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1 Answer
- 冷眼旁觀Lv 71 year agoFavorite Answer
For the calculations, use the following z-table:
a.
P(x < 10)
= P(z < [10 - 54.3]/14.5)
= P(z < -3.06)
= 0.00111
= 0.11% (to 2 decimal places)
b.
P(35 < x < 60)
= P([35 - 54.3]/14.5 < z < [60 - 54.3]/14.5)
= P(-1.33 < z < 0.39)
= 1 - P(z > -1.33) - P(z < -0.39)
= 1 - 0.09176 - 0.34827
= 56.00% (to 2 decimal places)
c.
P(x > 95)
= P(z > [90 - 54.3]/14.5)
= P(z > 2.46)
= P(z < -2.46)
= 0.00695
= 0.70% (to 2 decimal places)
d.
P(45 < x < 70)
= P([45 - 54.3]/14.5 < z < [70 - 54.3]/14.5)
= P(-0.64 < z < 1.08)
= 1 - P(z > -0.64) - P(z < -1.08)
= 1 - 0.26109 - 0.14007
= 59.88% (to 2 decimal places)