A store is offering a discount on 800 pairs of basketball shoes. The amount of the discount varies and is not revealed to the customer until checkout. The distribution of discounts is given in the below table. $$\begin{array}{l}
\begin{array} { c c }
\text { Discount Rate (\%) }&\text {Number of Tags }\
5 & 250 \
20 & 220 \
35 & 120 \
50 & 80 \
65 & 70 \
90 & 60
\end{array}
\end{array}$$ Use the negative binomial distribution to approximate the average number of pairs of shoes that a customer has to buy before purchasing two pair with a discount of at least 50%.

Question

A store is offering a discount on 800 pairs of basketball shoes. The amount of the discount varies and is not revealed to the customer until checkout. The distribution of discounts is given in the below table. $$\begin{array}{l}
\begin{array} { c c } 
\text { Discount Rate (\%) }&\text {Number of Tags }\
5 & 250 \
20 & 220 \
35 & 120 \
50 & 80 \
65 & 70 \
90 & 60
\end{array}
\end{array}$$ Use the negative binomial distribution to approximate the average number of pairs of shoes that a customer has to buy before purchasing two pair with a discount of at least 50%.

Quizplus · Accepted Answer

The Answer of A store is offering a discount on 800 pairs of basketball shoes. The amount of the discount varies and is not revealed to the customer until checkout. The distribution of discounts is given in the below table. $$\begin{array}{l}
\begin{array} { c c } 
\text { Discount Rate (\%) }&\text {Number of Tags }\
5 & 250 \
20 & 220 \
35 & 120 \
50 & 80 \
65 & 70 \
90 & 60
\end{array}
\end{array}$$ Use the negative binomial distribution to approximate the average number of pairs of shoes that a customer has to buy before purchasing two pair with a discount of at least 50%.

A Store Is Offering a Discount on 800 Pairs of Basketball