Week 8 - range=12-1=11 mean=6.71...

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1. How many different types of menus are available if each menu must include 4 entrees, 3 desserts and 5 drinks? 4*3*5=60 2. How many 4 digit numbers can be created if we use any one of the following numbers {2,3,4,5,6}? 5*5*5*5*5=3125 3. How many ways can a group of 3 people be selected out of a total of 7 people? 7!(3!*4!)=35 4. How many ways can a president, vice president and secretary be selected out of 8 candidates? 8*7*6=336 5. Find the probability of getting exactly 7 heads in 8 tosses of a fair coin. P( X = 7 ) = 0.03125 6. Let A={1, 3, 12, 5, 8, 8, 10}. Find the (a) mean, (b) median, (c) mode of set A. mean=(1+3+5+8+8+10+12)/7=47/7=6.71 median=8 mode=8 7. Let A={1, 3, 12, 5, 8, 8, 10}. Find the (a) range, (b) standard deviation of set A.
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Unformatted text preview: range=12-1=11 mean=6.71 stdev=sqrt(121-6.71^2)=sqrt(76)=8.71 8. Find the z-score of an exam of 76 if the mean of the entire class was 82 and the std. deviation was 4. z=(82-76)/4=3/2=1.5 9. What is the probability that a student in the class of problem #8 above scored less than 76? p=0.067 10. Tom scored a 56 on a quiz where the average was 44 and the std. deviation was 12; his brother Tim scored 63 in a different class where the average was 52 and the std. deviation was 10. Who scored relatively higher? zT=(56-44)/12=1 zT=(63-52)10=1.1 Tim scored relatively higher...
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Week 8 - range=12-1=11 mean=6.71...

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