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?

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation:

add an image

step-by-step explanation:

1 and 0

step-by-step explanation: