Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is
when
. So






0.762 = 76.2% probability that this shipment is accepted
Answer:
55%
Step-by-step explanation:
Total number of targets = 20
Number of targets hit = 11
100 / 20 = 5
5 * 11 = 55
This means that 55% of the targets were hit.
Answer:
The fraction of red guppies = 1/10
Step-by-step explanation:
Garys fish are guppies = 3/5
1/6 of them are red.
Number of red guppies = ?
To find the fraction of red guppies, we will multiply both the fractions.
Number of red guppies = 3/5 * 1/6
Number of red guppies = 3/30
Number of red guppies = 1/10
Thus the fraction of red guppies = 1/10 ....