True or False Question A boiler has 4 relief valves which operate independently. The probability that...

Question

Question

Answer 1

Answer #1

FALSE

Solution : D=4 P = 0.99 The number of sullesses among a fixed number of independent trials follows a bisomial distribution. E

Answer 2

Similar Homework Help Questions

A boiler has five identical relief valves. The probability that any particular valve will open on...

A boiler has five identical relief valves. The probability that any particular valve will open on demand is .95. Assuming independent operation of the valves, calculate P(at least one valve opens) and P(at least one valve fails to open).
A boiler has 5 identical relief valves. The probability that any particular valve will open on...

A boiler has 5 identical relief valves. The probability that any particular valve will open on demand is 0.95. An operator tries to open all five valves. a.) Assuming independent operation of the valves, calculate the probability that at least one valve opens. b.) Again, assuming independent operation of the valves, calculate the probability that at least one valve fails to open. c) What is the expected number of valves that fail? d) What is the variance of the number...
Assignment 3 Independence PROBLEM 3.1 (pg 87, #78) A boiler has 5 identical relief values. The...

Assignment 3 Independence PROBLEM 3.1 (pg 87, #78) A boiler has 5 identical relief values. The probability that any particular value will open on demand is 0.7. Let A, be the event that value i opens,i 1,2,3,4,5. Thus P(A)-0.7. Due Assuming independent operation of the valves, calculate the probability that: a. Odd numbered valves open and the rest fail to open or b. atleast one valve opens AU UA, or PROBLEM 3.2 (pg 87, #80-see diagram below) Consider the system...

A boiler has three independent safety valves which open and let steam off to the atmo-sphere...

A boiler has three independent safety valves which open and let steam off to the atmo-sphere in case of a high-pressure buildup. The boiler is considered to be safe if at least two valves open in the case of a high-pressure buildup. If the probability of each valve opening in case of high-pressure buildup is 0.9, find the probability of the boiler to be the safe condition in case of a high pressure buildup
A Southwest Energy Company pipeline has 3 safety shutoff valves in case the line springs a...

A Southwest Energy Company pipeline has 3 safety shutoff valves in case the line springs a leak. These valves are designed to operate independently of one another. There is only a 7% chance that valve 1 will fail at any one time, a 10% failure chance for valve 2, and a 5% failure chance for valve 3. If there is a leak, find the following probabilities: that all 3 valves operate correctly. that all three valves fail. that at least...
Two sonar units operate independently on a submarine. Each has a 90% chance of detecting an...

Two sonar units operate independently on a submarine. Each has a 90% chance of detecting an incoming torpedo. (i) What is the probability that an incoming torpedo will be detected by at least one of the sonar units? (ii) Two torpedoes are fired at the submarine independent of each other. What is the probability that neither torpedo will be detected?

Two sonar units operate independently on a submarine. Each has a 90% chance of detecting an...

Two sonar units operate independently on a submarine. Each has a 90% chance of detecting an incoming torpedo. (i) What is the probability that an incoming torpedo will be detected by at least one of the sonar units? (ii) Two torpedoes are fired at the submarine independent of each other. What is the probability that neither torpedo will be detected?
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of ea...

A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
A true-false test has 5 questions. What is the probability of getting at least 4 wrong...

A true-false test has 5 questions. What is the probability of getting at least 4 wrong by guessing all the answers?

Question 4. Consider the electrical circuit depicted below. Current will flow from a to b if...

Question 4. Consider the electrical circuit depicted below. Current will flow from a to b if there is at least one closed path when the relays are switched to "closed". However, the relays may malfunction. Suppose the probability that the three relays depicted below close properly are: Pi = 0.9, P2 = 0.85 and P3 = 0.95, respectively. All relays operate independently of each other and are mutually independent as well. Let A denote the event that current will flow...