Suppose you roll two dice. Let X represent the number of even numbers appearing on the dice. For instance- (1 & 3) is X=0 even numbers. (2 & 5) is X-1 even numbers. (4 & 4) is X=2 even numbers. X P(X=X) 0|| 1 2 Enter an integer or decimal number [more..] Give probabilities as decimals or fractions (not percents).

In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table also shows the probability of earning that profit.  The negative value indicates a loss.   x f(x)   x = profit   -100 0.01   f(x) = probability -200 0.04       0         100 0.26       200 0.54       300 0.05       400 0.02         12 If we add $45 to each value in the profit/loss column above, the new variance of profit will be,   a 12,169               b 11,741               c 11,696               d 11,467

If we know P(A and B) = P(A) x P(B | A), we can say event A and B are independent

A recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large. The survey found that 65% of the respondents do believe inequality is too large. In a sample of six British citizens, what is the probability that two believe inequality is too large? If required, round your answer to four decimal places.f (2) = In a sample of six British citizens, what is the probability that at least two respondents believe that inequality is too large? If required, round your interim calculations and final answer to four decimal places.P (at least 2) = In a sample of four British citizens, what is the probability that none believe inequality is too large? If required, round your answer to four decimal places.f (0) =

Describe an example of when it might be appropriate to use a binomial experiment in the real world.

Q P.16: P(A and B) = 0. 32, P(not A and B) = 0.48. Find P(A) and P(B) if events A and B are independent.

could you write out steps for b and c please

Is my solution to my problem correct? If not explain where I went wrong.

If two events A and B are independent and you know that P(A) = 0.85, what is the value of P(A | B)?