Find the area under the standard normal distribution curve 26. To the left of z=

Question

Find the area under the standard normal distribution curve
26. To the left of z=-2.15 and to the right of z = 1.62

Find the probabilities for each, using the standard normal distribution
28. P(0<z<1.96)
30. P(-1.23<z<0)
32. P(z>0.82) Find the area under the standard normal distribution curve
26. To the left of z=-2.15 and to the right of z = 1.62

Find the probabilities for each, using the standard normal distribution
28. P(0<z<1.96)
30. P(-1.23<z<0)
32. P(z>0.82)
26. To the left of z=-2.15 and to the right of z = 1.62

Find the probabilities for each, using the standard normal distribution
28. P(0<z<1.96)
30. P(-1.23<z<0)
32. P(z>0.82)

Explanation / Answer

26. required area = P(z<-2.15)+P(z>1.62)

= 0.5-P(0<z<2.15)+0.5-P(0<z<1.62)

= 1-0.48422-0.44630 {from z table}

=0.06948

28 from the z table, we find

P(0<z<1.96) = 0.05844

30. P(-1.23<z<0) = P(0<z<1.23) = 0.39065 {from z table}

32. P(z>0.82)

= 0.5-P(0<z<0.82)

=0.5-0.29389 {from z table}

=0.20611

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