Concrete blocks are produced in lots of 2000. Each block has probability 0.85 of meeting a strength specification. The blocks are independent.
a. What is the probability that, in a given lot, fewer than 1690 blocks meet the specification?
b. Find the 70th percentile of the number of blocks that meet the specification.
c. In a group of six lots, what is the probability that fewer than 1690 blocks meet the specification in three or more of them?
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