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# (SINGAPORE-JC 2010) - Question Medium of Math

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Source: SINGAPORE-JC
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Question 1:

Medium

A car factory produces cars in two colors: blue and red. The probability of a car coming off the production line in red is 35%. If a sample of 6 cars is randomly selected, what is the probability that exactly 3 cars are red?
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Question 2:

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In a car parts production factory, a machine is programmed to produce screws. The probability of a screw being defective is 0.02. On a normal workday, the machine produces 1000 screws. What is the probability that, in a workday, the machine produces exactly 30 defective screws?
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Question 3:

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A person bought a car for cash, obtaining a 10% discount. He paid with 37,620 fifty-cent coins. The price of the car, without the discount, was:
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Question 4:

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Imagine that you are an engineer designing a Ferris wheel. The Ferris wheel completes one revolution every 15 seconds. If we model the motion of the Ferris wheel as a sinusoidal function, where the angle (θ) is measured in radians and the time (t) is measured in seconds, the height (h) of the cabin of the Ferris wheel relative to the ground can be modeled by the function h(t) = 20 + 10sin(θ). Therefore, during which time intervals will the cabin be at least 25 meters above the ground?
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