ory Bookmarks Window Help ork 12 Chapter 12 13 t0 Remaining

ory Bookmarks Window Help ork 12 Chapter 12 & 13 t0 Remaining Time: 1 hour, 45 minutes, 48 seconds. Question Completion Status: > Moving to another question will save this response. Question 5 of 10 Question 5 2 points Save The student body of a large university consists of 60% emalstudents. A random sample of 11 students is selected. What is hepro abi among the students in the sample at least 8 are male? 0 0.013 0 0029 0.042 0.002 Moving to another question wil save this response. Question 5 o·10 0 FS

Solution

Note that P(at least x) = 1 - P(at most x - 1).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    11      
p = the probability of a success = 1 - 0.6 =   0.4      
x = our critical value of successes =    8      
          
Then the cumulative probability of P(at most x - 1) from a table/technology is          
          
P(at most   7   ) =    0.970718515
          
Thus, the probability of at least   8   successes is  
          
P(at least   8   ) =    0.029281485 = 0.029 [ANSWER, B]