1 A quiz consists of 10 multiplechoice questions each with 6

1)  A quiz consists of 10 multiple-choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.?

Please kindly answer all 3 questions

Solution

1.

This means you have to get at least 6 correct.

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 =    10      
p = the probability of a success = 1/6 =   0.166666667      
x = our critical value of successes =    6      
          
Then the cumulative probability of P(at most x - 1) from a table/technology is          
          
P(at most   5   ) =    0.997561844
          
Thus, the probability of at least   6   successes is  
          
P(at least   6   ) =    0.002438156 [ANSWER]

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