16. A study of a manufacturing process indicates that 120 of 6,000 units produced are defective. If a sampler selected 100 units, how many defective units would he expect to be present? (Points: 5)
2
5
6
10
17. Six red balls and four blue balls are placed in a container. What is the probability that the first ball drawn from the container is blue? (Points: 5)
0.286
0.40
0.60
0.67
To find the answer to question 16, we need to calculate the probability of selecting a defective unit from the given population.
First, we find the proportion of defective units in the population: 120 defective units out of 6,000 units.
To calculate the probability of selecting a defective unit, we divide the number of defective units by the total number of units:
Probability of selecting a defective unit = (Number of defective units) / (Total number of units)
= 120 / 6,000
= 0.02
Therefore, the probability of selecting a defective unit is 0.02.
Now, to find the expected number of defective units in a sample of 100 units, we multiply the probability of selecting a defective unit by the sample size:
Expected number of defective units = (Probability of selecting a defective unit) × (Sample size)
= 0.02 × 100
= 2
Therefore, the expected number of defective units in a sample of 100 units is 2.
Hence, the answer to question 16 is 2.
For question 17, we are given that there are six red balls and four blue balls in a container.
To find the probability of drawing a blue ball, we divide the number of blue balls by the total number of balls:
Probability of drawing a blue ball = (Number of blue balls) / (Total number of balls)
= 4 / 10
= 0.4
Therefore, the probability of drawing a blue ball is 0.4.
Hence, the answer to question 17 is 0.40.