The probability that one such device will work at least 15 hours at least 3 among 6 devices is 0.33 approximately.
The cumulative distribution function of X is:[tex]F(x)= 1- 10/x[/tex] ( for x > 10)
X = the entire lifespan of a definite type of electronic device in hours, then the probability function of X,
here we use the cumulative distribution function, which is used to specify random variables,
F(X)= 1 - 10/X is cumulative distribution function,
then the probability that at least 3 devices will work for 15 hours
P(X[tex]\geq[/tex]15)= 1- P(X<15)
= F(15)
= 1- 10/15
=5/15
=0.333
Hence, the probability that one such device will work at least 15 hours at least 3 among 6 devices is 0.33 approximately.
To know more about the cumulative distribution function:
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