Answer:
it is 20.5
Step-by-step explanation:
you need to add all of the numbers together
Answer:

The mean of the distribution is 0.25.
The variance of the distribution is of 0.6875.
Step-by-step explanation:
Probability density function:
For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:



So the probability distribution is:



Mean:
Sum of each outcome multiplied by its probability. So

The mean of the distribution is 0.25.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probability. So

The variance of the distribution is of 0.6875.
Answer:
1.25% widgets from factory A fail.
Step-by-step explanation:
Probability of widgets that fail = 0.05
Probability of failing widget to belong from factory A = 0.25
Probability of failing widget to belong from factory B = 0.35
Probability of failing widget to belong from factory C = 0.40
Probability of factory A widgets failing = Probability of widgets failing * probability they belonged from factory A
Probability of factory A widgets failing = 0.05 * 0.25 = 0.0125
This probability stated as percentage: 1.25%
<u>4</u><u>1</u><u>7</u><u>3</u>
Hope this helped you- have a good day bro cya)