The number of daily visitors to an ice cream parlor is Poisson with a mean of 25. Using normal approximation, find the probability that at least 80 people visit the ice cream parlor in a three-day period. (Hint: The number of people who visit in a three-day period will also be Poisson. What are the mean and variance of that distribution?)

Q: Assume the room rate for a​ three-star hotel in a European city follows a normal distribution with a…

A:

Q: Suppose that, based on historical data, we believe that the annual percentage salary increases for…

A: Given Information: Mean μ= 12.2% = 0.122 Standard deviation σ = 3.6% = 0.036 Sample size (n) = 9 To…

Q: If X is a normally distributed random variable with a mean of 80 and a standard deviation of 12,…

A: Given that.   X~N( μ , ?^2 )   μ=80     , ?=12   Z-score =( x - μ )/?

Q: According the course handbook at a large university, the length of classes held on Monday (M),…

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Q: Suppose the annual consumption of chicken mean is 20.84 pounds per person, and that thestandard…

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Q: Suppose the grades in a finite mathematics class are normally distributed with a mean of 75 and a…

A: Given Data: The mean of the distribution is: μ=75 The standard deviation of the distribution is: σ=5…

Q: 2. Suppose the wait times at doctor's office are normally distributed, with mean of 30 minutes and a…

A: Let, X= wait time in office μ=mean=30 σ= sd=10

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Q: Suppose that the average cell phone bill at Bellevue University is $38.90 per month with a standard…

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Q: Suppose, according to a 1990 demographic report, the average U. S. household spends $90 per day.…

A:

Q: 1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively,…

A: Given : mean = 2.5 sample size = 16 Population standard deviation = σ = var…

Q: (a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2…

A: Giventhe number of houses sold by an estate agent with a mean of 2 per weekλ=2 per…

Q: Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random…

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Q: 3. The average cholesterol content of a certain canned goods is 215 milligrams, and the standard…

A: Given that  X~N(μ= 215 , σ= 15 ) μ= 215 , σ= 15 , n= 25

Q: Suppose that the annual household income in a small Midwestern community is normally distributed…

A: Given : X ~ Nμ, σ mean, μ = $55000 S.D, σ = 4500 a. P(household will have an income between $50000…

Q: Suppose male heights follow a normal distribution with μ = 178.4 cm and σ = 7.6 cm. What is the…

A: It is given that the male heights follow normal distribution with mean 178.4 cm and standard…

Q: The mean monthly maximum temperatures for January in Canberra can be modelled by a Normal…

A: We have to find given probability..

Q: 1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively,…

A: 1. Given: Hypothesis: The null and alternative hypotheses is given below:

Q: The number of 911 calls in Butte, Montana has a Poisson distribution with a mean of ten (10) calls a…

A: Obtain the probability of seven (7) or eight (8) 911 calls in one (1) day. The probability of seven…

Q: A quality control company was hired to study the length of meter sticks produced by a certain…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Given:…

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Q: 2. The number of hours spent playing video games a week by the residents of Minneapolis has a mean…

A: Answer -  Given mean μ = 10 hours   and Standard deviation σ = 13 hours                  Sample size…

Q: Suppose that the caffeine in one tablespoon of Folgers is normally distributed with a mean of 45 mg…

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Q: For a Poisson distribution of anomalies with mean = 4, what is the probability that the number of…

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Q: The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries…

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Q: The shape of the distribution of the time required to get an oil change at a 15 minute oil change…

A: Here we have μ = 16.2 min and Std (s) = 3.7min

Q: An insurance risk manager has observed that the most common insurance product purchased by business…

A: Given Information:  Mean value = 32.2 m Standard deviation = 0.3 m

Q: Suppose you manage the demand for a towing company in Little Rock which follows a poisson process.…

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Q: 1.) The average repair cost of a microwave oven is $55, with a standard deviation of $8. The costs…

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Q: Suppose the area that can be painted using a single can of spray paint is slightly variable and…

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Q: he number of times a customer uses an atm has an unknown distribution with mean = 7 and variance =…

A: The probability of observing a sample mean between 6.4 and 6.8 = 0.2184

Q: Calculate the probability that the next house in Livingstone will sell for more than k206,000.  (ii)…

A: Let X denote the selling prices of various houses. Given that X follows N(mean = 276000, SD =…

Q: he agency for healthcare research and quality reported that 53% of people who had coronary bypass…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: Suppose that the starting salaries of MBAS at Wilfrid Laurier University (WLU) are normally…

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Q: (b) The blood pressure reading for people aged 80 years old that are having high blood pressure is…

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Q: Assume the number of physical damage losses for houses as a result of hurricane Irma in Barbuda is…

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Q: A personal trainer states that the distribution of running times (in seconds) for a 100-meter dash…

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Q: If the mean of the random variable with Poisson distribution is 4, which of the following is its…

A: Solution: Let X be the Poisson random variable with mean λ=4 X~P(λ=4) The formula for Poisson…

Q: 3. Suppose that the IQ scores of Grade 11 students of OSFI is normally distributed with a mean of…

A:

Q: Suppose that the number of gallons of milk sold per day at a local supermarket are normally…

A: Let X denote the number of gallons of milk sold per day. X ~ N(424.7,460.9609)

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A: A politician takes an SRS of 75 citizens in a county to see what proportion of with their standard…

Q: For a Poisson distribution of drivers with mean = 20, what is the probability that the number of…

A: Given that the mean =μ= λ=20So, the standard deviation=σ=λ=20We have to find P(μ-2σ≤X≤μ+2σ)

Q: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: Given that X follows a normal distribution with mean=200 and variance= 625 So standard…

Q: cian claims that the mean winning times for Boston Marathon women’s open division champions is at…

A: As the population standard deviation is known, we will use z distribution. The following null and…

Q: Suppose that the time spent online to do homework by a randomly selected student has a gamma…

A:

Q: Suppose the area that can be painted using a single can of spray paint is slightly variable and…

A: It is given that the area that can be painted using a single can of spray paint has a normal…

Q: Suppose that IQ scores of Grade 11 students of Abuyog Academy is normally distributed with a mean of…

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Q: The number of goals scored at State College hockey games follows a Poisson distribution with a mean…

A: It is given that, The number of goals follows a Poisson distribution with a mean of 3 goals per…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.