### Understanding Normal Distribution and Z-ScoresGiven a normal distribution with a mean (μ) of 48 and a standard deviation (σ) of 4, find the raw score (x) that corresponds to the given z-scores. Round all answers to two decimal places.---**Question a:**Find the raw score corresponding to z = -0.75._Answer box for input_---**Question b:**Find the raw score corresponding to z = 3._Answer box for input_---### ExplanationTo find the raw score (x) corresponding to a given z-score, use the formula:\[ x = \mu + z \cdot \sigma \]Where:- \( \mu \) is the mean- \( \sigma \) is the standard deviation- \( z \) is the z-scoreUse this formula to solve the problems in the given questions.

Answered: Image /qna-images/answer/68527603-72a2-45bb-8206-8151e4c1b9fa.jpg

Answered: Given a normal distribution with a u 48…

MATLAB: An Introduction with Applications

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Given a normal distribution with a u 48 and o 4 find the z-score that corresponds to each x value below. Round all answers to two decimal places. a.) Find the raw score corresponding to z = b.) Find the raw score corresponding to z = 3. 0.75.