Math Problem Statement

Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P(-1.24 ≤ Z≤ c)=0.8746 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Standard Normal Distribution
Cumulative Probability

Formulas

P(-1.24 ≤ Z ≤ c) = P(Z ≤ c) - P(Z ≤ -1.24)
P(Z ≤ c) = 0.8746 + P(Z ≤ -1.24)

Theorems

Standard Normal Distribution Table
Z-Score Calculation

Suitable Grade Level

Undergraduate/Advanced High School