$MathMaster logo$

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)

Question: Convert 3.5 kilograms to pounds.

+

How many different ways can a committee of 5 people be chosen from a group of 10?

+

Question: Calculate the value of 3x² + 5x + 2 when x = -2 using the distributive property.

+

New questions in Mathematics

Y=-x^2-8x-15 X=-7

A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?

Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.

If L (-2, -5) reflected across y = -4. What are the coordinates of L?

A, B, C and D are numbers; If ABCD = 23, What is the result of ABCD BCDA CDAB DABC operation?

What’s 20% of 125?

A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)

is the x element (180,270), if tanx-3cotx=2, sinx ?

If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?

prove that if n odd integer then n^2+5 is even

There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?

Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%

A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and

Derivative of 2x

X^3 - x^2 - 4 = 0, what are the values of x?

y′ = 2x + 3y x′ = 7x − 4y x(0) = 2 y(0) = −1 sisteminin ¸c¨oz¨um¨un¨u bulunuz. (Lineer Denk. Sis.)

Identify the slope and y intercept y=11+2/3x

For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.

calculate the product of 4 and 1/8