Tutorial solutions week 7

The times to complete the two stages of production

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Unformatted text preview: endently distributed. Note that the sum of two normally distributed random variables is also normally distributed. Let X1 be the time taken for the first stage and X2 the time taken for the second stage. Then Y = X1 + X2 is the time taken to complete an article. (a) What are the mean and standard deviation of the total time to manufacture the article? () ( ) () ( ( ) ) ( ( ) ) ( ) Note that independence is used in the calculation of the Var(Y) (b) What proportion of articles will be completed in 35-45 minutes? ( ) ( ) ( ) ( ) 6. Project Review: Be prepared to discuss the progress that you have made with the Project. You should at least have some summary statistics and ideas for useful graphical display of the data...
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