w-S e STAT2300 Test 1 VA-F × | STAT 2300 Test 1 VA-S17-1 + file ///C/Users/Sarah
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w-S e STAT2300 Test 1 VA-F × | STAT 2300 Test 1 VA-S17-1 + file ///C/Users/Sarah/AppData/LocalTempSTAT%202300%20Test%20 1 %20VA%20.%20F 1 7%20-%20Gr pdf Page 3 of 11 STAT 2300 Test #1 (Version A) Fall 2017 According to the US Census Bureau, 9.3% of Americans 25 years old and over have a master's degree. A random sample of 6 Americans in this age group is taken. What is the probability that at least one of these 6 people has a master's degree? (A).093 7, (C).557 (D).907 Use the following information to answer questions 8-11. A fisheries biologist is interested in the mean weight of fish in her research ponds. One day she sampled 75 fish from these ponds by catching them in a scoop net. She found that the mean weight of these fish was 47.5 ounces with a standard deviation of 5.7 ounces. She also found that 57% of the fish were male 8. The true mean weight of all fish in the research ponds is:Explanation / Answer
X ~ binomial ( n , p) = Binomial ( 6 , 0.093)
Binomial probability distribution is
P(X) = nCx px (1-p)n-x
P( X >= 1) = 1 - P( X < 1 ) = 1 - P( X = 0)
= 1 - 6C0 0.0930 * 0.9076
= 1 - 0.557
= 0.443
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