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There are two containers. One contains the letters CEPHALOPOD the other the lett

ID: 2923388 • Letter: T

Question

There are two containers. One contains the letters CEPHALOPOD the other the letters BUMBLEBEES You choose a container by coin toss and then randomly select a letter. Find the following probabilities (a) P(o) (b) P[( vowel)- Check Suppose a certain drug test is 97% sensitive, that is, the test will correctly identify a drug user as testing positive 97% of the time, and 92% specific, that is, the test will correcty identify a non-user as testing negative 92% of the time. Suppose a corporation decides to test its employees for kug use, and that only 0 3% of the employees actually use the drug What is the probability that, given a positive drug test, an employees tually a drug user? Let D stand for being a drug user and N indicate being a non-user Let be the event of a positive drug test and be the event of a negative drug test (b) P(N) = (d) P(@)N)-

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

1) a) Each container can be selected with Probability of 0.5

P(O) = 0.5 * 2C1/10C1 (one O can be selected from 2 Os in 2C1 ways)

P(O) = 0.1

2) P(vowel) = 0.5 * 4/10 + 0.5 * 4/10 (both words have 4 vowels)

P(vowel) = 0.4