The probability that a certain type of chip will fail after installation is 0.15. A memory board for a computer contains 5 such chips. The operation will be satisfactory if two 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 six such memory boards in each computer, what is the probability that five of them operate satisfactorily? c) Find the probability that the seventh chips installed is the third chip that fails after installation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The probability that a certain type of chip will fail after installation is 0.15. A memory board for
a computer contains 5 such chips. The operation will be satisfactory if two 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 six such memory boards in each computer, what is the probability that five of
them operate satisfactorily?
c) Find the probability that the seventh chips installed is the third chip that fails after
installation.
Transcribed Image Text:The probability that a certain type of chip will fail after installation is 0.15. A memory board for a computer contains 5 such chips. The operation will be satisfactory if two 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 six such memory boards in each computer, what is the probability that five of them operate satisfactorily? c) Find the probability that the seventh chips installed is the third chip that fails after installation.
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