A batch of 100 motors has been manufactured and andy and

Assignment Help Basic Statistics

Reference no: EM13617841

1. A batch of 100 motors has been manufactured, and Andy and Bob are applying a standard stress test to them. Andy is assigned 40 motors to test, and Bob is assigned the remaining 60 motors to test. Each motor has probability p of failing; assume the motors and tests are independent. Let X be the number of failures among Andy's motors, Y be the number of failures among Bob's motors, and let T = X + Y.

A. Calculate the conditional probability P(X = x|T = t).

B. Can you identify this probability distribution?

C. Find expressions for E(X|T) and V ar(X|T), as functions of T.

2. Suppose the probability that it rains on any given day is 20%, and that days are independent. On any rainy day, the amount of rainfall follows an Expo(2) distribution. Calculate the mean and variance of the total rainfall during a 30-day month.

Reference no: EM13617841

Questions Cloud

For this maximum flowrate determine the values of static : standard atmospheric air at stagnation conditions t0 59 degree f p0 14.7 psia is drawn steadily through a

A sample of women were divided into four age groups group : a sample of women were divided into four age groups group a 20-45.9 group b 46.0-55.9 group c 56.0-65.9 and group d 66

Assessment matters assessment matters as a teacher you : assessment matters ltbrgt ltbrgtas a teacher you need to have solid knowledge of formative and summative assessment

Design 2-shell pass and 8-tube pass heat exchanger for : design 2-shell pass and 8-tube pass heat exchanger for heating ethyl alcohol from 25degc to 70degc at a rate of 2.9

A batch of 100 motors has been manufactured and andy and : 1. a batch of 100 motors has been manufactured and andy and bob are applying a standard stress test to them. andy is

At one instant the center of mass of a system of two : at one instant the center of mass of a system of two particles is located on the -axis at 2.0m and has a velocity of

The gas undergoes complete combustion with 120 of the : a power generator burns natural gas consisting of 30 ethane 60 methane and the balance nitrogen. the gas undergoes

Two sinusoidal waves with the same amplitude a and : two sinusoidal waves with the same amplitude a and frequency f travel in opposite directions along a long string. you

Find the equation for max stress and strain in the beam at : uniform beam with 2 supports has a total length l. pinned at a and roller at b. force f is applied at the center of the

User Account

All Pages