Mimosa pudica or “makahiya" leaves droop and fold inward to defend itself from predators. It is known that the time to go return to its natural form follows the exponential distribution with a mean of 9 minutes. Determine the failure rate.

Q: A biologist models the time in minutes until a bee arrives at a flowering plant with an exponential…

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Q: Describe the statistical techniques of Moving Averages and Exponential Smoothing?

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Q: a) Is the data for Facebook time series or cross-sectional? b) Comment on the trend between age and…

A: Provided information is,  Bar graph of social media users according to age group is given. a) Time…

Q: The magnitudes of earthquakes recorded in a region of North America can be modeled by an exponential…

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Q: The effects of a weight loss drug are standard normally distributed where negative data values…

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Q: The average retirement age in America is 65 years old. Do small business owners retire at an older…

A: c For the given sample values, x¯=68.0625, from the excel function, =AVERAGE(F1:F16)s=5.9830, from…

Q: Why is normal distribution important in statistics and in everyday life?

A: Normal Distribution is important in statistics because many natural phenomena follows Normal…

Q: Explain how the probability of extinction and the mean population size of a species after a…

A: the Colonization and extinction probabilities  were defined in terms of the habitat state at both…

Q: In a study about the life expectancy of 200 thirty-year old males, the mean is 65 and the standard…

A: Sample size(n)=200 Mean(μ)=65 Standard deviation(σ)=10  The proportion of the males who live past 75…

Q: The life time of an electrical part follows an exponential distribution with mean of 5 years.…

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Q: The magnitudes of earthquakes recorded in region of North America can be modeled by an exponential…

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Q: The manager of a supermarket tracked the amount of time needed for customers to be served by the…

A: Let X be the random variable representing the checkout time. Here, X ~ Exponential( with mean of 5…

Q: Consider that the life time of a particular brand of laptop battery follows exponential distribution…

A: Given: The mean value of battery is, μ=10 years. The age of battery is, n=7 years. The objective…

Q: The length of time a particular smartphone's battery lasts follows an exponential distribution with…

A: We know that the  The Sum of exponential variate is defined as Gamma variate i.e. if X1, X2,...,Xn…

Q: Explain in general terms the relationship that exists between the Poisson and exponential…

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Q: Based on historical data, on average, Florida experiences one flooding event every 2.4 months.…

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Q: What is the purpose behind plotting measured precipitation data on a log-normal probability paper…

A: Precipitation data             Precipitation data is used to fit on the Statistical…

Q: What is the expected average increase in charitable donations given a ten thousand dollar increase…

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Q: What does it mean when the difference is statistically significant?

A: STATISTICALLY SIGNIFICANT MEANS NULL HYPOTHESIIS IS REJECYED.

Q: The distance between major cracks in a highway follows an exponential distribution with a mean of 15…

A: In this question, it has been given that major cracks in a highway follows an exponential…

Q: The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of…

A: Given : The time it takes a mechanic to change the oil in a car is exponentially distributed with a…

Q: The length of time a person shops for groceries can be modeled by an exponential distribution with…

A: Given, Let X be the length of time. X is exponentially distributed Average= 27 mins

Q: What is meant by the grand mean?

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Q: The length of time a person shops for groceries can be modeled by an exponential distribution with…

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Q: The failure rate of an electronic system is 0.005 failures per hour and its time to failure can be…

A: Given that the failure rate of an electronic system is 0.005 failures per hour. It is also given…

Q: Based on historical data, on average, Hoboken experiences one flooding event every 2.4 month. Assume…

A: Consider a random variable X which follow exponential distribution and it represents the time…

Q: The magnitudes of earthquakes recorded in a region of North America can be modeled by an exponential…

A:

Q: Is this a binomial distribution? Explain.

A: Here use basic rule of binomial

Q: Based on historical data, on average, Hoboken experiences one flooding event every 2.4 month. Assume…

A: It can be assumed that the time between flooding events can be modelled using an exponential…

Q: Research has shown that IQ scores form a normal distribution with a H = 100 and o = 15. We also know…

A: Given Information: Mean, μ=100 Standard Deviation, σ=15

Q: I purchased the fastest internet speed I could. The local company promised me 1.0 Gbps speed on…

A: Given H0: λ = 1.0 Gbps, vs, H1: λ < 1.0 Gbps.

Q: What is the best point estimate for the mean age at first birth in the population?

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Q: How to find Cumulative frequency distribution?

A: A cumulative frequency distribution is the sum of the class and all classes below it in a frequency…

Q: Describe the key characteristics of hyper exponential distribution?

A: The hypeexponential distribution is an example of phase-type distribution where n phases are in…

Q: The manager of a supermarket tracked the amount of time needed for customers to be served by the…

A: From the provided information, The checkout times are exponentially distributed with a mean of 5…

Q: Along with interest rates, life expectancy is a component in pricing financial annuities. Suppose…

A: given randomly sample n=20  that last year average life expectancy was 77 years for your annuity…

Q: If a number is added to a dataset that is far away from the mean, how does this affect standard…

A: Standard deviation: The sample standard deviation is defined as how much each observation in the…

Q: The handle time of all calls in a call center is log-normally distributed. What can we say about the…

A: The mean median and mode of a log normal disribution is known as- Mean=eμ+12σ2Median=eμMode=eμ-σ2

Q: What is the predicted value for the final grade when a student spends an average of 11 hours each…

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Q: What happens to the graph of the normal curve as the mean increases?

A: The graph of the normal curve as the mean increases.

Q: a) Briefly explain the Normal Distribution, its derivation and use.

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

Q: The time to failure of a component in an electronic device has an exponential distribution with a…

A: Given :  Median = 4

Q: The mean is the 50th percentile of any normal distribution.  True  False

A: The mean is the 50th percentile of any normal distribution.

Q: The time until failure of an electronic component has an exponential distribution and it is known…

A: Exponential distribution: A continuous random variable X is said to follow exponential distribution…

Q: Consider that the lifetime of a particular brand of laptop battery follows an exponential…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: Explain the cumulative distribution function.

A: To: Explain the cumulative distribution function.

Q: The manager of a supermarket tracked the amount of time needed for customers to be served by the…

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Q: Derive the mean and variance of normal distribution. Show your complete solutions.

A: Solution:- Mean of normal distribution The Gaussian pdf is defined as fX(x)=1σ2πexp-(x-μ)22σ2 where…