Answer:
Step-by-step explanation:
Add all paper clip sizes together:
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that
Sample of 10 means that
No polymeter B which means that
17 fibers of polymeter B which means that
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B