The lifetime in months of a transistor in a certain application is random with probability density function:

f(x) = {0.4e^-0.4x, x> 0 0, x< 0

a. compute the mean lifetime.

b. compute the standard deviation of the lifetimes.

c. compute the cumulative distribution function of the lifetime.

d. compute the probability that the lifetime will be less than 6 months.

e. compute the 60^th percentile of the lifetime.

The jurassic zoo charges $14 for each adult admission and $5 for each child. the total bill for 77 people from a school trip was $565. how many adults and how many children went to the zoo? i

Which function has the domain x> -11?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)