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A Table Saw Cuts Construction Studding 10.52π\frac { 1 } { 0.5 \sqrt { 2 \pi } }

Question 78

Multiple Choice

A table saw cuts construction studding. Observation has shown that the lengths of the studs are normally distributed with a mean of 10 feet and a standard deviation of 6 inches. Which of the following correctly represents the probability that a randomly chosen stud exceeds 11 feet?


A) 10.52π\frac { 1 } { 0.5 \sqrt { 2 \pi } } 11e(1/2) [(x10) /0.5]2dx\int _ { 11 } ^ { \infty } e ^ { ( - 1 / 2 ) [ ( x - 10 ) / 0.5 ] ^ { 2 } } d x
B) 1π\frac { 1 } { \sqrt { \pi } } 9.510.5e[(x10) /5]2dx\int _ { 9.5 } ^ { 10.5 } e ^ { - [ ( x - 10 ) / 5 ] ^ { 2 } } \mathrm { dx }
C) 12π\frac { 1 } { \sqrt { 2 \pi } } 9.510.5ex2/2dx\int _ { 9.5 } ^ { 10.5 } e ^ { - x ^ { 2 } / 2 } d x
D) 12π\frac { 1 } { \sqrt { 2 \pi } } 11ex2/2dx\int _ { 11 } ^ { \infty } e ^ { - x ^ { 2 } / 2 } d x
E) none of these

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