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Normal Distribution

Decent Essays
1. Find a) P(Z > 2.58), b) P(Z < -1), c) P(-1.5 ( Z < 5) Ans : a) P( Z > 2.58) = 0.0049 ( 4 decimal places) b) P ( Z < -1) = 0.1587 ( 4 decimal places) c) P ( -1.5≦ Z < 5) = P ( -1.5 < Z < 5) = (0.5- 0.0668) + ( 0.5 -0) = 0.9332 ( 4 decimal places) 2. Find the value of z if the area under a Standard Normal curve a) to the right of z is 0.3632; b) to the left of z is 0.1131; c) between 0 and z, with z > 0, is 0.4838; d) between -z and z, with z > 0, is 0.9500. Ans : a) z = + 0.35 ( find 0.5- 0.3632 = 0.1368 in the normal table) b) z = -1.21 ( find 0.5 – 0.1131 = 0.3869 in the normal table) c ) the area between 0 to…show more content…
How many reading should she take? Ans: Let X be the readings of radiation emitted by the machine. [pic] = /n = 150(n we want to find n such that 150/(n = [pic] ( 25 ( (n ( 6 ( n ( 36 She should take at least 36 readings. 6. Peter,
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