Let 'm' be the average number of accidents per day on the express highway. To test Ho: m = 3 against H₁ : m = 4, the total number of accidents for seven days are found. It is decided to reject H, if the total accidents for seven days s 25 or more. Find P (type I error). [Hint: Total accidents in seven days can be considered as a Poisson variate with mean 7m. Use normal approximation to Poisson distribution.]

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