It has been reported that $57 \%$ of U.S. households that rent do not have a dishwasher, while only $28 \%$ of homeowner households do not have a dishwasher. If one household is randomly selected from each ownership category, determine the probability that source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 601.

d. the homeowner household will have a dishwasher, but the renter household will not.

It has been reported that $57 \%$ of U.S. households that rent do not have a dishwasher, while only $28 \%$ of homeowner households do not have a dishwasher. If one household is randomly selected from each ownership category, determine the probability that source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 601.

It has been reported that $57 \%$ of U.S. households that rent do not have a dishwasher, while only $28 \%$ of homeowner households do not have a dishwasher. If one household is randomly selected from each ownership category, determine the probability that source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 601.

It has been reported that $57 \%$ of U.S. households that rent do not have a dishwasher, while only $28 \%$ of homeowner households do not have a dishwasher. If one household is randomly selected from each ownership category, determine the probability that source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 601.

b. both households will have a dishwasher.

Given the transition matrix $P$ and initial-state matrix $S_0$, find $P^4$ and use $P^4$ to find $S_4$.

$$P=\begin{matrix} A \\ B \end{matrix} \overset{\text{$A$ \quad $B$}}{\begin{bmatrix} .8 & .2 \\ .3 & .7 \end{bmatrix}}; \qquad S_0=\begin{bmatrix} .4 &.6 \end{bmatrix}$$

A midwestern university offers its employees three choices for health care: a clinic-based health maintenance organization (HMO), a preferred provider organization (PPO), and a traditional fee-for-service program (FFS). Each year, the university designates an open enrollment period during which employees may change from one health plan to another. Prior to the last open enrollment period, 20% of employees were enrolled in the HMO, 25% in the PPO, and the remainder in the FFS. During the open enrollment period, 15% of employees in the HMO switched to the PPO and 5% switch ed to the FFS, 20% of the employees in the PPO switched to the HMO and 10% to the FFS, and 25% of the employees in the FFS switched to the HMO and 30% switch ed to the PPO. (A) Write the transition matrix. (B) What percentage of employees were enrolled in each health plan after the last open enrollment period? (C) If this trend continues, what percentage of employees will be enrolled in each plan after the next open enrollment period?

In 2008, McDonald's had 31,967 restaurants systemwide. Of these, 21,328 were operated by franchisees, 6502 by the company, and 4137 by affiliates. What is the probability that a randomly selected McDonald's restaurant is operated by either a franchisee or an affiliate?

On three rolls of a single die, you will lose $\$10$ if a $5$ turns up at least once, and you will win $\$7$ otherwise. What is the expected value of the game?

In $2008$, McDonald's had 31,967 restaurants systemwide. Of these, 21,328 were operated by franchisees, 6502 by the company, and 4137 by affiliates. What is the probability that a randomly selected McDonald's restaurant is operated by either a franchisee or an affiliate?

A pink-flowering plant is of genotype RW. If two such plants are crossed, we obtain a red plant (RR) with probability .25, a pink plant (RW or WR) with probability .50, and a white plant (WW) with probability .25, as shown in the table. What is the expected number of W genes present in a crossing of this type?

$$\begin{matrix} \text{Number of W Genes Present} & \text{}\\ \text{}{x_{i}} & \text{}{p_{i}}\\ \text{0} & \text{.25}\\ \text{1} & \text{.50}\\ \text{2} & \text{.25}\\ \end{matrix}$$

A television advertising campaign is conducted during the football season to promote a well-known brand X shaving cream. For each of several weeks, a survey is made, and it is found that each week, 80% of those using brand X continue to use it and 20% switch to another brand. It is also found that of those not using brand X, 20% switch to brand X while the other 80% continue using another brand. (A) Draw a transition diagram. (B) Write the transition matrix. (C) If 20% of the people are using brand X at the start of the advertising campaign, what percentage will be using it 1 week later? 2 weeks later?

Two pink-flowering plants are crossed. The offspring flower as follows: 25% red, 25% white, 50% pink. What pattern of inheritance does flower color in these flowers follow? (A) dominance (B) multiple alleles (C) incomplete dominance (D) recessiveness (E) polygenic traits

Refer to the Venn diagram details below for events A and B in an equally likely sample space S. Find each of the indicated probabilities.

$$n(A\cap B')=14\quad n(A\cap B)=39\quad n(A'\cap B)=21\quad n(A'\cap B')=26$$

$$P(A \cup B)$$

Suppose that 6 female and 5 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? (A) 3 females and 2 males (B) 4 females and 1 male (C) 5 females (D) 5 people regardless of sex (E) At least 4 females.