What is the probability that at least one component fails

Assignment Help Basic Statistics

Reference no: EM13641274

Suppose a new type of artificial heart has been developed. The heart has three moving parts that are subject to failure. In a given time interval the probability that component A fails is 0.1, the probability that component B fails is 0.15, and the probability that C fails is 0.05. Assume that these failure events are independent.

a) What is the probability that at least one component fails in the time interval?

b) Given that at least one component failed, what is the probability that component A failed?

c) If both components A and B fail, the heart will fail. If component C fails, the heart will fail. What is the probability that A failed given that the heart has failed?

Reference no: EM13641274

Questions Cloud

Calculate the top speed at sea level of the vehicle if the : the 2012 lamborghini muricielago has a 640 horsepower engine drag coefficient of .33 and a cross sectional area of 2.35

An electron moves at a speed of 600 ms directly toward a : an electron moves at a speed of 60.0 ms directly toward a stationary electron when the two electrons are 1.00 m apart.

1 what is the difference between the electric field : 1. what is the difference between the electric field electric potential and the force exerted by the electric field?2.

If the oxalic acid in a 500 ml of aqueous spinach extract : if the oxalic acid in a 50.0 ml of aqueous spinach extract was titrated with 0.0250 molarity naoh and the 1st

What is the probability that at least one component fails : suppose a new type of artificial heart has been developed. the heart has three moving parts that are subject to

Calculate thermal efficiency and mean effective pressure : an ideal otto cycle has a compression ratio of 5.3. at the beginning of the compression process p190 kpa t127 c and

Develop a method for testing hydrogen peroxide solutions : develop a method for testing hydrogen peroxide solutions available at the supermarket or drugstore. devise strategies

What is the maximum positive velocity reached by the : the position of a particle moving along an x axis is given by x 13.0t2 - 2.00t3 where x is in meters and t is in

The oxidizing power of household bleach solutions can be : the oxidizing power of household bleach solutions can be lost when they are exposed to heat or sunlight or due to

User Account

All Pages