4. The amount of paper disposed is a function of family size. X(lbs paper) Y (fa

Question

4. The amount of paper disposed is a function of family size. X(lbs paper) Y (family size 0 1 2 3 4 3 5 79 11 a) b) c) Calculate the coefficient of linear correlation Compute the least squares line for predicting family size Predict the family size that disposes 7.5 lbs. of paper A statewide poll of 800 registered voters in 25 princts in New York State was taken. Each voter was identified as being registered Republican, Democrat or other and then asked " Are you in favor or against the current budget proposal awaiting the governor/s signature? The resulting tallies are shown below 5. Number in favor Number against Number of voters 224 526 50 800 Republican 136 Democrat other totals 212 36 336 14 464 Suppose that one voter is to be selected at random a) b) c) d) What is the probability that the voter selected is in favor What is the probability that the selected voter is a Republican, who is in favor What is the probability that that the voter selected is in favor and a Republican What is the probability that voter selected is "in favor or Republican

Explanation / Answer

a) The probability of voters is in favor: Total number of favour voters /Total number of voters= 464/ 800 =0.58

b) The probability of selected voter is a republican, who is in favor:

P(Republican | Favor) = P( Republican and Favor) / P(Favor) = 136/ 464 = 0.293103

c) The probability that the selected voter is in favor and a republican:

P( Republican and Favor)= 136/ 800 = 0.17

d) The probability of voter is in favor or repubalican:

P(F or R) =P(R) +P(F) -P(F and R) = 224/800 + 464/800 - 136/800 = 552/800 = 0.69

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