### Probability Distribution Table#### Normal Distribution Parameters- **Mean ($ \mu $)**: 2.23- **Standard Deviation ($ \sigma $)**: 0.28#### Cumulative Probability Table| $ x_i $ | $ P(X \leq x_i) $ ||-----------|--------------------|| 1.61 | 0.0134 || 1.76 | 0.0466 || 2.39 | 0.7161 || 2.53 | 0.8580 |#### Inverse Cumulative Probability Table| $ P(X \leq x_i) $ | $ x_i $ ||---------------------|------------|| 0.10 | 1.8712 || 0.20 | 1.9943 || 0.40 | 2.1591 || 0.60 | 2.3009 || 0.80 | 2.4657 || 0.90 | 2.5888 |### Alternate Normal Distribution Parameters- **Mean ($ \mu $)**: 2.23- **Standard Deviation ($ \sigma $)**: 0.21#### Cumulative Probability Table| $ x_i $ | $ P(X \leq x_i) $ ||-----------|--------------------|| 1.61 | 0.0016 || 1.76 | 0.0126 || 2.39 | 0.7769 || 2.53 | 0.9234 |---### InstructionsClick "Save and Submit" to save and submit your answers. Click "Save All Answers" to save all answers. **Excel Output Explanation and Problem Solving**In this exercise, we are tasked with interpreting an Excel output to solve a statistical problem related to gasoline prices in Texas. The data provided represents a normal distribution scenario with specific parameters.**Excel Data Table:**1. **Column Variables:** - `x` values: Represent the gasoline price in $/gallon. - `P(X <= x)`: Represents the cumulative probability associated with each `x` value.2. **Values:** - For `x = 1.61`, `P(X <= x) = 0.0016` - For `x = 1.76`, `P(X <= x) = 0.012` - For `x = 2.39`, `P(X <= x) = 0.7769` - For `x = 2.53`, `P(X <= x) = 0.9234`**Cumulative Probability Table:**1. **Values:** - At `P(X <= x) = 0.10`, `x = 1.9609` - At `P(X <= x) = 0.20`, `x = 2.0538` - At `P(X <= x) = 0.40`, `x = 2.1768` - At `P(X <= x) = 0.60`, `x = 2.2832` - At `P(X <= x) = 0.80`, `x = 2.4067` - At `P(X <= x) = 0.90`, `x = 2.4991`**Problem Set-Up:**Given:- The average (mean) price of gasoline in Texas is $2.23.- Assume a standard normal distribution with a standard deviation of $0.28.**Question:**What value of gasoline prices ($/gallon) is greater than 90% of the gas prices in Texas?**Possible Answers:**a. $1.8712b. $1.9609c. $2.5888d. $2.4991e. None of the answers is correct**Solution:**Based on the cumulative probability data:- The prices greater than 90% of the distribution occur at the 10% cumulative level. From

Let X be the random variable of price of gallon of gasoline in Texas. E(X)=2.23 Sd(X)=0.28…

Suppose that the average price for a gallon of gasoline in Texas is $2.23. Assume that a normal distribution applies and that the standard deviation is $0.28 on this paragraph of text, use the correct excel output above to answer the following question. Ten percent of gas prices in Texas are greater than what value (in S/gallon)? Ca. 1.8712 Ob. 1.9609 Cc 2.5888 d. 2.4991 e. None of the answers is correct

Suppose that the average price for a gallon of gasoline in Texas is $2.23. Assume that a normal distribution applies and that the standard deviation is $0.28 on this paragraph of text, use the correct excel output above to answer the following question. Ten percent of gas prices in Texas are greater than what value (in S/gallon)? Ca. 1.8712 Ob. 1.9609 Cc 2.5888 d. 2.4991 e. None of the answers is correct

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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