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In a certain store, there is a .05 probability that the scanned price in the bar code scanner will not match the advertised price. The cashier scans 820 items.

a) What is the expected number of mismatches and standard deviation? (Round your expected number of mismatches to 1 decimal place and standard deviation answer to 4 decimal places.)

b) What is the probability of at least 22 mismatches? (Round your answer to 4 decimal places.)

c) What is the probability of more than 32 mismatches? (Round your answer to 4 decimal places.)

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