Drasana J.

Tutor for Massachusetts College of Liberal Arts

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French

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Question:

What is the correct response to the French form of "Merici".

Drasana J.

Answer:

The correct response is Rien, meaning you're welcome.

Basic Math

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Question:

1.) If y(x-1)=z then x=

Drasana J.

Answer:

y-1

Statistics

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Question:

52% of the voters are Republicans, and 48% are Democrats. 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of 100 voters are surveyed from each state.What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state?

Drasana J.

Answer:

Find Sample size: n1p1=100*0.52=52 n1(1-p1)=100*0.48=48 n2p2=100*0.47=47 n2(1-p2)= 100*0.53=53 Find Mean: E(p1-p2)=P1-P2=0.52-0.47=0.05 Find Standard deviation: 1.) σd = sqrt{ [ P1(1 - P1) / n1 ] + [ P2(1 - P2) / n2 ] } 2.) σd = sqrt{ [ (0.52)(0.48) / 100 ] + [ (0.47)(0.53) / 100 ] } 3.) σd = sqrt (0.002496 + 0.002491) = sqrt(0.004987) = 0.0706 Find Probability: (z-score): z p1 - p2 = (x - μ p1 - p2 ) / σd = = (0 - 0.05)/0.0706 = -0.7082 In conclusion, the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state is 0.24.

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