Let A and B be two subsets of the sample space of an experiment. If P(A) = 0.35, P(B) = 0.55, and P(A ∩ B) = 0.1, find (i) p(A ∩ Bc) (ii) p(A U B)c (iii) p(A ∩ B)c (iv) p(Ac ∩ Bc)

Consider a binomial experiment with 16 trials and probability 0.60 of success on a single trial.

(a) Use the binomial distribution to find the probability of exactly 10 successes.

(b) Use the normal distribution to approximate the probability of exactly 10 successes.

(c) Compare the results of parts (a) and (b).

Describe the results you would get back if you performed a Chip-Seq experiment for an E. coli strain containing plasmid RK2, to investigate where DnaA-ATP binding occurs throughout the genome. Will you find sequences from multiple regions of the genome?

In a two-slit interference experiment, with a light source of unknown wavelength, the following data are measured:

slit separation, d = 0.22 mm,

distance of slits from the screen, L = 2.39 m, (large enough that the small-angle approximation applies),

separation between the m =

A yellow compound is placed on a column and the column is eluted with hexanes. After a large volume of solvent has been collected but the yellow band is still at the top of the column. What should be done to recover the yellow compound? How could this experiment have been done better?

Hi I am confused a little about equations for constructive and destructive interference and also about the difference in equations for diffraction and interference and also what equations we use for young's single slit experiment and double slit experiment.Can you please explain the difference??

An article in the Journal of the American Medical Assocation described an experiment to investigate the effect of four treatments on various body characteristics. In this double-blind experiment, each of 59 female subjects age 65 or older was assigned at random to one of the following four treatments:

1) P + P: placebo "growth hormone" and placebo "steroid"
2) P + S: placebo "growth hormone" and the steroid estradiol
3) G + P: growth hormone and placebo "steroid"
4) G + S: growth hormone and the steroid estradiol

The change in body fat mass was measured over the 26-week period following the treatments. Using the information provided above and in the partial table below, complete the ANOVA table (use 2 decimals for your answers).

1. the starting mass of your aspirin tablet(mg)

2. the amount of ASA recovered

3. the calculated mass of excipients/binders that were not recovered

4. the melting point('c) of your isolated ASA

5. What is the percent isolation of the active ingredient, ASA? Provide your % isolation calculation ( Note: percent isolation is mg of ASA recovered/ manufacturer mg stipulated*100)

6. Describe some observations you found fascinating. Discuss the purpose of acquiring a melting point and what it means to a budding scientist, like you! Discuss how we might have lost material in the experiment

This experiment is Isolation of ASA from an Aspirin Tablet

Aspirin = 325mg

mass of tablet= 376mg

1grain=64.8, contain 5grains

tare weight of Aluminum weighing= 411mg

154 ASA isolated, % isolation= actual/theoretical=154/325*100=47%

In 1954, an experiment was conducted to test the effectiveness of the Salk Vaccine as protection against the devastating effects of polio. Approximately 200,000 children were injected with an ineffective salt solution, and 200,000 other children were injected with the vaccine. The experiment was "double blind". Only 30 of the 200,000 vaccinated children later developed paralytic polio, whereas 120 of the 200,000 injected with the salt solution later developed paralytic polio.

a) Estimate the 95% confidence interval for the relative risk of the children in two groups.

b) Summarize the conclusion in one or two sentences. Use level of significance at 0.05 to make your conclusion by stating whether p-value is greater or less than cut off. Report the point estimate and 95% confidence interval of relative risk but describe it in plain words how much risk of one group is different than other group.