A radar complex consists of eight units that operate independently. The probability that a unit detects an incoming missile is `0.9`. Then the probability that an incoming missile will not be detected by any unit is

A radar complex consists of eight units that operate independently.The probability that a unit defects an incoming missile is 0.9.Find the probability that an incoming missile will (i)not be detected by any unit.

A radar complex consists of eight units that operate independently. The probability that a unit detects an incoming missile is 0.9. The probability that an incoming missile will not be detected by at most four units is

A radar complex consists of eight units that operate independently.The probability that a unit defects an incoming missile is 0.9.Find the probability that an incoming missile will (ii)be detected by atmost four units.

An instrument consists of two units.Each unit must function for the instrument to operate.The reliability of the first unit is 0.9 and that of the second unit is 0.8. The instrument is tested & fails.The probability that only the first unit failed & the second unit is sound is

A certain water-supply system consists of a source, three pumping stations, and a destination. Each pump ing station has a probability p (0 lt p lt 1) of being operable at a specified time to and station functions independently of one another. The stations are connected as shown in figure: The probability that water is available to the destination at time to is

A radioactive sample consists of two isotopes one of then decays by alpha- emission with a half life of tau_(1)=405s and the other one decays by beta emission with half life of tau_(1) =1620s . At time t=0, probabilities of getting alpha and beta particles from the sample are equal. (a) If a particle coming out of the sample is detected at t=1620s, what is the probability that it is alpha particle? (b) Find the time when total number of surviving nuclei is half the initial quantity. Given If x^(4)+4x-2.5=0 then x=0.59 "log"_(10)2=0.301, "log"_(10)5.9=0.774

If the four positive integers are selected randomly from the set of positive integers, then the probability that the number 1,3, 7 and 9 are in the unit place in the product of 4 - digit, so selected is