Question: The sales records of a real estate agency show the following sales over the past 200 days: Number of Houses Sold Number of Days 0 60 1 80 2 40 3 16 4 4 a. Assign probabilities to the sample points and show their values. b. What is the probability the agency will sell...

Question: Suppose that 9 female and 7 male applicant have been successfully screened for 5 positions. If the 5 positions are filled at random from the 16 finalists, what is the probability of selecting A. 3 females and 2 males B. 4 females and 1 male C. 5 females D. at least 4 females

Question: During typical 5 years the average number of new cancer cases of certain type in Charlotte was 60. Assume that the number of new cancer cases can be well modeled using Poisson distribution. If conditions for the disease are similar during 2014, how high is the chance that 10 or more cases will be...

Question: Suppose that the rate of type 2 Diabetes Mellitus (DM) among 40-60 years old is 10% among Caucasians, 15% among African-Americans, 20% among Hispanics and 5% among Asian-Americans. Suppose that ethnic distribution in Charlotte, NC among 40-60 years old is 40% Caucasian, 25% African-American, 20% Hispanic and 15% Asian-American. What is the chance that...

Question: Which of the following are binomial distributions? a. Randomly selecting 12 jurors and recording their nationalities b. Surveying 12 jurors and recording whether there is a “no” response when they are asked if they have ever been convicted of a felony c. Recording the gender of 250 newborn babies d. Recording the number of...

Question: A sample of 3 calculators is randomly selected from a group containing 40 defective and 20 non-defective calculators. What is probability that all 3 calculators selected will be defective?

Question: A study was done to examine the personal goals of elementary school children. A random sample of 500 students was selected from schools in the state of Georgia. The students received a questionnaire regarding personal goals. They were asked what they would most like to do at school: get good grades, be popular, or...

Question: For each of the following statements about the chi-square \({{\chi }^{2}}\) distribution, state whether it is true or false and explain or justify your answer. A. The density curve of the \({{\chi }^{2}}\) distribution is symmetric. B. As the number of degrees of freedom increases, the mean of the \({{\chi }^{2}}\) distribution increases. C....

Question: Determine whether the following is a probability distribution. If not, identify the requirement that is not met. X 0 1 2 3 4 5 P(x) 0.243 0.167 0.213 0.149 0.232 0.164

Question: The OKC Police Department reports that the probabilities that 0, 1, 2, 3 and 4 car thefts will be reported in any given day are 0.091, 0.218, 0.261, 0.209 and 0.125, respectively. Determine if this is a probability distribution. If not, identify the requirement that is not satisfied.