Please work with great detail Problem 2 What is more probable: a) To get 10 as a
ID: 3440207 • Letter: P
Question
Please work with great detail
Problem 2 What is more probable:
a) To get 10 as a sum of the scores on three dice or
b) To get a pair of numbers after tossing three dice.
Problem 5.Use excel to estimate the probability that the product of the scores of tossing 10 dice is larger than 59,000.
Problem 8. A prevalence (base line) of TMX disease is 0.7%. A screening test for a TMX disease has 6% false positive rate and 11% false negative rate. If a person is negative on the test what is a probability that he is really healthy.
Problem 11 A company is buying certain machine pieces from three different vendors.
Vendor A’s machine you get are broken 15% of times vendor B’s 20% and vendor C 30% of time. Overall the company receives broken machines 20% of time. An inspector randomly chooses one of the broken machines. What is a probability that the machine is from vendor A?
Explanation / Answer
For a sum of 10, there are these 27 possibilities:
For a pair:
There are 6 ways to select a pair.
There are 3!/(2!1!) = 3 ways to permute the pair in the three dice.
There are 5 ways to select what number goes with the pair.
Thus, there are 6*3*5 = 90 ways to select a pair in three dice.
Comparing, 90 > 27, which means A PAIR IS MOR PROBABILE. [ANSWER]
************************
Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!
1 3 6 1 4 5 1 5 4 1 6 3 2 2 6 2 3 5 2 4 4 2 5 3 2 6 2 3 1 6 3 2 5 3 3 4 3 4 3 3 5 2 3 6 1 4 1 5 4 2 4 4 3 3 4 4 2 4 5 1 5 1 4 5 2 3 5 3 2 5 4 1 6 1 3 6 2 2 6 3 1