Question

Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.)
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 4 decimal places.) a. P(-1.03 < ZS -0.62) b. P(0.04 SZ s 2.13) c. P(-1.42 sz s 0.07) d. P(Z > 3)

Answer 1

Solution :

Given that ,

a)P( -1.03$\leq$ z $\leq$ -0.62 )

= P(z $\leq$ -0.62) - P(z $\leq$ -1.03)

=0.2676 - 0.1515 = 0.1161

probability = 0.1161

b)

P( 0.04$\leq$ z $\leq$ 2.13 )

= P(z $\leq$ 2.13) - P(z $\leq$ 0.04)

=0.9834 - 0.5160 = 0.4675

probability = 0.4675

c)

P( -1.42 $\leq$ z $\leq$ 0.07)

= P(z $\leq$ 0.07) - P(z $\leq$ -1.42)

=0.5279 - 0.0778 = 0.4501

probability = 0.4501

d)p(z >3)

= 1-p(z< 3)

= 1-0.9987 = 0.0013

probability = 0.0013