An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is hhh, then =Rhhh0. Suppose that the random variable X is defined in terms of R
as follows: =X−R2. The values of X are thus: Outcome ttt htt tht hth thh hhh tth hht
Value of

X 1 0 0 −1 −1 −2 0 −1
Calculate the probability distribution function of X, i. e. the function pXx. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have