Let X1, Y1, X2, Y2, . . . be independent random variables, each uniformly distributed in the unit interval [0, 1], and let W = (X1 + . . . + X500) − (Y1 + . . . + Y500) 500 . Let, 500 is a big number. Using the Central Limit Theorem (CLT), find a good approximation to the probability P(|W − E[W]| < 0.01).

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

step-by-step explanation:

bob the banana

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12