The mean number of seeds in a watermelon is 176 and the standard deviation is 40. What percentage of melons have between 150 and 200 seeds?

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Answer 1 · 2017-03-21T05:36:07

Percentage of watermelons have seeds between 150 and 200 #46.79%#

Given -

Mean #barx=176#
SD #sigma = 40#

At #x=150#

#z=(x-barx)/sigma= (150-176)/40=-0.65#

At #x=200#

#z=(x-barx)/sigma= (200-176)/40=-0.6#

Probability #x# takes a value between 150 and 200 = [Area between #z=-0.65# and #z=0#]+ [Area between #z=0# and #z=0.6#]

#=0.2422+0.2257=0.4679#

Percentage of watermelons have seeds between 150 and 200 #=0.4679 xx 100=46.79%#

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