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4.4.14 (a) Work the problem as stated in the text. Change θ = 1/10 to λ = 1/10. (b) Determine the exact distribution of the total time that the 40 components will last (Hint: use the mgf). Then use the function pgamma in R to find the exact probability and compare it to the normal approximation. (c) Same as the question in the text except change the number of components to 50. (d) Same as (b) except for 50 components

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