Let B be the basis of set of prime numbers P 3 consisting of the Hermite polynomials? 1, 2t, negative 2 plus 4 t squared comma and negative 12 t plus 8 t cubed ; and let Bold p left parenthesis t right parenthesis equals negative 2 minus 8 t squared plus 8 t cubed . Find the coordinate vector of p relative to B.

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?