Jannetta and George each made apple juice. Jannetta mixed 12 fluid ounces of apple concentrate with every quart of water to make
1 answer:
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I'll use subscript notation for brevity, i.e. .
By the chain rule,
We have
and
When , we have
and the partial derivatives take on values of
So we end up with
Answer:
a) 0.0184
b) 0.1829
Step-by-step explanation:
a) With geometric distribution you can measure the number of trials until the first success, that is, a defective chip is found, as follows:
P(x = k) = p*(1-p)^(k-1)
This means: probability to find exactly 1 defective in k trials, p is the probability to find a defective chip, which is equal to 0.02, and the number of trials are k = 5. Replacing:
P(x = 5) = 0.02*(1-0.02)^(5-1) = 0.0184
b) If you want the probability of 1 success within k trials, compute:
Replacing with k = 10