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Nationwide tests indicate that about 30% of 12-year-olds can identify the state of Colorado on a...

Nationwide tests indicate that about 30% of 12-year-olds can identify the state of Colorado on a map of the United States. Suppose we select a random sample of 20 12-year-olds, and ask them to identify the state of Colorado on a map of the United States.What is the probability that 8of them will be successful? Please show all work

What is the probability that 8of them will be successful?

What is the probability that at most 8of them will be successful?

What is the probability that more than 8of them will be successful?

How many of them do we expect to be successful?

What is the probability that the number who will be successful is within 1 standard deviation of the expected number of successes?

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