Q3: The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a mean of 0.05 failures per hour. (a) What is the probability that the instrument does not fail in a 10-hour shift? (b) What is the probability of at least one failure in a 24-hour day?

Q: he heights of 18-year-old men are normally distributed with a mean of 67 inches and a standard…

A: Given data,μ=67σ=3If n=9P(66<X<68)=?

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A:

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Q: At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of…

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A: Answer:-  Option B is correct answer.  Let, X be the random variable follows Poisson distribution.

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A: Let X = time to complete the first step, then

Q: Q3/ If the number of accidents on the highway between Baghdad and Mosul Between 9 p.m. and 10 p.m.…

A: Given: Mean number of accidents between 9pm to 10 pm λ=0.50 Let X be the number of accidents  X ~…

Q: . The number of database queries processed by a computer in any 10-second interval is a Poisson…

A: Solution-: Given : λ=5 (average)  We find, (a) P(no queries processed in a 10-second interval)=? (b)…

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A: Given Data : Average rate , λ = 2*4.2 =  8.4

Q: Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of…

A: Given Lamda =1.3/10

Q: (a) Explain why the Poisson distribution would be a good choice for the probability distribution of…

A: (a) The random variable r is defined as the number of prehistoric artifacts found in your 48 liters…

Q: 16). Let the number of cars passing through an intersection be modeled by a Poisson random variable.…

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A: Solution

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A:

Q: One percent of bits transmitted digitally are received in error. Upon the receipt of an error, bit…

A: 1% of bits transmitted are received in error. So, probability that a bit transmitted received in…

Q: probability that the 7th message is received within 20 seconds?

A: Given: X=Number of messages sentX~Poisson(λ=20)λ=20 per minute The probability density function for…

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A: Given information- We have given that 31,469 patients were admitted at a hospital in a recent year.…

Q: e number of failures for a cytogenics machine from contaminationin biological samples is a Poisson…

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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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Q: - In a study, it was found that male consumers go shopping on average 7 times a month. For the…

A: Given,λ=The average no.of times a male  consumers will shop in amonth is 7i.e λ=7X~P0isson…

Q: The number of failures for a cytogenics machine from contamination in biological samples is a…

A:

Q: For a poisson random variable (x) with a mean of 3.3; p(x>11) =?

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Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Your answer is incorrect due to the rounding of decimal places.   __________________________…

Q: Requests coming to a server with an average of 36 requests per minute are assumed to be distributed…

A: Solution : Given :  λ = 36 requests per minute Let, x : requests coming to server Here X ~ P ( λ =36…

Q: Example 7: Subway trains on a certain line run every half hour between mid-night and six in the…

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Q: An insurance company issues 1250 vision care insurance policies. The number of claims filed by a…

A: It is given that the number of claims filed by a policyholder under a vision care insurance policy…

Q: : The number of failures of a testing instrument from contamination particles on the product is a…

A: GivenNo.of failures of a teting instrument from contamination particles onthe product with a mean of…

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Q: In building materials laboratory, it has been observed that a failure proportion of concrete cubes…

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Q: Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than…

A: Given, Flying over the western states with mountainous terrain in a small aircraft is 40% riskier…

Q: Let r = number of accidents for a given number of operations. Explain why the Poisson distribution…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.