Acontractor has two subcontractors for his excavation work. experience shows that in 60% of the time, subcontractor a was available to do the job, whereas subcontractor b was available 80% of the time. (a) what is the probability that both subcontractors will be available to do the job? (b) if the contractor learned that subcontractor a is not available for the job, what is the probability that the other subcontractor will be available? (c) suppose ea denotes the event that subcontractor a is available, and eb denotes that subcontractor b is available. (i) are ea and eb statistically independent? (ii) are ea and eb mutually exclusive? (iii) are ea and eb collectively exhaustive?

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Which expression shows the sum of the polynomials with like terms grouped together