1. Suppose a life insurance company insures the lives of 5000 men aged 42. If actuarial studies show the probability that any 42-year old man will die in a given year to be 0.001, find the exact probability that the company have to pay x=4 claims during a given year. 2. A case of softdrinks has 12 bottles, three of which contain less than what is labeled per bottle or underfilled. A sample of 4 bottles is selected from the case. a. Find the probability distribution for x (number of underfilled bottles) in the sample h What are the reson and variance of

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A: Givenp=0.30sample size(n)=25Let "x" be the no.of children from a rgion is malnourished…

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A: I will use excel formula "=BINOM.DIST(x, n, p, FALSE)" to find the probability. x n p Excel…

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Q: 1. Out of 450 workers surveyed at a company, 12 walk to work. a. What is the experimental…

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Q: 2. In a factory that produces pieces of ready-made concrete, if the percentage of producing…

A: Given,n=5p=0.6q=1-p=1-0.6=0.4X=no.of defective piecesX~Binomial (n=5 , p=0.6)P(X=x)=nx px qn-x    ;…

Q: 3. In the mass production of bolts it is found that 5% are defective. Bolts are randomly selected…

A: Givenn=10p=0.05Let X=no.of defective boltsX~Binomial (n=10 , p=0.05)P(X=x)=10x 0.05x 1-0.0510-x   ;…

Q: 3. The average number of accidents per day at a major intersection in the city of Pittsburgh is 0.8.…

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Q: 4. A talk radio station has four telephone lines. If the host is unable to talk (i.e., during a…

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A: From the provided information, Mean (µ) = 245.7 Standard deviation (σ) = 34.5

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Q: 2. Suppose you obtained this data from a section of 50 students. 88 83 84 90 87 94 91 93 93 97 81 87…

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A: Given that Sample size n = 51 Population proportion p = 0.85

Q: 1. About 2.5% of Canadians have blood type AB. If 25 Canadians are selected randomly, find the…

A: Answer - 2.5%  of Canadians  have blood type AB.  i.e  P = 0.025,   n = 25                Using…

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A: We have given that  Sample size n= 400 Success of probability = 0.44

Q: Suppose that there are 600 students taking a math course in GTU. The probability of passing the…

A: Given that  n = 600 , p = 0.3 , q = 1 - p = 1 - 0.3 = 0.7

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Q: Suppose that the true proportion of households with at least one car is T = .80. If a random sample…

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Q: Which of the following techniques can be used to assess probabilities for very rare events? A.…

A: The correct option is Fault trees Reason; By using the fault tree technique, we can assess the…

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Q: 1. The data records the length of stay of engineering students in the university. We will assume a…

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Q: B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their…

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Q: Under ordinary circumstances: For all babies born in the entire global population, the proportion of…

A: Given: Sample proportion of males = p = p( male) = 0.512  n= 1000  X = total number of male births…

Q: Suppose a math class contains 42 students. There are 22 females (two of whom speak Spanish) and 20…

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A: A bag contain 5 white, 7 red, 9 black balls.

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Q: 1. Some article studied the probability of death due to burn injuries. The identified risk factors…

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Q: Life insurance. You might sell insurance to a 20-year-old friend. The probability that a man aged 20…

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