Solve the following correctly please! If unsure do not attempt!

Problem 1. (20) An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and a red ball is added to the urn. Then a second ball is drawn from the urn.

(a) What is the probability that both balls drawn are red?

(b) If the second drawn ball is red, what is the probability that the first drawn ball was blue?

Problem 2. (15) You roll a fair six sided die repeatedly until the sum of all numbers rolled is greater than 6. Let X be the number of times you roll the die. Let F be the cumulative distribution function for X. Compute F(1), F(2), and F(7).

Problem 3. (20) A test is graded on the scale 0 to 1, with 0.55 needed to pass.

Student scores are modeled by the following density:

f(x) = 4x for 0 x 1/2

4 4x for 1/2 x 1

0 otherwise

(a) What is the probability that a random student passes the exam?

(b) What score is the 87.5 percentile of the distribution?

Additional question

PHC entails three inter-related and synergistic components, including: comprehensive integrated health services that embrace primary care as well as public health goods and functions as central pieces; multi-sectoral policies and actions to address the upstream and wider determinants of health; and engaging and empowering individuals, families, and communities for increased social participation and enhanced self-care and self-reliance in health. PHC is rooted in a commitment to social justice, equity, solidarity and participation. It is based on the recognition that the enjoyment of the highest attainable standard of health is one of the fundamental rights of every human being without distinction. For universal health coverage (UHC) to be truly universal, a shift is needed from health systems designed around diseases and institutions towards health systems designed for people, with people. PHC requires governments at all levels to underscore the importance of action beyond the health sector in order to pursue a whole-of government approach to health, including health-in-all-policies, a strong focus on equity and interventions that encompass the entire life-course.

1. In series cessation sensation determine the constituents of the four retort blends prepared and describe every single one of them.

2. Linking data from molecular biology and genetic coding, Substantiate the following regarding gene prediction.

Genes are predicted basing on the particular chain by the ab initio-based mechanism.

3. Tracking the progression of the background of single genes in a pair of species can unveil the genes that have remained within a genome for extended periods and the genes which have been shifted horizontally between species.

Rationalize the above statement.

4. Is it apt to conclude that the location of band in the mechanism of electrophoresis designates the dNTP employed as a series terminator in that blend.

5. State three valid deductions about open reading frame. Explain profoundly the concept of open reading frame.

6. Determine whether the following is true or false and explain your answer.

The role of sequence radioactive indicators is assumed by ddNTP.

7. Denatured strands cannot be split. Justify or falsify.

8. Identify a sheath of nuclei that have not been split into single cells.

9. Within Drosophila, only nuclei cells give rise to germline cells.

10. What are applied in recognizing sequences that have the capacity to operate as a booster in vivo?