The annual rainfall in Toronto is approximately a normal random variable with mean 39.8 inches and standard deviation 8.2 inches. What is the probability that the yearly rainfalls in exactly 6 of the next 7 years will exceed 38 inches?

Q: In the second quarter of 2015, the average movie ticket cost $8.61. In a random sample of 50 movie…

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Q: In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25.…

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Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010…

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Q: In 2002, the average height of a woman aged 20–74 years was 64 inches. Suppose the height of a woman…

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Q: The annual rainfall amount in Izmir is approximately normally distributed with mean 102.108 cm and…

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Q: On a highway, the Average Waiting time for a cop for stopping a car is 10 min. The waiting time T is…

A: The waiting time is independently distributed exponential random variable with mean waiting time 10…

Q: A hybrid cars battery company produces batteries with mean life 100,000 Kilometers and standard…

A: Given : A hybrid cars battery company produces batteries with mean life 100,000 km and S.D 5000 km…

Q: If the mean height of a population of students is 68 inches with standard deviation 3 inches, what…

A: Given that      The mean height of a population of students is 68 inches with standard deviation 3…

Q: The average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but…

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

Q: According to the study, the average number of hours that the student spent studying per week in the…

A: From the provided information, Mean (µ) = 56 hours Standard deviation (σ) = 14 hours X~N (56, 14)

Q: Thwhe average arm height of jaguars is 16 inches, with a standard deviation of 2 inches. out of a…

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Q: Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard…

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Q: Cititon Forest contains a population of 326 chupacabra, whose masses have a mean of 30.2 kg and a…

A: Given that ; N = 326 u = 30.2 kg n = 70 kg ? = 7.4 kg By using standard normal distribution we solve…

Q: According to the Bureau of Labor Statistics, the average number of weeks an individual is unemployed…

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: Household incomes in the city of Tampa Bay  are right-skewed with an average of 50,270 and standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: average salary for a large company is $85,000 with a

A: Given Data Population Mean,μ = 85000.0 Population Standard Deviation,σ = 20000.0…

Q: A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12…

A: Suppose a random sample of sufficiently large sample size drawn from a population whose mean is µ…

Q: Water use per person is reported as 70 gallons per week, with a standard deviation of 10 gallons If…

A: Given that, μ=70,σ=10,n=25 (a) The probability of their sample mean being greater than 75 gallons…

Q: Recall that the foot length of a randomly chosen adult male is a normal random variable with mean…

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Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

Q: Suppose in a certain primary school, the weight of boys are normally distributed with mean 28kg and…

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Q: The average public elementary school has 468 students with a standard deviation of 87. If a random…

A: Given: Mean=μ=468 Standard deviation=σ=87

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

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Q: A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a…

A: 1.Let X be the weight of adults. X follows normal distribution that has mean µ = 140 and the…

Q: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A contractor claims that the cost of building a farm house is a normally distributed random variable…

A: It is given the mean and standard deviation are $500,000 and $50,000, respectively.

Q: The life of a certain type of automobile tire is normally distributed with mean 34,000 miles and…

A: We have to find given probability..

Q: For a normal random variable with mean 650 and standard deviation 40, find the probability that its…

A: Given information- Population mean, μ = 650 Population standard deviation, σ = 40 Let X be the…

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: Given that, μ=2.63,σ=0.03,n=9 The mean of sampling distribution of sample mean is, (a) The standard…

Q: The average age of accountants is 43 years, with a standard deviation of 5 years. If an accounting…

A: From the given information,   Mean = 43 Standard deviation = 5 Sample size = 30

Q: Find the probability that an observation taken from a standard normal population will be more than…

A: We have to find given probability..

Q: Aaliyah is 74 years old. Based on a normal distribution with mean 47.8 years and standard deviation…

A: Formula : Z =(X - μ)/σ

Q: Suppose the mean weight of school children's book bags is 17.5 pounds, with standard deviation 2.2…

A: Given problem Given that   The mean weight of school children's book bags = μ = 17.5 pounds…

Q: A company produces lightbulbs whose life follows a normal distribution, with a mean of 1,200 hours…

A: Given: A company produces lightbulbs whose life follows a normal distribution, with a mean of 1,200…

Q: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 360…

A: Given info: The weight of a small Starbucks coffee is a normally distributed random variable with a…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: Suppose the temperature during the month of June is normally distributed with mean 68 degrees…

A: Answer: - Suppose the temperature during the month of June is normally distributed with…

Q: The daily withdrawals from an ATM located at a service station is normally distributed with a mean…

A: Given information: μ=5000, σ=800 x=6400 Use the formula for the normal distribution to determine the…

Q: The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A: Given data,μ=21σ=10P(15<X<25)=?

Q: The number of tickets purchased by an individual for Beckham College's holiday music festival is a…

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Q: When a normal random variable Y is transformed to a standard normal random variable Z, the mean…

A: When a normal random variable Y is transformed to a standard normal random variable Z, the mean…

Q: Suppose that the mean daily viewing time of television is 8.35 hours per household. Use a normal…

A: a. Given that the mean daily viewing time of television is 8.35 hours and standard deviation of 2.5…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=28 minutes and a…

Q: For a normally distributed random variable with mean 44 and standard deviation 16, find the…

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Q: The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

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Q: The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A: Given Mean=19 Standard deviations=7

Q: If a continous random variable, x, is normally distributed with a mean of 100 and a standard…

A: Given : X is normally distributed with a mean of 100 and a standard deviation of 15.

Q: A city temperature is modeled as a normal random variable with mean and standard deviation both…

A: given data,  Mean (μ) = 10  S.D(σ) =10Let X be normally distributed random variable P(X≤15) = ?

Q: According to a certain website, the average daily time spent on social networking by internet users…

A: The random variable daily time spent on social networking follows normal distribution. The…