Times for a surgical procedure are normally distributed. there are two methods. method a has a mean of 33 minutes and a standard deviation of 8 minutes, while method b has a mean of 37 minutes and a standard deviation of 4.0 minutes. (a) which procedure is preferred if the procedure must be completed within 34 minutes?

Method A.

Step-by-step explanation:

For solving this question we need to find out the z-scores for both methods,

Since, the z-score formula is,

Where, is mean,

is standard deviation,

Given,

For method A,

Thus, the z score for 34 is,

While, for method B,

Thus, the z score for 34 is,

,

Since,

Hence, method A is preferred if the procedure must be completed within 34 minutes.

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see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph