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?
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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...
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 random samples are taken independently of one another and 90% confidence are calculated for each....
Two random samples are taken independently of one another and 90% confidence are calculated for each. If 10 is actually the true population mean, what is the probability that neither interval contains 10?
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...
True or False Question A boiler has 4 relief valves which operate independently. The probability that...
True or False Question A boiler has 4 relief valves which operate independently. The probability that each opens properly is 0.99. The probability that at least one opens properly is thus 1 - (0.99) True False
D. Each day (independently of all other days) Jill has a 1/5000 chance of hearing a particular fa...
Pink Panther Question
D. Each day (independently of all other days) Jill has a 1/5000 chance of hearing a particular fact: let's say the fact that Henry Mancini composed "The Pink Panther Theme." Jill stores something in long term memory after hearing it 3 times. Use Poisson approximations to (approximately) answer the following (a) What is the probability that, by the time Jill is 10,000 days old, she knows that Henry Mancini wrote "The Pink Panther Theme"? Alice reads more...
Tutoia Questions 1. Captain Kirk fires photon torpedoes, one at a time, at a Romulan ship un i is destroyed. Eac torpedo has a 10% chance of destroying the ship (independent of any other torpedoes Le...
Tutoia Questions 1. Captain Kirk fires photon torpedoes, one at a time, at a Romulan ship un i is destroyed. Eac torpedo has a 10% chance of destroying the ship (independent of any other torpedoes Let X be the number of torpedos that miss the ship. (a) What's the name for the probability distribution of X? (b) What is the probability that X 2? (c) Give an explanation for your why your answer to (bis what is. (Without referring to...
One event has chance 1/2, another has chance 1/3. Fill in the blanks, uwsing one phrase...
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In each of 4 football games, Blue has a 60% chance of winning. Assuming that the...
In each of 4 football games, Blue has a 60% chance of winning. Assuming that the football games are independent of each other, what is the probability that Blue will win at least 2 games. Please show work, thank you!
A radioactive material is emitting particles, and each particle independently has a 1/7 chance of penetrating...
A radioactive material is emitting particles, and each
particle independently has a 1/7 chance
of penetrating through a shield. What are the probabilities of
the following events?
(a) After 100 emissions of which 3 have penetrated, exactly 1
particle from a sample of 10 emissions have penetrated.
(b) The third particle that penetrates is the 100th one
emitted.
IV) A radioactive material is emitting particles, and each particle independently has a 1/7 chance of penetrating through a shield. What are...
Exercise 4 (15 points) Suppose that each of two investments has a 1.5% chance of a...
Exercise 4 (15 points) Suppose that each of two investments has a 1.5% chance of a loss of $5 million, a 4.5 % chance of a loss of 2 million, and a 94% chance ofa profit of $2 million. They are independent of each- other. a. What is the one-day VaR for one of the investments when the confidence level is 95%? 99%? (5 points) b. What is the 10-day VaR when the confidence level is 95 % ? (3...
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...
True or False Question A boiler has 4 relief valves which operate independently. The probability that each opens properly is 0.99. The probability that at least one opens properly is thus 1 - (0.99) True False
Pink Panther Question
D. Each day (independently of all other days) Jill has a 1/5000 chance of hearing a particular fact: let's say the fact that Henry Mancini composed "The Pink Panther Theme." Jill stores something in long term memory after hearing it 3 times. Use Poisson approximations to (approximately) answer the following (a) What is the probability that, by the time Jill is 10,000 days old, she knows that Henry Mancini wrote "The Pink Panther Theme"? Alice reads more...
Tutoia Questions 1. Captain Kirk fires photon torpedoes, one at a time, at a Romulan ship un i is destroyed. Eac torpedo has a 10% chance of destroying the ship (independent of any other torpedoes Let X be the number of torpedos that miss the ship. (a) What's the name for the probability distribution of X? (b) What is the probability that X 2? (c) Give an explanation for your why your answer to (bis what is. (Without referring to...
One event has chance 1/2, another has chance 1/3. Fill in the blanks, uwsing one phrase from each pair below, to make up two true sentences. Write out both sentences. If you want to find the chance that()will happen, check to see if they are (i); if so, you can (i) the chances." (i) at least one of the two events. both events (ii) independent, mutually exclusive (iii) add, multiply
A radioactive material is emitting particles, and each
particle independently has a 1/7 chance
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(a) After 100 emissions of which 3 have penetrated, exactly 1
particle from a sample of 10 emissions have penetrated.
(b) The third particle that penetrates is the 100th one
emitted.
IV) A radioactive material is emitting particles, and each particle independently has a 1/7 chance of penetrating through a shield. What are...
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