Using R, plot the gamma density function with parameters a = 2.2, 5= 1.3 on interval (0,7).

MATLAB: An Introduction with Applications
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Please provide a source code that can be copied into R programming. 

An example code is provided below, please use that as a reference. 

Using R, plot the gamma density function with parameters \( \alpha = 2.2 \), \( \beta = 1.3 \) on interval \( (0, 7) \).
Transcribed Image Text:Using R, plot the gamma density function with parameters \( \alpha = 2.2 \), \( \beta = 1.3 \) on interval \( (0, 7) \).
Using R-code we can plot the following gamma density function with parameters \((\alpha = 0.8, \beta = 0.5)\).

```r
x <- seq(0.01, 4, 0.01)
y <- dgamma(x, 0.8, 0.5)
plot(x, y, type = "l", col = "blue")
```

**Explanation:**

- `x <- seq(0.01, 4, 0.01)`: This line generates a sequence of numbers from 0.01 to 4, with an increment of 0.01.

- `y <- dgamma(x, 0.8, 0.5)`: This calculates the gamma density for each value in `x` using a shape parameter \(\alpha = 0.8\) and scale parameter \(\beta = 0.5\).

- `plot(x, y, type = "l", col = "blue")`: This command plots the gamma density function with a line type (`type = "l"`) and a blue color (`col = "blue"`).
Transcribed Image Text:Using R-code we can plot the following gamma density function with parameters \((\alpha = 0.8, \beta = 0.5)\). ```r x <- seq(0.01, 4, 0.01) y <- dgamma(x, 0.8, 0.5) plot(x, y, type = "l", col = "blue") ``` **Explanation:** - `x <- seq(0.01, 4, 0.01)`: This line generates a sequence of numbers from 0.01 to 4, with an increment of 0.01. - `y <- dgamma(x, 0.8, 0.5)`: This calculates the gamma density for each value in `x` using a shape parameter \(\alpha = 0.8\) and scale parameter \(\beta = 0.5\). - `plot(x, y, type = "l", col = "blue")`: This command plots the gamma density function with a line type (`type = "l"`) and a blue color (`col = "blue"`).
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