Answer:
c)
<em>The probability of a player weighing more than 238 </em>
<em>P( X > 238) = 0.0174</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the normally distribution = 195 pounds
Given standard deviation of the normally distribution
= 20 pounds.
<em>Let 'x' be the random variable of the normally distribution</em>
Let X = 238
<u><em>Step(ii):</em></u>-
<em>The probability of a player weighing more than 238</em>
<em>P( X > 238) = P( Z> 2.15)</em>
= 1 - P( Z < 2.15)
= 1 - ( 0.5 + A(2.15)
= 1 - 0.5 - A(2.15)
= 0.5 - 0.4821 ( from normal table)
= 0.0174
<em>The probability of a player weighing more than 238 </em>
<em>P( X > 238) = 0.0174</em>
The smaller angle = 58
the larger angle = 122
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