In a factory, the mean number of defective products produced in one day is 24. Calculate the probabilities, that on a given day...[br][list][*]there are exactly 16 defective products.[br][/*][*]there are less than 19 defective products.[br][/*][*]there are at least 36 defective products.[/*][*]there are between 20 and 30 defective products.[/*][/list]

[table][tr][td]1.[/td][td][/td][td]Select [size=100]the Poisson [i]Distribution [/i]from the drop-down list.[br][b]Note:[/b] A table providing the probabilites [i]P(X [/i][math]=[/math][size=100][/size][size=100][i] k)[/i] is created automatically[/size].[/size][/td][/tr][tr][td]2.[/td][td][/td][td]Change the parameter [math]\mu[/math] to [code]24[/code], since this is the mean number of defective products produced per day.[br][/td][/tr][tr][td]3.[br][/td][td][br][/td][td]Use the table to determine the probability [i]P(X = 16)[/i].[/td][/tr][tr][td]4.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/4/4e/Left_sided.svg/24px-Left_sided.svg.png[/img][/td][td][size=100]Calculate the probability [i]P(X [/i][math]\le[/math][/size][size=100][i] 18)[/i] using the [size=100][i]Left Sided[/i] button.[br][b]Note:[/b] 'Less than 19' means '18 or less defective products'.[/size][/size][/td][/tr][tr][td]5.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/b/b3/Right_sided.svg/24px-Right_sided.svg.png[/img][br][/td][td][size=100]Calculate the probability [i]P(36 [/i][math]\le[/math][i] X[/i][/size][size=100][i])[/i] using[size=100] the [i]Right Sided[/i] button.[br][b]Note:[/b] You need to determine the sum of the probabilities of getting 36 or more defective products. [/size][/size][/td][/tr][tr][td]6.[br][/td][td][img]https://wiki.geogebra.org/uploads/thumb/0/04/Interval.svg/24px-Interval.svg.png[/img][br][/td][td]Calculate the probability [size=100][i]P(20 [/i][math]\le[/math][i] X [/i][size=100][math]\le[/math][i] 30[/i][/size][size=100][i])[/i] using the [i]Interval [/i]button.[br][/size][/size][/td][/tr][/table]