QUESTION 1 Provide an appropriate response. Assume that the variable under consi

Question

QUESTION 1 Provide an appropriate response. Assume that the variable under consideration has a density curve. The area under the density curve that lies to the right of 17 is 0.470 What percentage of all possible observations of the variable are at most 17 53% 72% QUESTION 2 Provide an appropriate response. Assume that the variable under consideration has a density curve. The area under the density curve that lies between 30 and 40 1s 0 625. What percentage of all possible observations of the variable are either less than 30 or greater than 407 012596 87.5% o 62.5% 0 375% QUESTION3 Provide an appropriate response. Assume that the variable under consideration has a density c Given that 31.1% of all possible observations of the variable are less than 14 determine the area under the density curve that hes to the e nght of 14. 00.689 0189 0.439 O 0.311

Explanation / Answer

Q 1) The area of probability under curve lies to the right of 17 is 0.470

P(X> 17)= 0.470*100 =47%

P(At most 17)= P(X<17)= 1-P(X>17)= 1- 0.470= 0.530*100= 53%

Q 2)

P(30 < X< 40)= 0.625

The percentage of possible observations of the variable are either less than 30 or greater than 40:

P(30> X > 40)= 1- P(30<X<40)= 1-0.625= 0.375*100= 37.5%

Q 3) The percentage of variables are less than 14= 31.3%

The probability of variables are less than 14 P(X<14)= 0.311

P(X>14)= 1- P(X<14)= 1- 0.311= 0.689

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