After an electrical circuit component operates there is some

After an electrical circuit component operates, there is some electrical charge remaining on the circuit. This is called the residual charge and it varies evenly between 50 and 110 Coulombs. Let E represent the residual charge on the electronic circuit component.

a) Find the probability the residual charge is at most 84 Coulombs. What distribution and parameters are you using? (5 points)

b) Given that the residual charge is between 62 and 75 Coulombs, find the probability it is less than 68. (4 points)

c) Only 14% of residual charges in this electrical circuit component are higher than y Coulombs. Calculate y. (4 points)

Solution

After an electrical circuit component operates, there is some electrical charge remaining on the circuit. This is called the residual charge and it varies evenly between 50 and 110 Coulombs. Let E represent the residual charge on the electronic circuit component.

a) Find the probability the residual charge is at most 84 Coulombs. What distribution and parameters are you using? (5 points)

The charge varies evenly.uniform distribution is used with a=50 and b=110

p( x <=84) = (84-50)/(110-50) = 0.5667

b) Given that the residual charge is between 62 and 75 Coulombs, find the probability it is less than 68. (4 points)

P( x < 68)=( 68-62)/(75-62) == 0.4615

c) Only 14% of residual charges in this electrical circuit component are higher than y Coulombs. Calculate y. (4 points)

110-50=60

14% of 60=8.4

The required answer 110-8.4

= 101.6