A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a givenday. The distribution is as follows: $$\begin{array} { l | c c c c c }
\text { Number sold in a day } & 0 & 5 & 10 & 15 & 20 \
\hline \text { Prob (Number sold) } & 0.07 & 0.1 & 0.22 & 0.23 & 0.38
\end{array}$$ Find the number of cheesecakes that this local bakery expects to sell in a day.
A) 13.75
B) 13.82
C) 14.1
D) 10

Question

A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a givenday. The distribution is as follows: $$\begin{array} { l | c c c c c } 
\text { Number sold in a day } & 0 & 5 & 10 & 15 & 20 \
\hline \text { Prob (Number sold) } & 0.07 & 0.1 & 0.22 & 0.23 & 0.38
\end{array}$$ Find the number of cheesecakes that this local bakery expects to sell in a day.
A) 13.75
B) 13.82
C) 14.1
D) 10

Quizplus · Accepted Answer

The expected number of cheesecakes sold in a day is calculated by multiplying each number of cheesecakes by its corresponding probability and summing these products: $E(X) = 0*0.07 + 5*0.1 + 10*0.22 + 15*0.23 + 20*0.38 = 0 + 0.5 + 2.2 + 3.45 + 7.6 = 13.75.$

A Local Bakery Has Determined a Probability Distribution for the Number