Probability distribution for the 30 pieces of fruit, in the order listed is
[tex]\frac{1}{10}[/tex], [tex]\frac{1}{6}[/tex], [tex]\frac{1}{3}[/tex], [tex]\frac{4}{15}[/tex], [tex]\frac{2}{15}[/tex].
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.
The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit.
Probability distribution for the 30 pieces of fruit
For apples = [tex]\frac{3}{30}[/tex] = [tex]\frac{1}{10}[/tex]
For bananas = [tex]\frac{5}{30}[/tex] = [tex]\frac{1}{6}[/tex]
For lemons = [tex]\frac{10}{30}[/tex] = [tex]\frac{1}{3}[/tex]
For oranges = [tex]\frac{8}{30}[/tex] = [tex]\frac{4}{15}[/tex]
For pears = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]
Hence, Probability distribution for the 30 pieces of fruit, in the order listed is
[tex]\frac{1}{10}[/tex], [tex]\frac{1}{6}[/tex], [tex]\frac{1}{3}[/tex], [tex]\frac{4}{15}[/tex], [tex]\frac{2}{15}[/tex].
Option A is correct.
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