Answer:
(a) 0.0000245
(b) 0.000025
Step-by-step explanation:
The complete question is:
Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is 50
/10,000 = 0.005. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
Solution:
(a)
In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.
The probability of selecting the first defective chip is:
Now there are 9999 chips left and 49 defective chips among them.
The probability of selecting the second defective chip is:
Compute the probability that two randomly selected chips are defective using conditional probability as follows:
P (Two defective chips)
Thus, the answer is 0.0000245.
(b)
Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:
The above statement implies that the selection was done with replacement.
The probability is:
P (Two defective chips)
Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.
Answer:
a id equal to 6
k is equal to 6
p is equal to 2 and -2 both
Step-by-step explanation:
we have two lines you have to draw.
one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).
the easiest is for x>5. the line function is only
f(x) = y = 3
so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).
and for x<=0 the line
f(x) = y = 4x - 3
goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.
so, the starting point (with a full dot, as x=0 is included) is (0,-3).
from there it goes sharp down and a little bit to the left.
for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).
the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.
Answer:
slope = -3/4
using the formula
y -y1 = m(x -x1)
y -1 = -3/4(x -(-8))
y -1 = -3/4(x +8)
cross multiply
4(y -1) = -3(x +8)
4y -4 = -3x -24
4y = -3x -24 +4
4y = -3x -20
divide both sides by 4
y = -3/4 x -5 (equation of the line)
Answer:
Step-by-step explanation:
The pizza may look half in size but the half pieces may not equal in Weight.