According to a study, brain weights of men in country A are normally distributed with mean $1\mathrm{.}53kg$ and standard deviation $0\mathrm{.}15kg.$ Apply the empirical rule to complete each sentence. Complete parts $($a$)$ through $($d$).$

a$.$ Complete the sentence "Approximately $68\%$ of the men have brain weights between $kg$ and kg$."$

Approximately $68\%$ of the men have brain weights between $kg$ and $kg.$

$($Type integers or decimals. Do not round$)$

b$.$ Complete the sentence "Approximately $95\%$ of the men have brain weights between $kg$ and kg$."$

Approximately $95\%$ of the men have brain weights between $kg$ and kg$.$

$($Type integers or decimals. Do not round$)$

c$.$ Complete the sentence "Approximately $99\mathrm{.}7\%$ of the men have brain weights between $kg$ and kg$."$

Approximately $99\mathrm{.}7\%$ of the men have brain weights between $kg$ and $kg.$

$($Type integers or decimals. Do not round$)$

d$.$ Graph the areas enclosed by each set of values in parts $($a$)$ through $($c$).$

Graph the area enclosed by the values in part $($a$).$