3. Mr. Voss and Mr. Cull bowl every Tuesday night. Over the past few years, Mr. Voss's scores have been approximately Normally distributed with a mean of 212 and a standard deviation of 31. During the same period, Mr. Cull's scores have also been approximately Normally distributed with a mean of 230 and a standard deviation of 40. a. Assuming their scores are independent, what is the probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night? V:M=212 6= 31 C: M=230 6=40 M=212-230=-18 6? - ५० b. Assuming their scores are independent, what is the probability that Mr. Cull scores more than 50 points higher than Mr. Voss on a randomly-selected Tuesday night?

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I don’t get why the Standard deviation for 3a is 50.61. How do you calculate it
3. Mr. Voss and Mr. Cull bowl every Tuesday night. Over the past few years, Mr. Voss's scores have
been approximately Normally distributed with a mean of 212 and a standard deviation of 31.
During the same period, Mr. Cull's scores have also been approximately Normally distributed with
a mean of 230 and a standard deviation of 40.
a. Assuming their scores are independent, what is the probability that Mr. Voss scores higher
than Mr. Cull on a randomly-selected Tuesday night?
V: M=212 6= 31
M=212-230=18
Oh = 9 o2= :
6?-4
b. Assuming their scores are independent, what is the probability that Mr. Cull scores more than
50 points higher than Mr. Voss on a randomly-selected Tuesday night?
Transcribed Image Text:3. Mr. Voss and Mr. Cull bowl every Tuesday night. Over the past few years, Mr. Voss's scores have been approximately Normally distributed with a mean of 212 and a standard deviation of 31. During the same period, Mr. Cull's scores have also been approximately Normally distributed with a mean of 230 and a standard deviation of 40. a. Assuming their scores are independent, what is the probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night? V: M=212 6= 31 M=212-230=18 Oh = 9 o2= : 6?-4 b. Assuming their scores are independent, what is the probability that Mr. Cull scores more than 50 points higher than Mr. Voss on a randomly-selected Tuesday night?
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