What is the probability that only tractor no.1 is in good

Reference no: EM13562695

A construction firm purchased 3 tractors from a certain company. At the end of the fifth year, let E1, E2, E3 denote, respectively, the events that tractors no. 1, 2, and 3 are still in good operational condition.

Past experience indicates that the chance of a given tractor manufactured by this company having a useful life longer than 5 years (i.e., in good condition at the end of the 5th year) is 60%. If one tractor needs to be replaced (not in good operational condition) at the end of the 5th year, the probability of replacement for one of the other two tractors is 60%; if two tractors need to be replaced, the probability of replacement of the remaining one is 80%.

a. What is the probability that only tractor no. 1 is in good condition?

b. What is the probability that exactly one tractor is in good condition?

c. What is the probability that at least one tractor is in good condition?

Reference no: EM13562695

Questions Cloud

Determine the amount of air that must be bled off : The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25°C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m3, determine the pressure rise in the tire when the air tempe..

What is the tracks radius of curvature at this instant : A race car C is being tracked via telemetry. The on-board acclerometer records and acceleration level of -.7get+.5gen. If you know that the v at this instant is 200km/hr, what is the tracks radius of curvature at this instant?

What pressure in psi must be applied to water : A researcher is conducting an evaporation study using a 5ft diameter evapoartion pan with 75lbs of water. Over the course of 3days, she added another 6lbs of water and at the end of 3days, there was 67lbs of water remaining. A nearby rain gage record..

Express these components fp and fn : The force F=10i+12j-6k(N). (a) Determine the magnitude of the projected components of F acting parallel Fp and normal Fn to line OA. (b) Express these components Fp and Fn in Cartesian vector notation.

What is the probability that only tractor no.1 is in good : A construction firm purchased 3 tractors from a certain company. At the end of the fifth year, let E1, E2, E3 denote, respectively, the events that tractors no. 1, 2, and 3 are still in good operational condition.

Solubility of a substance which dissolves with an increase : Solubility of a substance which dissolves with an increase in volume and liberation of heat will be favoured by the A. low pressure and high temperature. B. low pressure and low temperature. C. high pressure and low temperature. D. high pressure and ..

Find the final temperature using the three methods : It is desired to compare the results of property predictions for water near or in the saturation region using (a) the ideal gas equation, (b) the compressibility chart and

Find the temperature of the contents in the cylinder : Consider a piston/cylinder arrangement that has a linear spring mounted such that as the piston rises to a certain point it will encounter the spring, which will offer a downward component of force as the piston rises further. Initially the cylinder..

Determine dry unit weight of the fill : A 2 m high sandy fill material was placed loosely at a relative density of 47%. Laboratory studies indicated tht the maximum and minimum void ratios of the fill material are 0.92 and 0.53, respectively

User Account

All Pages