# Question: A sprinkler system inside an office building has two types

A sprinkler system inside an office building has two types of activation devices, D1 and D2, which operate independently. When there is a fire, if either device operates correctly, the sprinkler system is turned on. In case of fire, the probability that D1 operates correctly is .95, and the probability that D2 operates correctly is .92. Find the probability that

a. Both D1 and D2 will operate correctly.

b. The sprinkler system will come on.

c. The sprinkler system will fail.

a. Both D1 and D2 will operate correctly.

b. The sprinkler system will come on.

c. The sprinkler system will fail.

**View Solution:**## Answer to relevant Questions

Two randomly selected grocery store patrons are each asked to take a blind taste test and to then state which of three diet colas ( marked as A, B, or C) he or she prefers. a Draw a tree diagram depicting the sample space ...Suppose that A 1 , A2 , and B are events where A1 and A2 are mutually exclusive and P(A1 ) =.8 P( B A1 )= .1 P( A2 ) =.2 P( B A2 )= .3 Use this information to find P (A1 B) and P (A2 B). The oil drilling Case of 100 past sites that were drilled and produced no oil, 91 gave a low reading. Of the 400 past sites that were drilled and produced some oil, 16 gave a low reading. Of the 300 past sites that were ...Assume that for the first stock (on a particular day) P(R)= .4, P(U)= .2, P( D) =.4 and that for the second stock ( on a particular day) P(R) =.8, P(U) =.1, P(D) =.1 Assuming that these stocks move independently, find ...What is the age, gender, and ethnic composition of U. S. college students? As background for its 1995 study of college students and their risk behaviors, the Centers for Disease Control and Prevention collected selected ...Post your question