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A grain company called Splitting My Grain analyses and tabulates the number of sales it fulfilled in 2020 in the table below:

\[
\begin{array}{l|l|l|l|}
\hline {\text { Product }} & {\text { Order type }} \\
 & \text { Bulk delivery } & \text { Bagged delivery } & \text { Silo collection } \\
\hline \text { Soya beans } & 85 & 12 & 15 \\
\hline \text { Maize } & 41 & 52 & 25 \\
\hline \text { Lucerne } & 21 & 10 & 0 \\
\hline
\end{array}
\]

Question 1
What is the probability that the first order placed in 2021 is for lucerne? Round off your answer to 2 decimal places.
 

Question 2
What type of probability describes the answer to the previous question?

Question 3
What is the probability that the first order placed in 2021 is for a silo collection of maize? Round off your answer to 2 decimal places.

Question 4
What is the probability that the first order placed in 2021 is for a bulk delivery if Splitting My Grain already knows it will be for soya beans? Round off your answer to 2 decimal places.

Question 5
What type of probability describes the answer to the previous question?

Question 6
What is the probability of the first order in 2021 being either for bagged delivery or for a silo collection? Round off your answer to 2 decimal places.

Question 7
Give the full name of the rule that you used to calculate the answer to the previous question.

Question 8
Calculate the probability of there being exactly 1 lucerne order in the first 5 orders of \(2021 .\)

Question 9
Calculate the probability of there being more than 7 bulk orders in the first 10 orders of 2021 .

Question 10
Splitting My Grain did not hold lucerne in silos during 2020 , but will allow customers to collect lucerne from its Mkhondo silo from 1 January 2021 . Comment on the effect this has on the probabilities you calculated in this question.

 

in Statistics by Wooden (4,580 points) | 31 views

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