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Ten identical computers are subjected to excessive hot operating conditions. Based on past experience, there is...

Ten identical computers are subjected to excessive hot operating conditions. Based on past experience, there is a 20% chance of failure for any given computer. Find the probabilities of the following events:

• None fail.

• All fail.

• At least one fails.

• Exactly one fails.

Let Y denote the stochastic variable giving the number of failures. Compute the expectation E(Y ) and the variance Var(Y) of Y .

math   Statistics-And-Probability   
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