A package of Toys Galore Cereal is marked "Net Wt. 13 oz." The actual weight is normally distributed, with a mean of 13 oz and a

Question

2 years ago

14

A package of Toys Galore Cereal is marked "Net Wt. 13 oz." The actual weight is normally distributed, with a mean of 13 oz and a

variance of 0.09.
(a) What percent of the packages will weigh less than 13 oz?
%

(b) What weight will be exceeded by 2.3% of the packages? (Round your answer to one decimal place.)
oz

Mathematics

1 answer:

babunello [35] · Answer 1 · 2023-10-20T14:23:17+03:00

The solution to the Questions are

P(z<0)=50%
W=18.08oz

<h3>What weight will be exceeded by 2.3% of the packages? </h3>

where

u=13

n^2=0.16

$\sigma=\sqrt{0.16}\\\\\sigma=0.4$

a)

Generally, the equation for is mathematically given as

$X-N(u=13,\sigma=0.4)$

p(x<14)=P(z<\frac{13-13}{0.4})

P(z<0)

P=0.5

Therefore

P(z<0)=50%

b)

In conclusion

W=(u+2\sigma)

W=(13+2*0.4)

W=13+0.8

W=18.08oz