Agricultural scientists found out that weights of Roma tomatoes are normally distributed with a mean weight = 75 grams with a standard deviation = 8 grams. What percent of Roma tomatoes weigh between 61 grams and 82 grams?
Solution :
Given that ,
mean =
= 75
standard deviation =
= 8
P(61 < x < 82) = P[(61 - 75)/8 ) < (x -
) /
<
(82 - 75) / 8) ]
= P(-1.75 < z < 0.88)
= P(z < 0.88) - P(z < -1.75)
= 0.8106 - 0.0401
0.7705
Percent = 77.05%
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