Where appropriate, work the following binomial distribution problems by using the normal curve. Also, use Table A$.2$ to find the answers by using the binomial distribution and compare the answers obtained by the two methods.

$($Round the values of $$ to $2$ decimal places, e$.$g$.1\mathrm{.}25.$ Round the values of $z$ to $2$ decimal places, e$.$g$.1\mathrm{.}25.$ Round your answers to $4$ decimal places when calculating using normal curve, e$.$g$.0\mathrm{.}2531.$ Round your answers to $3$ decimal places when calculating using Table A$\mathrm{.}2,$ e$.$g$.0\mathrm{.}253.$ If the normal curve is not a good approximation leave field for probability using Table A$.2$ blank.$)$

$($a$)$ and $p=0\mathrm{.}40?$

Using normal curve: $0\mathrm{.}1170$

Using Table A$\mathrm{.}2$:

$($b$)$ and $p=0\mathrm{.}30?$

Using normal curve: $0\mathrm{.}0401$

Using Table A$.2$:

$\mathrm{.}044$

$($c$)$ and $p=0\mathrm{.}50?$

Using normal curve: $0\mathrm{.}1985$

Using Table A$\mathrm{.}2$:

$($d$)$ and $p$

Using normal curve:

Using Table A$\mathrm{.}2$:

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Can you please answer the last question and show work because the last person who did it got it wrong, thanks!