Determine the average value of F(x, y, z)

A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents, “When traveling internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group (USA Today, January 21, 2004).

a. In a sample of six international travelers, what is the probability that two will stick with their tour group?

b. In a sample of six international travelers, what is the probability that at least two will stick with their tour group?

c. In a sample of 10 international travelers, what is the probability that none will stick with the tour group?

Assume that 60% of the students at Remmington High studied for their Psychology test.  Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.  What is the approximate probability that someone that gets an A actually studied for the Psychology test?

translate into a variable expression. Then simplify. 

a number decreased by the total of the number and twelve.

How do I prove that this ideal is not a ' ideal?
Let K be a field and $R=\frac{K[X,Y]}{\left(XY\right)}.F\text{or}P\in K[X,Y]$ we denote ${\displaystyle \left[P\right]}$ its class in R. Show that the Ideal (XY) is not a ' ideal.

You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places.
$\begin{array}{|cccc|}\hline \text{ Category }& \text{ Observed Frequency }& \text{ Expected Frequency }& \text{ (obs-exp)^2/exp }\\ \text{ A }& 15\\ \text{ B }& 19\\ \text{ C }& 23\\ \text{ D }& 18\\ \text{ E }& 5\\ \hline\end{array}$
What is the chi-square test-statistic for this data?${\displaystyle {\chi }^2=}$
At the alpha = 0.05 level, what is the conclusion for this test?
Fail to reject the null hypothesis
Reject the null hypothesis
Report all answers accurate to three decimal places.

Determine whether g(x)= x lxl is even or odd or neither function.