I Given f(x) = 3x + 2 and g(x)= x? – 5. Find each of the following functions. 1. (f+g)(x)
2. (f- g)(x)
3. (fg)(x)
4. (f/g)(x)
2

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Present age of man is 45 years, 5 years back his age was 4 times age of his son what is present age of his son?

Calculate the effective quarterly compound interest rate equivalent to a 1% of monthly compound interest rate.