Calculate the probability for the following problems (Please keep 4 decimal places). 1. $$ P(z-0.48)=\square $$ 2. $$ P(z

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Calculate the probability for the following problems (Please keep 4 decimal places). 1. $$ P(z>-0.48)=\square $$ 2. $$ P(z<0.7)=\square $$ 3. $$ P(-0.61

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1. To find $$ P(z > -0.48) $$, use the complement rule: $$ P(z > -0.48) = 1 - P(z \le -0.48) $$ From the standard normal table, we have: $$ P(z \le -0.48) \approx 0.3156 $$ Thus, $$ P(z > -0.48) \approx 1 - 0.3156 = 0.6844 $$ 2. For $$ P(z < 0.7) $$, look up the cumulative probability for $$ z = 0.7 $$: $$ P(z < 0.7) \approx 0.7580 $$ 3. To calculate $$ P(-0.61 < z < 2.27) $$, subtract the cumulative probability at $$ z = -0.61 $$ from the cumulative probability at $$ z = 2.27 $$: $$ P(-0.61 < z < 2.27) = P(z < 2.27) - P(z \le -0.61) $$ From the standard normal table: $$ P(z < 2.27) \approx 0.9884 \quad \text{and} \quad P(z \le -0.61) \approx 0.2709 $$ Therefore, $$ P(-0.61 < z < 2.27) \approx 0.9884 - 0.2709 = 0.7175 $$ Final Answers (rounded to 4 decimal places): 1. $$ P(z > -0.48) \approx 0.6844 $$ 2. $$ P(z < 0.7) \approx 0.7580 $$ 3. $$ P(-0.61 < z < 2.27) \approx 0.7175 $$ 1. $$ P(z > -0.48) = 0.6844 $$ 2. $$ P(z < 0.7) = 0.7580 $$ 3. $$ P(-0.61 < z < 2.27) = 0.7175 $$

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

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