According to the cdc, approximately 46% of the population received a flu shot last year. if you randomly selected 3 people, fill in the probability distribution for the x = the number of people who received the flu vaccine.

The binomial distribution can be calculated as:
P(r out of n) = (nCr) (p)^r (q)^(n-r)
In this case, p = 0.46, q = 1 - 0.46 = 0.54, and n = 3 people, so the formula is:
P(r out of 3) = (3Cr) (0.46)^r (0.54)^(3-r)
For r = 0, P = 0.1575
For r = 1, P = 0.4024
For r = 2, P = 0.3428
For r = 3, P = 0.0973

Notice that adding up the 4 values of P gives a value of 1.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

Answer is either b or c