Jason got a bag full of colorful jelly beans. There were 40 of them: 10 were red

Question

Jason got a bag full of colorful jelly beans. There were 40 of them: 10 were red, 4 were yellow, 5 were orange, and 11 were blue. After shaking the bag, he randomly selected two jelly balls from the bag. What's the probability that the first one was a yellow and the second one was also a yellow? Imagine a researcher has developed a new device for estimating blood alcohol content from a breath sample. Imagine that the new test accurately indicates a drunken condition in 95.6% of the people who are drunk. What's the miss rate? Imagine that 200 people who did not have Hepatitis C participated in a Hepatitis C screening. The screening indicated that 92.3% of them had a negative test result. What's the false positive rate? Problem-Solving-Solve each of the following problems. A graduate school Professor wanted to know average age of students in his class. He randomly selected five students and obtained their ages. Their ages were 26,32,22,21, and 25 years. What's the standard error of the mean from our sample estimation?

Explanation / Answer

8.

Note that the probability of x successes out of n trials is          
          
P(x) = C(N-K, n-x) C(K, x) / C(N, n)          
          
where          
N = population size =    40      
K = number of successes in the population =    4 yellow balls      
n = sample size =    2      
x = number of successes in the sample =    2 (both are yellow)  
          
Thus,          
          
P(   2   ) =    0.007692308 [ANSWER]

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