jeff has 8 red marbles, 6 blue marbles, and 4 green marbles that are the same size and shape. he puts the marbles into a bag, mixes the marbles, and randomly picks one marble. what is the probability that the marble will be blue?

6/18 = 1/3

The result of an exam score for a given class is normally distributed. If the mean score is

85 points and the standard deviation is equal to 20 points, find the cutoff passing grade
such that 83.4% of those taking the test will pass.

45

50
602

7 A company has three machines A, B and C which all produce the same two parts, X and

Y. of all the parts produced, machine A produces 60%, machine B produces 30%, and
machine C produces the rest. 40% of the parts made by machine A are part X, 50% of the
parts made by machine B are part X, and 70% of the parts made by machine C are part X.
A part produced by this company is randomly sampled and is determined to be an X part.
With the knowledge that it is an X part, find the probabilities that the part came from
machine A, B or C.

1000 blue mabrles 564 red mabrels and 200 green mabrels

To find the probability of picking a blue marble, we need to determine the total number of marbles and the number of blue marbles.

Jeff has a total of 8 red marbles, 6 blue marbles, and 4 green marbles. Therefore, the total number of marbles is 8 + 6 + 4 = 18.

Now, we need to find the number of blue marbles, which is 6.

The probability of picking a blue marble can be calculated by dividing the number of favorable outcomes (blue marbles) by the number of total outcomes (total number of marbles).

So, the probability of picking a blue marble is 6/18, which simplifies to 1/3.

Thus, the probability of picking a blue marble from the bag is 1/3.