Answer:
Probability that the volume of a randomly selected die is greater than 1.424 will be 0.1194
Step-by-step explanation:
The side measurement of the plastic die is a random number between 1 and 1.14 cm.
Therefore, minimum volume of the die (with one side 1 cm) [tex]V_{min.}[/tex] = 1 cm³
Maximum volume of the die (with one side 1.14 cm) [tex]V_{max.}[/tex] = (1.14)³ cm³
= 1.4815 cm³
Probability that the volume of a randomly selected die is greater than 1.424 cm³ = [tex]\frac{(V_{\text{max}}-1.424)}{(V_{\text{max}-V_{\text{min}}})}[/tex]
= [tex]\frac{(1.4815-1.424)}{(1.4815-1)}[/tex]
= [tex]\frac{0.0575}{0.4815}[/tex]
= 0.1194
Therefore, probability that the volume of a randomly selected die is greater than 1.424 will be 0.1194
