Question

Every week a company provides fruit for its office employees. They canchoose from among five kinds of fruit. What is the probability distribution forthe 30 pieces of fruit, in the order listed?FruitNumber ofpiecesProbabiltyApples Bananas62

Answer 1

D.

Step-by-step explanation:

We were given that:

A company provides fruit for its employees

The employees can pick among five kinds of fruit

The fruits obtained this week is:

Apples = 6 pieces

Bananas =2 pieces

Lemons = 10 pieces

Oranges = 8 pieces

Pears = 4 pieces

Total = 30 pieces

The probability distribution for this is given by:

`\begin{gathered} P(apples)=\frac{Number\text{ of apples}}{Total}=(6)/(30)=(1)/(5) \\ P(apples)=(1)/(5) \\ \\ P(bananas)=\frac{Number\text{ of bananas}}{Total}=(2)/(30)=(1)/(15) \\ P(bananas)=(1)/(15) \\ \\ P(lemons)=\frac{Number\text{ of lemons}}{Total}=(10)/(30)=(1)/(3) \\ P(lemons)=(1)/(3) \\ \\ P(oranges)=\frac{Number\text{ of oranges}}{Total}=(8)/(30)=(4)/(15) \\ \\ P(pears)=\frac{Number\text{ of pears}}{Total}=(4)/(30)=(2)/(15) \\ P(pears)=(2)/(15) \\ \\ \therefore P=(1)/(5),(1)/(15),(1)/(3),(4)/(15),(2)/(15) \end{gathered}`

Therefore, the answer is D