Kindly send answers in handwritten:

The probability of a successful optical alignment in the assembly of an optical data storage product is 0.92. Assume trials are independent.

a. What is the probability that the first successful alignment requires at least three trials?

b. What is the probability that the first successful alignment requires exactly three trials?

c. What is the probability that the first successful alignment requires at most three trials?

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 150 cards, and 25 ate selected without replacement for functional testing.

a. If 5 cards are defective, what is the probability that at least 1 defective card appears in the sample?

b. If 25 cards are defective, what is the probability that at least 1 defective card is in the sample?

NOTE: THREE DECIMAL PLACES AND SEND HANDWRITTEN SOLUTIONS. THANK YOU