Question

9. Find the probability P(140 < x < 149). The μ= 149 and σ= 5.18. Round...

9. Find the probability P(140 < x < 149). The μ= 149 and σ= 5.18. Round to 4DP.

_____________

10. Find the probability using the standard normal distribution. Round to 4DP.

P(z < −1.35 or z > 1.35)

______________

For 12 – 15, round to 2DP.

12. Find the z-score for which 70% of the area is to the right. ________

13. Find the z-score that corresponds to P6. ________

14. Find the z-scores for which 60% of the distribution’s area lies between − z and z.

You may want to sketch a drawing.

________

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Answer #1

solution Given that M=149 6=5.18 P(140<x< 149) 140-149 149-149 5-18 5.18 EPL - 9az- 5.18 2018, EP(-1.74 caso) EP (zco) - P(ZUsing standard normal table p(2>2) = 70% =I-P (252)=0.70 =P(Z <2) 51-070 = P(Z(2)=0:30 = P(Z <-0.52) 20:30 2=-052 -0.52 13) P1) . Using standard normal table P(-2<2<2)=60% Ep(2<3)=P(Z<-2) =0.60 =20(2<2) -1=0.60 =2p (262)=1+0.60 =2p(252)=1.60 =P(Z <2)

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