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please help Note: Answer the Question(s) by Using the TI-30XA Calculator. IMPORT

ID: 3023170 • Letter: P

Question

please help


Note: Answer the Question(s) by Using the TI-30XA Calculator. IMPORTANT: Make sure you carry all decimals until you reach your answer, then round to four decimals A box contains 10 two-inch screws, of which 4 have a Phillips head and 6 have a regular head. Suppose that you select 3 screws randomly from the box. What is the probability that there will be more than one Phillips head screw under a with replacement scenario? n one Pilips head rew under a with replacement scenario? Probability Grade My Work!

Explanation / Answer

Note that P(more than x) = 1 - P(at most x).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    3      
p = the probability of a success = 4/10 =   0.4      
x = our critical value of successes =    1      
          
Then the cumulative probability of P(at most x) from a table/technology is          
          
P(at most   1   ) =    0.648
          
Thus, the probability of at least   2   successes is  
          
P(more than   1   ) =    0.352 [ANSWER]