Question

In: Statistics and Probability

the probability that an engine will not start is .04. a rocket has four independent engines....

the probability that an engine will not start is .04. a rocket has four independent engines.

what is the probability that at least one of the engines does not start?

Solutions

Expert Solution

Given,

Probability engine does not start = 0.04

Probability engine start=1-0.04=0.96

Probability all engine starts = 0.96*0.96*0.96*0.96 =0.8493

Probability that at least one engine does not start = 1- Probability all engine starts

=1- 0.8493 = 0.1507

This gives the probability of at least one engine does not start.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A rocket has a mass of 1.40×04 kg and its engine has a thrust of 200×105...
A rocket has a mass of 1.40×04 kg and its engine has a thrust of 200×105 N. If its engines fire in the vertical direction for 1 min starting from rest, to what vertical height would it rise in the absence of air resistance? (To simplify things, assume the mass is constant. However, in reality the mass of rockets decreases substantially while rising)
1.An airoplane with four engines is able to fly if at least one engine is functioning...
1.An airoplane with four engines is able to fly if at least one engine is functioning on each wing. Let Ai be the event that the ith engine is working, i = 1, 2, 3, 4, where engines 1 and 2 are on the left wing and engines 3 and 4 are on the right wing. Let A be the event that the airoplane is able to fly. Express A in terms of A1, . . . , A4, using...
An engineer is investigating engine life for a new oil compound. He has built 12 engines...
An engineer is investigating engine life for a new oil compound. He has built 12 engines and tested them to end of life in a test. The sample mean was 63,000km. He has enough data to show that the populations standard deviation is equal to 3150km. He is stesting H0: mu = 62000km against H1: mu does not = 62000km, and using P(Type 1 error) = .05. If the true population mean tire life is 61000km what is the P(type...
Lakeview Engine, Inc., produces engines for the watercraft industry. An outside manufacturer has offered to supply...
Lakeview Engine, Inc., produces engines for the watercraft industry. An outside manufacturer has offered to supply several component parts used in the engine assemblies, which are currently being produced by Lakeview. The supplier will charge Lakeview $320 per engine for the set of parts. Lakeview’s current costs for those part sets are direct materials, $160; direct labor, $75; and manufacturing overhead applied at 100% of direct labor. Variable manufacturing overhead is considered to be 20% of the total, and fixed...
6.5 An engine manufacturer has decided to change one of its engines from a spark ignition...
6.5 An engine manufacturer has decided to change one of its engines from a spark ignition type to a compression ignition type. If the swept volume is unchanged, what effect will the change have on: (i) maximum torque? (ii) maximum power? (iii) the speed at which maximum power occurs? (iv) economy of operation?
Lakeview Engine, Inc., produces engines for the watercraft industry. An outside manufacturer has offered to supply...
Lakeview Engine, Inc., produces engines for the watercraft industry. An outside manufacturer has offered to supply several component parts used in the engine assemblies, which are currently being produced by Lakeview. The supplier will charge Lakeview $290 per engine for the set of parts. Lakeview’s current costs for those part sets are direct materials, $165; direct labor, $75; and manufacturing overhead applied at 100% of direct labor. Variable manufacturing overhead is considered to be 20% of the total, and fixed...
Question 3: Independent or not? For the following four joint probability distributions of X and Y...
Question 3: Independent or not? For the following four joint probability distributions of X and Y , either prove or disprove that X and Y are independent. 1. fXY (x, y) = λ 2 e −λ(x+y) , x, y ≥ 0. 2. fXY (x, y) = 6 5 x + y 2 , 0 ≤ x, y ≤ 1. 3. fXY (x, y) = 1 9 xy, 0 ≤ x ≤ 3, and 0 ≤ y ≤ 2. 4. fXY...
A reputable engine company has been making carbureted spark-ignition engines that operate with an equivalence ratio...
A reputable engine company has been making carbureted spark-ignition engines that operate with an equivalence ratio = 1.0 and a compression ratio of 9:1 for years. In order to control emissions, the engines operate with 20% exhaust gas recirculation (EGR) and a three-way catalytic converter. Since the company’s market share is steadily dropping, they consider hiring a MEC graduate to rescue them. The ambitious young engineer proposes a port fuel-injected (PFI) design, which operates lean at 0.7 with a high...
A CI engine operating on the air standard diesel cycle has cylinder condtioons at the start...
A CI engine operating on the air standard diesel cycle has cylinder condtioons at the start of compression of 65 degrees C and 130 kPa. light diesel fuel is used at an equivalence ratio of 0.8 with a combustion efficiency of 0.98. compression ratio = 18 Calculate: temperature and pressure in each state of the cycle (0c) pressure at each state of the cycle (kpa) cutoff ratio indicated thermal efficiency (%) heat lost in exhaust (KJ/Kg)
A mechanic is trying to tune the engines in a twin engine plane much like a...
A mechanic is trying to tune the engines in a twin engine plane much like a string instrument can be tuned by listening to the beat frequency when two notes are played simultaneously. The mechanic has one engine running perfectly at a desired 4500 rpm and is trying to adjust the other to the same speed. He slowly detunes the second engine from a larger rpm until he first discerns a beat frequency amplitude that occurs once every 12 s....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT