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

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

A: The probability that the speed of a car is at most 29 mph is 0.727, which is obtained below:…

Q: Find the probability that the average effective time of the pain relief drug for a sample of 25…

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

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…

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

A: Given that  X~U(a,b) a=13 , b=35

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…

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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…

Q: A jar contains green wrapped candies and yellow wrapped candies.  A person selects two wrapped…

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

A: The independent variables are Age, Blood pressure and Smoker. The dependent variable is Risk. We…

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

A: Giventhe no. of error occuring in any single line of code is 0.001The no. of error for 500 lines is…

Q: A study showed that ​69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

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Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If12% of the…

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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?

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Q: Suppose a biologist is interested in monitoring the number of oak trees with oak wilt per acre. The…

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

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Q: university study involves a simple random sample of 26 students taken from a population of​ 12,550.…

A: Given that Simple random sample size (n) = 26 Population size  = 12,550 Undergraduate students make…

Q: Suppose that asthma affects 1 in 20 children in a population. We decide to redo the survey and now…

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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.