In a study of the effectiveness of an insecticide against a certain insect, a large area of land was sprayed. Later the area was examined for live insects by randomly selecting squares and counting the number of live insects per square. Past experience has shown the average number of live insects per square after spraying to be 0.5. If the number of live insects per square follows a Poisson distribution, find the probability that a selected square will contain; Exactly one live insect  No live insect  Exactly four live insects  One or more live insects                                                          Fewer than four live insects

Q: The table below contains the average rainfall in Charlotte, NC, for a 10-year period as reported by…

A: In this context, the 5-number summary is obtained using T1-84 graphing calculator. The quartiles of…

Q: Suppose 34% of cubes processed by a machine have side lengths less than 100mm. A random sample of 60…

A: Solution: From the given information, the probability of a cube processed by a machine has side…

Q: A certain type of missile hits its target with a probability of 0.3. How many missiles should be…

A:

Q: It has been shown by claims that have been made that 20% of parcels arrive damaged when using an…

A:

Q: The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway…

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A: The mean is 2 hours and the standard deviation is 0.20 hours.

Q: What is the probability that a particle will be in the dominant configuration? Total microstate is…

A: Given: x=13n=5005

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A:

Q: An unbalance coin is tossed independently many times. The probability to obtain a Head is 0.3. Find…

A: We want to find mean and variance

Q: in a college, 15% of the students participate in social activities at least twice a  month. A…

A:

Q: en the current Center of Disease Analytics statistics, the probability of having the flu in our area…

A: event A= having flup(having the flu in our area)=0.10p(A)=0.10P(A')=1-0.10=0.90event B=report…

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A: Let us suppose the success probability is given as 0.65 Success in this problem is connecting a long…

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Q: In a region the energy consumption for a family per month averages 1145 kWh and one standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with…

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A:

Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If 12% of the…

A:

Q: A 10-year study conducted by the American Heart Association provided data on how age, blood…

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Q: The chances of an error occurring in any single line of code is found to be 0.001 (0.1%). If a…

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A:

Q: Given that the mean weight of schoolchildren's book bags is 17.5 pounds, with a standard variation…

A: We have given that Population mean = 17.5 Standard deviation = 2.2 Sample size n =30

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A: The sample of the number of students is n=10. The probability of 25 students are athlete,…

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A: Let us define the random variable X as the number of defective parts produced follows Poisson…

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A:

Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

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Q: The probability of loosing a game was estimated as  0.6 . What is the probability to win this game?

A:

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A: Given that the experimental probability is = 25%   The die is 20 sided. So the theoretical…

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A:

Q: The lifetime of an electronic device is modeled as an exponential random variable. If 16% of the…

A:

Q: In a factory that produces blocks of ready- made concrete, if the percentage of production of…

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A:

Q: Suppose that asthma affects 1 in 20 children in a population. You take an SRS of 50 children from…

A: It is given that asthma effects 1 in 20 children in a population. Let the random variable X denotes…

Q: For each situation given below, do the following: A) Decide if the random variable is Poisson (or…

A: The probability mass function of the Poisson distribution is given as follows:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.