The probability that at least one out of 4 devices of this type will function fo

Question

The probability that at least one out of 4 devices of this type will function for at least 30 months:

Entered Answer Preview Result 0.6875 correct 32 0 correct 1-(22/x) correct 2214 30 0.710795061728395 incorrect At least one of the answers above is NOT correct (1 point) The probability density function of X, the lifetime of a certain type of device (measured in months), is given by 0 ifx 32)22/32 The cumulative distribution function of X: if x 22 The probability that at least one out of 4 devices of this type will function for at least 30 months: 1 (22/30)A4

Explanation / Answer

probability that one device will function for less then 30 months =P(X<30) =1-22/30 =8/30

hence probability that at least one of 4 function at least 30 months =1-P( all work less then 30 months)

=1-(8/30)4 =0.994943421

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