Question: The probability that a certain type of IC chip will fail after installation is 0.06. A memory board for a computer contains twelve such chips.

The probability that a certain type of IC chip will fail after installation is 0.06. A memory board for a computer contains twelve such chips. The operation will be satisfactory if ten or more of the chips on the board do not fail.

a) What is the probability that a memory board operates satisfactorily?

b) If there are five such memory boards in a given computer, what is the probability that at least four of them operate satisfactorily?

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