Find the area under the standard normal curve between -1.43 and the mean, P(-1.4

Question

Find the area under the standard normal curve between -1.43 and the mean, P(-1.43 < z < 0.00). (Give your answer correct to four decimal places.) You may need to use the appropriate table in Appendix B to answer this question.

Find the area under the standard normal curve between z = -1.74 and z = 1.15, P(-1.74 < z < 1.15). (Give your answer correct to four decimal places.)


You may need to use the appropriate table in Appendix B to answer this question.

Find the area under the standard normal curve between z = -2.35 and z = 1.44, P(-2.35 < z < 1.44). (Give your answer correct to four decimal places.)


You may need to use the appropriate table in Appendix B to answer this question.

Explanation / Answer

Given that

1) To find the P(-1.43 < Z< 0.00)

Therefore,

P(-1.43 < Z< 0.00)=P(Z>-1.43) - P( Z>0.00)

= 1-P(Z>1.43) -P(Z>0.00)

=1- 0.076359-0.500000 from std. normal table

=0.4236

The required area under the standard normal cruve is 0.4236 .

2)

To find the P(-1.74 < Z< 1.15)

Therefore,

P(-1.74 < Z< 1.15)=P(Z>-1.74) - P( Z>1.15)

= 1-P(Z>1.74) -P(Z>1.15)

=1- 0.040930-0.12507 from std. normal table

=0.8340

The required area under the standard normal cruve is 0.8340 .

c)

To find the P(-2.35 < Z< 1.44)

Therefore,

P(-2.35 < Z< 1.44)=P(Z>-2.35) - P( Z>1.44)

= 1-P(Z>2.35) -P(Z>1.44)

=1- 0.093867-0.074934 from std. normal table

=0.8312

The required area under the standard normal cruve is 0.8312 .

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