0.20 Practice exam  (Page 2/2)

Graph the constraints, and shade the feasibility region.

Write the cost function.

Find the equilibrium price.

How many items will be demanded at that price?

If there are 5 people in a room, what is the probability that no two have the same birthday?

$A$ and $B$ are mutually exclusive, $P\left(A\right)=\text{.}4$ , $P\left(B\right)=\text{.}5$ find $P\left(A\text{and}B\right)$ .

$A$ and $B$ are independent. $P\left(A\right)=\text{.}4$ , $P\left(A\text{and}B\right)=\text{.}\text{24}$ , find $P\left(B\right)$ .

What is the probability of getting 3 heads if a coin is tossed 5 times?

If $P\left(A\right)=\text{.}5$ , $P\left(B\right)=\text{.}4$ and $P\left(A\text{and}B\right)=\text{.}2$ , find $P\left(A\text{or}B\right)$ .

How many different ways can two boys and three girls be chosen from a total of 6 boys and 8 girls?

What is the probability that an appliance chosen at random is defective?

If an appliance is chosen at random and found to be defective, what is the probability that it came from company $B$ ?

Suppose it was manufactured by company $B$ , what is the probability it is a defective appliance?

On 30% of his quizzes a student receives a score of 8, and on 70% his score is 9, what is his average?

What is the chance of getting a blue marble on the second draw given that a red has been drawn on the first?

What is the probability of obtaining one white and one other marble?

What is the probability of obtaining at least one white marble?

What percentage of the Tide people will buy Brand $X$ next month?

If the original share of the market is $\left(\text{.}\text{25}\text{.}\text{75}\right)$ , what will the share be two months from now?

What will the long term share of the market be?

Identify the absorbing states.

Write the solution matrix.

Find the probability of ending in state 4, given one started in state 2.

Given the $3\times 3$ game $\left[\begin{array}{ccc}2& 3& 3\\ 1& 0& -1\\ 0& 0& 4\end{array}\right]$ , find the optimal strategy for the column player.

Find the row player's optimal strategy.

Find the column player's optimal strategy.

Find the value of the game if the row and column players' strategies are $\left[\begin{array}{cc}\text{.}7& \text{.}3\end{array}\right]$ , and $\left[\begin{array}{c}\text{.}5\\ \text{.}5\end{array}\right]$ , respectively.