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27 votes
27 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.

User Sachin Muthumala
by
3.5k points

1 Answer

22 votes
22 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 Antony Fuentes
by
2.8k points
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