The lifetime of an electronic component is exponential distributed with parameter [math]\lambda = 0.25.[/math][br][br]Calculate the probability that the lifetime of the electronic component[list][*]is shorter than 4 years[/*][*]is longer than 10 years[/*][*]is between 2 and 8 years.[/*][/list]

[table][tr][td]1.[/td][td][/td][td]Select the Exponential Distribution from the drop-down list.[/td][/tr][tr][td]2.[/td][td][/td][td]Change the parameter [math]\lambda[/math] to 0.25. [/td][/tr][tr][td]3.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/4/4e/Left_sided.svg/24px-Left_sided.svg.png[/img][/td][td]Calculate the probability [math]P(X \le 4)[/math] using the [i]Left Sided[/i] button.[/td][/tr][tr][td]4.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/b/b3/Right_sided.svg/24px-Right_sided.svg.png[/img][/td][td]Calculate the probability [math]P(10 \le X)[/math] using the [i]Right Sided[/i] button.[/td][/tr][tr][td]5.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/0/04/Interval.svg/24px-Interval.svg.png[/img][/td][td]Calculate the probability [math]P(2 \le X \le 8)[/math] using the [i]Interval[/i] button.[br][/td][/tr][/table]