Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test
1 answer:
Answer:
Probability of eligible applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
Step-by-step explanation:
Total percentage eligible applicants who pass the exam
Total ineligible applicants who pass the exam
All applicants who pass this exam 62.3% + 4.2% = 66.5%
Probability of applicants who pass the exam
Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible
Probability of applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
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The general idea is to use a special operation called the dot product. Given two lists of numbers, where the lists are of equal length, you multiply corresponding elements in each list, then add the products together.
For example, consider the lists {1, 2, 3} and {0, -1, 2}. The dot product of these two lists is 1*0 + 2*(-1) + 3*2 = 0 - 2 + 6 = 4. In matrix form, we would denote this example by
In either case, the orientation of one matrix has to be the opposite of the other, so that the number of rows in the first matrix matches the number of columns in the second matrix.
For matrices of larger size, we can break up the whole product into smaller, 1-row/1-column products like in the example above. For instance, consider the matrix product
The elements in the resulting matrix correspond to the dot products of different combinations of rows from the first matrix and columns from the second matrix. We have