219k views
3 votes
A particular fruit's weights are normally distributed, with a mean of 406 grams and a standard deviation of 27 grams.The heaviest 14% of fruits weigh more than how many grams?Give your answer to the nearest gram.

1 Answer

6 votes

Given

mean of 406 grams and a standard deviation of 27 grams.

Find

The heaviest 14% of fruits weigh more than how many grams?

Step-by-step explanation

given

mean = 406 gms

standard deviation = 27 gms

using standard normal table ,


\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z*\sigma+\mu \\ x=1.08*27+406 \\ x=435.16 \end{gathered}

Final Answer

Therefore , The heaviest 14% of fruits weigh more than 435.16 gms

User Ammar Hayder Khan
by
4.5k points