Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35
The table you drew under the question is exactly the right way to start.
-- Make a second column, next to the 6 and 7. This column will be
the actual number of each thing.
-- You know that there are 42 marbles, so write '42' in the box
next to the 6, on the 'Marbles' line.
Now you need to figure out what to write in the 'Stones' line, next to the 7.
-- Look at the 'Marbles' line. There's a 6 and then a 42.
Ask yourself: " Self ! What does the 6 have to be multiplied with to get 42 ?"
-- Whatever the answer is, drop down to the 'Stones' line,
and multiply the 7 by the same number.
The product is the total number of stones, and it goes in the box.
.
.
.
(The mystery number is 7. There are 49 stones.)
Answer:
x = -5
Step-by-step explanation:
Note that x does not change. Hence, this line is a vertical one, and its slope is undefined. The line is defined by the equation x = -5.
