A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows: $$\begin{array} { l | c c c c r }
\text { Number sold in a day } & 0 & 5 & 10 & 15 & 20 \
\hline \text { Prob (Number sold) } & 0.14 & 0.16 & 0.23 & 0.17 & 0.3
\end{array}$$ Find the number of cheesecakes that this local bakery expects to sell in a day.
A) 11.65
B) 11.79
C) 20
D) 10

Question

A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows: $$\begin{array} { l | c c c c r } 
\text { Number sold in a day } & 0 & 5 & 10 & 15 & 20 \
\hline \text { Prob (Number sold) } & 0.14 & 0.16 & 0.23 & 0.17 & 0.3
\end{array}$$ Find the number of cheesecakes that this local bakery expects to sell in a day.
A) 11.65
B) 11.79
C) 20
D) 10

Quizplus · Accepted Answer

The expected number of cheesecakes sold is calculated by multiplying each number sold by its probability and summing the results: $0(0.14) + 5(0.16) + 10(0.23) + 15(0.17) + 20(0.3) = 11.65$.

A Local Bakery Has Determined a Probability Distribution for the Number