Question 10
Calculate the probability for the following problems (Please keep 4 decimal places)

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Question 10 Calculate the probability for the following problems (Please keep 4 decimal places) 1. $$ P(z>0.45)=\square $$ 2. $$ P(z<-0.01)=\square $$ 3. $$ P(-2.85

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1. To calculate $$ P(z>0.45)=1-P(z\le0.45), $$ we look up (or use a calculator for) the standard normal cumulative distribution value: $$ P(z\le0.45)\approx0.6736. $$ Therefore, $$ P(z>0.45)=1-0.6736=0.3264. $$ 2. The probability $$ P(z<-0.01) $$ can be obtained using symmetry of the standard normal distribution. Since $$ P(z<0)=0.5, $$ and for a very small positive $$0.01$$ the distribution is nearly symmetric, $$ P(z<-0.01)\approx0.5-0.0040=0.4960. $$ (Alternatively, using a calculator, one finds $$P(z<-0.01)\approx0.4960$$.) 3. For \[ P(-2.851. $$ P(z>0.45) = 0.3264 $$ 2. $$ P(z<-0.01) = 0.4960 $$ 3. $$ P(-2.85

Question 10
Calculate the probability for the following problems (Please keep 4 decimal places)

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