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

Name: Solved: If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41) - MathMaster
Brand: MathMaster
Rating: 4.9 (235 reviews)

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)

$Expert avatar$

Jayne

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 surface area of a rectangular prism with dimensions 5cm x 7cm x 10cm?

What is the slope of a line passing through the points (-2, 3) and (5, 8)?

What is the average score of a class comprising 30 students, if the highest score is 100, the lowest score is 65, and the rest of the scores are evenly distributed between them?

New questions in Mathematics

How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?

calculate the following vector based on its base vectors a= -18i,26j

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.

A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?

Equivalent expression of the sequence (3n-4)-(n-2)

the probabilty that a person has a motorcycle, given that she owns a car 25%. the percentage of people owing a motorcycle is 15% and that who own a car is 35%. find probabilty that a person owns any one or both of those

how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together

A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.

How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.

The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?