Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: f(x, y)= xe^−x(1+y)  for x≥0 and y≥0
0 Otherwise

a. What is the probability that the lifetime X of the first component exceeds 3?
b. What is the probability that the lifetime of at least one component exceeds 3?
c. Are the two lifetimes independent?

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.