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The length of time in years until a particular radioactive particle decays is a random...

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Calculus

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The length of time in years until a particular radioactive particle decays is a random variable t with probability density function defined by f t 5e 5t for t in 0 00 Find a the mean of the distribution b the standard deviation of the distribution and c the probability that the random variable is between the mean and the 1 standard deviation above a The mean of the distribution is years Round to two decimal places as needed b The standard deviation of the distribution is Round to two decimal places as needed c Set up the integral necessary to find the probability that a random variable is between the mean and 1 standard deviation above the mean Sat years What is the probability that a random variable is between the mean and 1 standard deviation above the mean The probability is Round to four decimal places as needed

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