<span>C(15,9) * (1/2)^9 * (1/2)^6 = 5005/32768 = .153 approx</span>
Answer:
(a) 0.85
(b) 0.7225
Step-by-step explanation:
(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:

The proportion is 0.85.
(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:

An estimate of 0.7225 for the proportion of all such systems that will function properly.
Answer:
4 3/16 miles a day
Step-by-step explanation:
16 3/4 miles in 4 days
Divide 16 3/4 by 4
16 3/4 = 67/4
4 = 4/1
To divide you multiply by the reciprocal(flip of the numerator and denominator)
67/4 ÷ 4 = 67/4 x 1/4 = 67/16
67/16 = 4 3/16
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Outcome Red Blue Green Yellow
Frequency 10 5 13 7 total: 35 trials
experimental probability of Yellow: 7/35 =1/5 or 20%
experimental probability of Blue or Red: 5/35 + 10/35 = 15/35 = 3/7 or 42.86%
The sample is biased. This is because all he interviewed are employees of the company. They are more inclined to give a positive feedback regardless of their true opinion because they want to retain their jobs.