(a)The percent of the parcels weighed between 14 ounces and 35 ounces will be 0.818. (b) The percentage of the parcels weighing more than 49 ounces will be 0.14 %.
What is an empirical Rule?
It is the three-sigma rule, that asserts that with a normal distribution, virtually all observed data will lie within three standard deviations of the mean value.
(a)The percent of the parcels weighed between 14 ounces and 35 ounces will be 0.818.
The given data in the problem is;
The probability of parcels weighing 35 ounces or less, P₁=0.841
The probability of parcels weighing 14 ounces or less, P₂=0.023
The probability of parcels weighing between 14 and 35 ounces is found as;
P=P₁-P₂
P=0.841-01.023
P=0.818
The probability in the percentage will be;
[tex]\rm P = 0.818 \times 100 = 81.8 \%[/tex]
(b) The percent of the parcels weighing more than 49 ounces will be 0.14 %.
The probability of parcels weighing more than 49 ounces will be;
[tex]\rm P_3 = 1-0.99865 \\\\ \rm P_3 =0.00135 \\\\[/tex]
The probability in the percentage will be;
[tex]\rm P_3 = 0.00135 \times 100 \\\\ \rm P_3 =0.14 \%[/tex]
Hence the percentage of the parcels weighed between 14 ounces and 35 ounces will be 0.818.
To learn more about the empirical rule refer to the link;
https://brainly.com/question/11266206
