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If the mean of a normally distributed population is 580 with st.dev of 62. What percent...

If the mean of a normally distributed population is 580 with st.dev of 62. What percent of the data would we find below 535?

a) 72.6%

b) 27.4%

c) 23.4%

d) none of these

e) 76.6%

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Answer #1

Solution :

Given that ,

mean = = 580

standard deviation = = 62  

P(X<535 ) = P[(X- ) / < (535 -580) /62 ]

= P(z <-0.73 )

Using z table

= 0.2327

answer=23.4%

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