Everyone in a school is weighed. Half weigh over 110 pounds and 15%
weigh over 150 pounds. Assume that weight is normally distributed.
(1) Find the best choice for u and o.
(b) The heavyweight club enrolls everyone over 150 pounds. Find the
probability that a heavyweight weighs over 170 pounds.
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probability that a heavyweight weighs over 170 pounds. = 0.4
Step-by-step explanation:
. Half weigh over 110 pounds
Mean = 110 pound
15% weigh over 150 pounds
=> 85% people below 150 pounds
z score for 85% = 1.037
z = ( Value - Mean)/SD
=> 1.037 = (150 - 110)/SD
=> SD = 38.57
15% weigh over 150 pounds
for over 170 pounds
z = ( 170 - 110)/38.57
=> z = 1.556
z = 1.556 => 94%
over 170 pounds = 100 - 94 = 6%
probability that a heavyweight weighs over 170 pounds. = 6 /15
= 0.4
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