Subjects probability

Area Between Z 65A076

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1. **Problem:** Find the area under the standard normal curve between $z = -1.345$ and $z = 2.27$. 2. **Formula and rules:** The area between two $z$-scores on the standard normal curve is found by subtracting the cumulative area to the left of the smaller $z$ from the cumulative area to the left of the larger $z$: $$\text{Area} = P(Z < 2.27) - P(Z < -1.345)$$ 3. **Find cumulative areas from standard normal table or calculator:** $$P(Z < 2.27) = 0.9884$$ $$P(Z < -1.345) = 0.0894$$ 4. **Calculate the area between:** $$\text{Area} = 0.9884 - 0.0894 = 0.8990$$ 5. **Interpretation:** The area under the standard normal curve between $z = -1.345$ and $z = 2.27$ is approximately $0.8990$, meaning about 89.9% of the data lies in this range. q_count is 4 because the user asked 4 distinct questions but only the first is solved here.