The random variable x is known to be uniformly distributed between 1.0 and 1.5.B. Compute P(x=1.25)C. Compute P(1<=x<=1.25)D. Compute P(1.2<x<1.5) The random variable \( x \) is known to be uniformly distributed between 1.0 and 1.5.**a. Which of the following graphs accurately represents this probability density function?**1. **Graph 1:** - The graph shows a constant horizontal line for \( f(x) = 1 \) from \( x = 0 \) to \( x = 1.5 \). - The y-axis is labeled from 0 to 2. - The x-axis is labeled from 0 to 2, with intervals of 0.25.2. **Graph 2:** - The graph shows a constant horizontal line for \( f(x) = 2 \) from \( x = 0 \) to \( x = 1.0 \). - The y-axis is labeled from 0 to 2. - The x-axis is labeled from 0 to 2, with intervals of 0.25.3. **Graph 3:** - The graph shows a constant horizontal line for \( f(x) = 2 \) from \( x = 1.0 \) to \( x = 1.5 \). - The y-axis is labeled from 0 to 2. - The x-axis is labeled from 0 to 2, with intervals of 0.25.**b. Compute \( P(x = 1.25) \).** If your answer is zero enter “0” (to 1 decimal).**c. Compute \( P(1 \leq x \leq 1.25) \) (to 2 decimals).****d. Compute \( P(1.2 < x < 1.5) \) (to 2 decimals).**The correct graph selection is indicated as **Graph #3**. Inputs are provided for parts b, c, and d, where users are prompted to enter their computed probabilities.

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Answered: B. Compute P(x=1.25) C. Compute…

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B. Compute P(x=1.25) C. Compute P(1<=x<=1.25) D. Compute P(1.2

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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The random variable x is known to be uniformly distributed between 1.0 and 1.5.

B. Compute P(x=1.25)

C. Compute P(1<=x<=1.25)

D. Compute P(1.2<x<1.5)

The random variable \( x \) is known to be uniformly distributed between 1.0 and 1.5.

**a. Which of the following graphs accurately represents this probability density function?**

1. **Graph 1:**
- The graph shows a constant horizontal line for \( f(x) = 1 \) from \( x = 0 \) to \( x = 1.5 \).
- The y-axis is labeled from 0 to 2.
- The x-axis is labeled from 0 to 2, with intervals of 0.25.

2. **Graph 2:**
- The graph shows a constant horizontal line for \( f(x) = 2 \) from \( x = 0 \) to \( x = 1.0 \).
- The y-axis is labeled from 0 to 2.
- The x-axis is labeled from 0 to 2, with intervals of 0.25.

3. **Graph 3:**
- The graph shows a constant horizontal line for \( f(x) = 2 \) from \( x = 1.0 \) to \( x = 1.5 \).
- The y-axis is labeled from 0 to 2.
- The x-axis is labeled from 0 to 2, with intervals of 0.25.

**b. Compute \( P(x = 1.25) \).** If your answer is zero enter “0” (to 1 decimal).

**c. Compute \( P(1 \leq x \leq 1.25) \) (to 2 decimals).**

**d. Compute \( P(1.2 < x < 1.5) \) (to 2 decimals).**

The correct graph selection is indicated as **Graph #3**. Inputs are provided for parts b, c, and d, where users are prompted to enter their computed probabilities.

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