Example 4.7 A piece of radioactive material emits alpha-particles according to a Poisson process with an intensity of 0.84 particle per second. A counter detects each emitted particle, independently, with probability 0.95. In a 10- second period the number of detected particles is 12. What is the probability that more than 15 particles were emitted in that period?

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Q: 9. The number of particles emitted from a source of radioactivity during a specified period is a…

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A: Given that  Average = 6 per hour.

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Q: • The probability that a certain kind of component will survive a shock test is 3/4. Find the…

A: Given, n=4 p=3/4

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Q: QUESTION 6 Let T be an exponential random variable that represent the inter arrival time of…

A:

Q: Suppose that the number of accidents occurring on a highway each day is a Poisson  random variable…

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A: Let "X" be the number of defective bulbs.

Q: Ex. 3: A radio active source emits particles at the rate of 6 per minute in a Poisson process. Each…

A:

Q: opose a computer chip manufacturer finds that 20% of the chips produced during the velopment phase…

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Q: The life of a power transmission tower is exponentially distributed, with mean life 25 years. If…

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Q: 4. A survey of consumers in a particular community showed that 10% were dissatisfied with plumbing…

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Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: in a new fiber-optic communication system, transmission errors occur at the rate of 1.5 per ten…

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Q: A radioactive source emits particles at an average rate of one every 12   seconds. Find the…

A: Given problem Given that   A radioactive source emits particles at an average rate of one every 12…

Q: 1. A shift is considered “light” if at most two patients arrive during it. What is the probability…

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Q: It is said that it usually takes three years for the accident vehicle to be repaired.What is the…

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Q: Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4…

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Q: Vodacom, uses a large number of common batteries in one of its most popular lines they found that…

A: The average time of failure is  hours.This implies:

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Q: The probability that a certain plant will survive in the month of July is 2/5, and the probability…

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Q: Ex. 2: If particles are emitted from a radio active source at the rate of 20 per hour find the…

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Q: Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage…

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Q: • Question / A small regional carrier accepted 14 reservations for a particular flight with 12…

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Q: 10. An atom of Uranium-238 is unstable and will eventually decay (i.e., emit a particle and turn…

A: Given λ = 0.000000000155 The time elapsed until it decays, in years is modeled as an exponential…