how to find pmf of x?
150866
['0≤PX(x)≤1 for all x;', '∑x∈RXPX(x)=1;', 'for any set A⊂RX,P(X∈A)=∑x∈APX(x).']
1475934
The easiest way is simply to remember that the x-coordinate of the vertex is always equal to -b/2a, where a is the coefficient of the x2 term and b is the coefficient of the x term. You could also sketch a graph using ordered pairs and try to eyeball where the vertex would be.
994608
['lb = 0; % Set a lower bound for the function.', 'ub = 2*pi; % Set an upper bound for the function.', 'x = NaN*ones(100,1); % Initializes x.', 'starting_points=linspace(0,2*pi,100);', 'for i=1:100.', "% Look for the zeros in the function's current window.", 'x(i)=fzero(@(x)sin(10*x), starting_points(i));', 'end.']
17358
['Arrange the polynomial in descending order.', 'Write down all the factors of the constant term. These are all the possible values of p.', 'Write down all the factors of the leading coefficient. ... ', 'Write down all the possible values of . ... ', 'Use synthetic division to determine the values of for which P( ) = 0.']
172607
In equation form, this is P=1f P = 1 f , where f is the focal length of the lens, which must be given in meters (and not cm or mm). The power of a lens P has the unit diopters (D), provided that the focal length is given in meters. That is, 1D=1m, or 1m−1 1 D = 1 m , or 1 m − 1 .
1415012
90+(2x+6)+mAOQ = 180. 90+(4x-12)+mAOS = 180. x=9 and mAOQ=mAOS=66° Now you can find mQBO, by.
263103
['Remove Common Factors if possible.', 'If the coefficient of the x2 term is 1, then. x2 + bx + c = (x + n)(x + m), where n and m. · Multiply to give c. · Add to give b.', 'If the coefficient of the x2 term is not 1, then use either. Guess-and Check. List the factors of the coefficient of the x2 term.']
76330
['Break down every term into prime factors. This step expands the original expression to.', 'Look for factors that appear in every single term to determine the GCF. ... ', 'Factor the GCF out from every term in front of parentheses and group the remnants inside the parentheses. ... ', 'Multiply each term to simplify.']
234638
['Find the GCF of all the terms in the polynomial.', 'Express each term as a product of the GCF and another factor.', 'Use the distributive property to factor out the GCF.']
1284548
You can find the roots, or solutions, of the polynomial equation P(x) = 0 by setting each factor equal to 0 and solving for x. Solve the polynomial equation by factoring. Set each factor equal to 0. 2x4 = 0 or (x – 6) = 0 or (x + 1) = 0 Solve for x.
1325704
=PMT(17%/12,2*12,5400) For example, in this formula the 17% annual interest rate is divided by 12, the number of months in a year. The NPER argument of 2*12 is the total number of payment periods for the loan. The PV or present value argument is 5400.
1202632
In probability and statistics, a probability mass function (PMF) is a function that gives the probability that a discrete random variable is exactly equal to some value. ... The value of the random variable having the largest probability mass is called the mode.
874019
['Press Calc (2nd Trace)', 'Choose Zero (#2)', 'For the Left Bound, arrow to the left of the x-intercept and press enter.', 'For the Right Bound, arrow to the right of the x-intercept and press enter.', 'For the Guess, arrow to the x-intercept and press enter.']
439015
['First, replace f(x) with y . ... ', 'Replace every x with a y and replace every y with an x .', 'Solve the equation from Step 2 for y . ... ', 'Replace y with f−1(x) f − 1 ( x ) .']
1069129
['Use the quadratic formula to get solutions for x. (You can also use your calculator to get the solutions.) ... ', 'Take the two solutions and put them in factors. If a solution is positive, use subtraction. ... ', 'If either solution is a fraction, take the denominator and bring it in front of the x.']
351663
['Set each factor in the numerator to equal zero.', 'Solve that factor for x.', "Check the denominator factors to make sure you aren't dividing by zero!"]
859847
['=PMT(interest rate as a decimal/12, number of months in loan term, loan amount, with fees)', '=PMT(.04/12, 60, 13000)', '=RATE(number of months in loan term, estimated monthly payment, value of loan minus fees)*12.', '=RATE(60,-239.41,12500)*12.']