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
Answer:
(x + 4)(x - 4)
Step-by-step explanation:
There are actually quite a lot of pairs of binomials the disproves Eric's conclusion, but they all model after the same special product: a^2 - b^2.
The special product a^2 - b^2 can be factored into (a + b)(a - b) and for all real a and b, it will come out as a binomial.
Here is an example:
(x + 4)(x - 4)
We can use the distributive property to get:
x^2 - 4x + 4x - 16
which is the same as
x^2 - 16
This would disprove Eric's conclusion.
Check the picture below.
make sure your calculator is in Degree mode.
Answer:
The correct answer would be 36.
Step-by-step explanation: