Answer the question for a normal random variable x with mean μ and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.2 and a = 0.14. Find P(1.35 < x < 1.49). USE SALT P(1.35 < x < 1.49) = X

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### Understanding Normal Distribution

Answer the question for a normal random variable \( x \) with mean \( \mu \) and standard deviation \( \sigma \) specified below. (Round your answer to four decimal places.)

- Mean (\( \mu \)) = 1.2 
- Standard Deviation (\( \sigma \)) = 0.14

Find \( P(1.35 < x < 1.49) \).

**Button:** [Use Salt]

\( P(1.35 < x < 1.49) = \underline{\quad\quad} \) ❌

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Explanation: The task is to calculate the probability that a normally distributed random variable with a mean of 1.2 and a standard deviation of 0.14 falls between 1.35 and 1.49. The button labeled "Use Salt" is meant to assist with calculations or provide additional resources.
Transcribed Image Text:### Understanding Normal Distribution Answer the question for a normal random variable \( x \) with mean \( \mu \) and standard deviation \( \sigma \) specified below. (Round your answer to four decimal places.) - Mean (\( \mu \)) = 1.2 - Standard Deviation (\( \sigma \)) = 0.14 Find \( P(1.35 < x < 1.49) \). **Button:** [Use Salt] \( P(1.35 < x < 1.49) = \underline{\quad\quad} \) ❌ --- Explanation: The task is to calculate the probability that a normally distributed random variable with a mean of 1.2 and a standard deviation of 0.14 falls between 1.35 and 1.49. The button labeled "Use Salt" is meant to assist with calculations or provide additional resources.
Expert Solution
Step 1: Write the given information

Let X be the random variable

Given, X follows normal with µ=1.2 and σ=0.14

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