the graph intersects the x-axis.

+

New questions in Mathematics

A=m/2-t isolate t

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

By differentiating the function f(x)=(x³−6x)⁷ we will obtain

Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places

(2x+5)^3+(x-3)(x+3)

find f(x) for f'(x)=3x+7

suppose random variable x follows poisson distribution with expected value 3. what is variance of x?

A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall

1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?

For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?

Find the zero of the linear function 8x + 24 = 0

A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?

The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?