please send me answer in type form strictly prohibited handwritten solution and don't use AI show your own work with step by step explanation.

Question 2 : You are ordering CPUs from a chip manufacturer , Making CPUs is a delicate process , and invariably some do not work . The chip manufacturer manufactures 1000 CPUs . 75 of the CPUs are defective . and are distributed uniformly at random throughout the 1000 CPUs . You purchase 150 CPUs from the company

a ) What is the probability that none of the CPUs you bought are defective ?

b ) What is the probability that at least one of the CPUs you bought is defective ?

c ) What is the probability that you get all 75 defective CPUs ?

d ) What is the probability that 20 or more of the CPUs you bought are defective ? [ discrete math ]