List the outcomes that comprise events X, Y, and Z. X = { A } Y={ AA } Z={ } Z={ A }

Depression A study published in the Archives of GeneralPsychiatry examined the impact of depression on apatient’s ability to survive cardiac disease. Researchersidentified 450 people with cardiac disease, evaluatedthem for depression, and followed the group for 4 years.Of the 361 patients with no depression, 67 died. Of the89 patients with minor or major depression, 26 died.Among people who suffer from cardiac disease, aredepressed patients more likely to die than non-depressedones?a) What kind of design was used to collect these data?b) Write appropriate hypotheses.c) Are the assumptions and conditions necessary forinference satisfied?d) Test the hypothesis and state your conclusion.e) Explain in this context what your P-value means.f) If your conclusion is actually incorrect, which type oferror did you commit?

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

A psychologist found a study which claiming that 32% of patients who visit a psychologist have symptoms of anxiety. This psychologist had 44 patients visit. Let x = the number of patients that had symptoms of anxiety. (a) The random variable is which of the following? O the number of psychologists O the number of patients who visited the psychologist the number of patients who had symptoms of anxiety O the number of patients without symptoms of anxiety (b) How many total patients did the psychologist have visit?

The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.

An instructor gives his class a set of 12 problems with the information that the next quiz will consist of a random selection of 4 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly  (a) all 4 problems? 0.2545(b) at least 3 problems.

Assume that two events A and B are mutually exclusive. P(A) =.75, P(B) = .25 What is P(AnB)? What is P(A/B)?