what's wrong with the following statement? "because the digits 0, 1, 2, . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution." choose the correct answer below. a. the lottery digits have a normal distribution only if the digits are drawn with replacement, which is not specified. b. it is not the randomly selected digits that have a normal distribution but rather the chances of winning the lottery. c. since the probability of each digit being selected is equal, lottery digits have a uniform distribution, not a normal distribution. d. the lottery digits have a normal distribution only if the digits are drawn without replacement, which is not specified.

17.08

correct me if i am wrong.

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step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt