A very large batch of components has arrived at a distributor. The batch can be characterized as acceptable only if the proporti
on of defective components is at most .10. The distributor decides to randomly select 10 components and to accept the batch only if the number of defective components in the sample is at most 2. Let X denote the number of defective components in the sample. What is the distribution of X? Justify your answer. Required:
What is the probability that the batch will be accepted when the actual proportion of defectives (p) is:_______
To accept a batch of components, the proportion of defective components is at most 0.10.
X: Number of defective components in a sample of 10.
This variable has a binomial distribution with parameters n=10 and p= 0.10 (for this binomial experiment, the "success" is finding a defective component)
The distributor will accept the batch if at most two components are defective, symbolically:
P(X≤2)
Using the tables for the binomial distribution you can find the accumulated probability for a sample of n=10 with probability of success of p= 0.10 and number of successes x= 2
First you have to multiply 1,500 by 65%. A way to do that is 1,500 x 65 and then divide by 100. So 1,500 x 65 is 97,500. 97,500 divided by 100 is 975. The final answer is that there are 975 girls in the school.
work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.,
Basically the remainder theorem links the remainder of division by a binomial with the value of a function at a point while the factor theorem links the factors of polynomial to its zeros
