Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
Answer: C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(1/3) / 5 is 0.066 and (1/15) is 0.066
Answer:
The answer to your question is y = -7/2x -13/2
Step-by-step explanation:
Point = (-3, 4)
Line -2x + 7y = -3
Process
1.- Solve equation for y to find the slope of the perpendicular line
7y = 2x - 3
y = 2/7 x - 3/7
slope = 2/7
Slope of the perpendicular line = -7/2
2.- Find the equation of the new line
y - y1 = m(x - x1)
y - 4 = -7/2(x + 3)
y - 4 = -7/2x - 21/2
y = -7/2x - 21/2 + 4
y = -7/2x -21/2 + 8/2
3.- Result
y = -7/2x -13/2
Using the discrete probability outputs given in the attached table ; the probability values of having exactly 6 ; and having 6 or more girls are :
<u>The </u><u>probability</u><u> of having </u><u>exactly 6 girls</u><u> can be defined as</u> :
- P(X = 6) = 0.111 (from the discrete probability table)
2.)
<u>The </u><u>probability</u><u> of having </u><u>6 or more</u><u> girls can be defined as</u> :
- P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8)
- From the table attached :
- P(X ≥ 6) = 0.111 + 0.014 + 0.003 = 0.1
Therefore, the probability of having exactly 6 girls is 0.111 while the probability of having 6 or more girls is 0.1
Learn more : brainly.com/question/18153040
