Answer: 1/4
Step-by-step explanation:
Since the box box contains four equal-sized cards labeled 1 , 3, 5, and 7. The probability of selecting any number out of the four numbers will be 1/4 if they are selected once.
If Tim selects one card from the box, the probability that Tim will select a card labeled 3 will be: = 1/4
This is because 3 only occurs once and there are 4 numbers in total.
Answer:
the equation of the line is y = -3x - 6
Step-by-step explanation:
Note that since (0, -6) is the y-intercept, we can write the slope-intercept equation of the line as y = mx - 6. The other given point is (-2, 0) (which happens to be the x-intercept also). Starting with y = mx - 6, replace y with 0 and x with -2:
0 = m(-2) - 6. We now solve this for the slope, m: 0 = -2m - 6 becomes
2m = -6, or m = -3.
With m = -3 and b = -6, the equation of the line is y = -3x - 6
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
You already wrote it as an improper fraction. The mixed number is 7 1/8.
