Random variable having an exponential distribution

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A single observation of a random variable having an exponential distribution is used to test the null hypothesis that the mean of the distribution is θ = 2 against the alternative that it is θ = 5. If the null hypothesis is accepted if and only if the observed value of the random variable is less than 3, find the probabilities of type I and type II errors.

Reference no: EM131137870

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