Given a sample data of people who became astronaut and who didn$$t become astronaut. Based on the data answer the following questions using Decision tree C$4\mathrm{.}5$ algorithm. You can use the $$Entropy Spreadsheet$$ given in week $11$ modules to make the calculations easy.

Age likes dogs likes gravity going to be an astronaut

$24000$

$30111$

$36011$

$36000$

$42000$

$44111$

$46100$

$47111$

$47010$

$51111$

Calculate entropy If $$likes dogs$$ is used as the top node

Group of answer choices

$0\mathrm{.}722$

$0\mathrm{.}064$

None of the given options

$0\mathrm{.}701$

$0\mathrm{.}971$

Flag question: Question $7$

Question $74$ pts

Calculate entropy if $$likes gravity$$ is used as the top node

Group of answer choices

$0\mathrm{.}650$

None of the given options

$1\mathrm{.}000$

$0\mathrm{.}944$

$0\mathrm{.}722$

Flag question: Question $8$

Question $84$ pts

Calculate entropy if $$age$>40$ is used as the top node

Group of answer choices

$0\mathrm{.}994$

None of the given options

$0\mathrm{.}811$

$0\mathrm{.}375$

$1\mathrm{.}000$

Flag question: Question $9$

Question $94$ pts

If $$likes gravity$$ is the top node, and $$likes dogs$$ is the next attribute selected on $$likes gravity $=1,$ what$$s the entropy?

Group of answer choices

$0\mathrm{.}138$

None of the given options

$0\mathrm{.}200$

$0\mathrm{.}375$

$0\mathrm{.}333$

Flag question: Question $10$

Question $104$ pts

If $$likes gravity$=1$ and $$age$>40$ is selected what is the entropy?

Group of answer choices

None of the given options

$0\mathrm{.}541$

$0\mathrm{.}575$

$0\mathrm{.}648$

$1\mathrm{.}000$