Question

You perform heart surgeries every day. The duration of a heart operation is a normally distributed variable (symmetric distribution) with a mean of 170 minutes and a standard deviation of 14 minutes because you are a rock star heart surgeon. You tell your patient's family that _____ percent of your surgeries take you between 156-188 minutes to finish. a. 68 b. 95 c. 99 d. 100 

          You perform heart surgeries every day. The duration of a heart operation is a normally distributed variable (symmetric distribution) with a mean of 170 minutes and a standard deviation of 14 minutes because you are a rock star heart surgeon. You tell your patient's family that _____ percent of your surgeries take you between 156-188 minutes to finish.
a. 68
b. 95
c. 99
d. 100
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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You perform heart surgeries every day. The duration of a heart operation is a normally distributed variable (symmetric distribution) with a mean of 170 minutes and a standard deviation of 14 minutes because you are a rock star heart surgeon. You tell your patient's family that _____ percent of your surgeries take you between 156-188 minutes to finish. a. 68 b. 95 c. 99 d. 100
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Transcript

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00:02 Hello students, according to the given question we have to find the x value.
00:06 So given the mean mu is equal to 204 and sigma is equal to 25 .7.
00:15 Here x will follows normal distribution with mean mu and variance sigma square.
00:22 It was given that probability of x less than x is equal to 8 percent.
00:28 That implies probability of x minus mu is divided by sigma less than x minus 204 divided by 25 .7 is equal to 0 .08.
00:43 From z table x minus 204 is divided by 25 .7 is equal to minus 1 .41...
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