SOLUTION: In testing a certain kind of heavy duty tire over a rugged terrain, it is found that 24.8% of these fail to complete the test run without blowout. Of the next 23 tires tested, find

Question 1100253: In testing a certain kind of heavy duty tire over a rugged terrain, it is found that 24.8% of these fail to complete the test run without blowout. Of the next 23 tires tested, find the probability that:
(Round your answers to four decimal places if necessary)
a. from 2 to 6 have blowouts;
b. fewer than 3 have blowouts;
c. more than 7 have blowouts.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In testing a certain kind of heavy duty tire over a rugged terrain, it is found that 24.8% of these fail to complete the test run without blowout. Of the next 23 tires tested, find the probability that:
(Round your answers to four decimal places if necessary)
Binomial problems with n = 23 ; p = 0.248 ; x is variable
----
a. from 2 to 6 have blowouts;
P(2<= x <= 6) = binomcdf(23,0.248,6)-binomcdf(23,0.248,1) = 0.6500
-------------------
b. fewer than 3 have blowouts;
binomcdf(23,0.248,2) = 0.0513
----------------
c. more than 7 have blowouts.
1 - binomcdf(23,0.248,7) = 0.1900
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Cheers,
Stan H.
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