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wileyplus com/edugen/student/mainfr.uni access, place your bookmarks here on the bookmarks bar. BUSINESS STATISTICS (ECON 2 Black, Business Statistics, Be A Department of Transportation survey showed that 6owof us, residents over 65 years age use phones in fight even if there were no issues with the phones interfering with communications systems. this information is correct andra researcher randomly selects 25 s, residents who over 65 years of a. What is the probabilty that exactly 12 oppose the use of cell phones in flight? b. What is the probability that more than 17 oppose the use of cel phones infight? c. What is the probability that less than eight oppose the use of oal phones infloht? irthe researcher actually got less than eight, what might she condude about the Transportation survey? decimal places when calculating sing A 2.) "(Round your answers (Round your answer to 1 decimal places) Round your answer to decimalplaces. 25 and p 25 and p 25 and p sine such a result would only ocoar of the time by chance, it is likely that the researcher's sample was not representative of the us. figure is not correct for the population. residents over 65 years at age or the Question Attempts 0 of 2 used SAVE onLAm All Roghei Reserved. A Division of lotn NleLASunu, uns.

Explanation / Answer

a)

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    25      
p = the probability of a success =    0.6      
x = the number of successes =    12      
          
Thus, the probability is          
          
P (    12   ) =    0.075966705 [ANSWER]

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b)

Note that P(more than x) = 1 - P(at most x).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    25      
p = the probability of a success =    0.6      
x = our critical value of successes =    17      
          
Then the cumulative probability of P(at most x) from a table/technology is          
          
P(at most   17   ) =    0.846448265
          
Thus, the probability of at least   18   successes is  
          
P(more than   17   ) =    0.153551735 [ANSWER]

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c)

Note that P(fewer than x) = P(at most x - 1).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    25      
p = the probability of a success =    0.6      
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   ) =    0.001205441
          
Which is also          
          
P(fewer than   8   ) =    0.001205441 [ANSWER]

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d)

First blank: 0.1205441% [ANSWER]
Second blank: 60% [ANSWER]

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