The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several lakes in your water district. A total of 10 devices will be used. Assume that each device has a probability of 0.01 of failure during the course of the monitoring period. What is the probability that none of your devices fail

The probability that none of the devices fails happens when x = 0.

P(none fail) = 1(0.01)^(0)•(1 - 0.01)^(10)

P(none fail) = (0.01)^0•(0.99)^(10)

P(none fail) = 0.90438

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x