Question #330237

The weights of students in a certain school are normally distributed with a mean weight of 66 kg. 10% have a weight greater than 70kg. What percentage of students weighs between 62kg and 66kg?


Expert's answer

The normal distribution is symmetric:

P(W≤66)=P(W≥66)=50%P(66−4=62≤W≤66)==P(66≤W≤70=66+4)==50%−P(70≤W)=40%P(W\le66)=P(W\ge66)=50\%\\ P(66-4=62\le W\le66)=\\ =P(66\le W\le70=66+4)=\\ =50\%-P(70\le W)=40\%


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