Question

This is All that I have... I need answer as soon as possible PLEASE

5. The entry in the standard normal table is 0.1131, what is the associated 2-score? [1 mark] 6. Using the standard normal table, determine the probability that... [4 marks] a. X<-0.11 b. X > 1.46 c. 0.15 < X < 2.00

Answer 1

5. 0.1131=1-0.8869= 1-
Φ(1.21
=$\Phi (-1.21)$

For the entry 0.1131 in the standard normal table, the associated Z score is -1.21.

6.

Here X follows the standard normal disstribution.

$P(X<-0.11)=\Phi (-0.11)=1-\Phi (0.11)=1-0.5438=0.4562$

For standard normal Variable

P(X <α) = Φ(α)

Since,  $\Phi (-a)=1-\Phi (a)$

$P(X>1.46)=1-P(X\leq 1.46)=1-\Phi (1.46)=1-0.9278=0.0722$

$P(0.15<X<2)=\Phi (2)-\Phi (0.15)=0.9772-0.5596=0.4176$

For standard normal Variable

since, $P(a<X<b)=\Phi (b)-\Phi (a)$

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