Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.438.43 and a standard deviation of 1.51.5. Using the empirical rule, what percentage o…

Question

asked Dec 7, 2022 133k views

1 Answer

Andreas Wilkes · Answer 1 · 2022-12-12T08:03:58+0000

Answer:

The right solution is "68%".

Explanation:

The empirical rule is:

$X\sim N(8.43, 1.5)$

According to the question,

=
$P(6.93< \mu < 9.93)$

=
$P((6.93-8.43)/(1.5) < (\mu -8.43)/(1.5) < (9.93-8.43)/(1.5) )$

=
P(z(1)-P(z(-1))

=
(%)

Thus the above is the right solution.