Suppose my grocery store of choice has 20 shopping carts in total and 10 of themhave wobbly wheels (they don’t really push properly). I’ve gone to the store with3 of my friends to stock up for a big party and we decide to split up (each of ustaking a cart, so 4 carts in total). Let X be the number of carts with wobbly wheels (out of the 4 me and my friends have taken).
a. What is the distribution of X?
b. Give the name of the distribution and the appropriate parameters.
c. What is the mean and variance of this distribution?
d. Give your answer as a number, but include the formulas (or logic) used.
e. What is the probability exactly 2 of us have carts with wobbly wheels?
f. What is the probability that at least 1 of us has a cart with wobbly wheels?

idk

step-by-step explanation: i just don't

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day

too hard the other guy did it

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.