The

sum and product of the eigenvalues of the matrix A=

There is a discrete random variable for which moment generating function does not exist.

A box contains 4 red balls and 6 green balls. Two balls are drawn without replacement. What is the probability that both are red, given that the first is red?

which of the following statements is true for all real symmetric matrices?

The

sum and product of the eigenvalues of the matrix A=

A statement about a population developed for the purpose of testing is called

A researcher is interested in finding the average duration of marriage based on the educational qualifications of couples. Two groups were considered for the study: Group 1 consisted of couples with no Bachelor’s degree (both partners) and Group 2 consisted of couple who both have Bachelor’s degree or higher. Data in Table 1 shows average duration of marriage in years. At alpha (significance value) = 0.05, find t statistic Value for  average duration of marriage is more for couples with no Bachelor’s degree as compared to couples with Bachelor’s degree.

Table 1: Data related to duration of marriage from different groups

A study was conducted to find if there is an association between exercise habits and heart disease. At 1% significance level, test if exercise habit and heart disease are independent. What is Chi-square Test Statistic?

Let A and B be n x n real matrices . Then rank(A+B) is at most rank(A) + rank(B)