The annual rainfall (in inches) in a certain region is normally distributed with meanµ = 40 and variance σ^2 = 25. Find the probability that between 35 and 50 inches of rain will fall in theregion in the year 2021. Express your final answer in terms of the standard normalcumulative distribution function Φ. What is the probability that in at least 2 of the next 10 years less than 20inches of rain are recorded in the region?

Q: Suppose that the times taken for germination for cauliflower seeds are normally distributed with a…

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Q: The time of lasting of a particular brand of light bulb is normally distributed with mean 400 hours…

A: Let X denote the time of lasting of light bulb. Given that X follows N(mean = 400, SD = 20), then Z…

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Q: An airplane is only allowed a gross passenger weight of 8000 kg. If distribution of the weights of…

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Q: The weights of newborn baby boys born at a local hospital are believed to have a normal distribution…

A: Given that the mean weight is 3915 grams and a variance of 429,025. That is, μ=3915, σ2=429025

Q: The breaking strengths of cables produced by a certain manufacturer have historically had a mean of…

A: Given that: Population mean, μ=1750 Population standard deviation, σ=95 Sample size, n=11 Sample…

Q: The diameters of pencils produced by a certain machines are normally distributed with a mean of 0.30…

A: Obtain the standard z-score for the random variable X equals 0.285. The standard z-score for the…

Q: A factory produces nails, for which the length is normally distributed with the mean of 4mm and…

A: We have to find out given probability and no. Of rejected...

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given data Mean μ = 21 days Standard deviation ? = 4 days

Q: An electric firm manufactures light bulbs that have a length of life that is approximately normally…

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Q: The average yearly Medicare Hospital Insurance Benefit per person was $4064 in a recent year. If the…

A: Given: Mean of yearly Medicare Hospital Insurance Benefit per person is $4064, that is, μ=4064.…

Q: A normally distributed process has a mean of 5.3 and a standard deviation of 2.1. If there is a 0.35…

A: Given a normal distribution with mean 5.3 and standard deviation 2.1.Probability that output from…

Q: Suppose that the number of asbestos particles in a sample of 1 squared centimeter of dust is a…

A: Solution Given That , Suppose that the number of asbestos particles in a sample of 1 squared…

Q: The average running times of disks produced by Company X is 88.1 minutes and a standard deviation of…

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

Q: A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9000…

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Q: The weight of a random person is normally distributed, with a mean of 62 kg and variance of 15 kg2.…

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Q: The total energy needed during pregnancy is normally distributed, with a mean of 2600 kcal/ day and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: females have pulse rates that are normally distributed with a mean of 75.0 beats per minute and a…

A: Females have pulse rate normally distributed with mean of 75.0 beats per minute with standard…

Q: The average salary for graduates entering the actuarial field is $63000.  If the salaries are…

A: It is given that the salary for graduates follows a normal distribution with mean $63,000 and…

Q: The time taken by the truck to deliver the package is a random variable with a normal distribution…

A: Calculate the 90% confidence interval for μ

Q: It is known that the average monthly sales of marketing personnel of a company is 20000 TL and 4000…

A: Let X denote the monthly sales of marketing personnel of the company. Assume that the monthly sales…

Q: The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.03…

A: Obtain the probability that the total rainfall in Los Angels for 35 randomly selected December days…

Q: A researcher wants to prove that a brand X size AAA battery can last shorter than brand Y. Two…

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Q: find the value of x to the right of which 15% of the means computed from random samples of size 9…

A: The average life of steam multi cooker is  7 years, with a standard deviation of 1 year. Assuming…

Q: The mean serum cholesterol level of a large population of overweight children is 220 milligrams per…

A: The use of standard normal probability distribution table helps us in ascertaining the percentage of…

Q: A random sample of boots worn by 36 soldiers in a desert region showed an average life of 1.08 years…

A: Given that he following information has been provided: Hypothesized Population Mean (μ)(\mu)…

Q: esting experiment, 25 subjects are selected randomly and their reaction time, in seconds, to a…

A: As the population variance, i.e., standard deviation is known, we will use the z test.   The…

Q: The amount of time a bank teller spends with each customer is normally distributed with population…

A: Ans# - Given  X~ N( μ, σ)             Where  μ = 3.10 minutes and  σ = 0.40 minutes…

Q: The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard…

A: Given mean: μ=50 And standard deviation: σ=4 a). If the probability that Mehmet will pass from this…

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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…

A: Given that, Mean = 72 Standard deviation = 12.

Q: According to the records of the last 15 years, the average rainfall in the Marmara region in March…

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Q: he distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard…

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Q: 6. A reservoir has permeability that is lognormmally distributed with mean and standard deviation…

A: Given Reservoir permeability is log normal distributed. mean = 0.02standard deviation = 0.02Variance…

Q: The average running times of disks produced by Company A is 88.1 minutes and a standard deviation of…

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Q: Since the weight of most of the miniature poodles is normally distributed with an average of 8 kg…

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Q: Suppose that the times taken for germination for cauliflower seeds are normally distributed with a…

A: Given: Population meanμ=7

Q: Suppose that a researcher is interested in estimating the mean systolic blood pressure, u, of…

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Q: Suppose steel wires have the tensile strength represented by a normal distribution with mean value…

A: Given that the tensile strength steel wires follows normal distribution with mean 5000N and standard…

Q: The time it takes to produce a product in a factory is known To follow a normal distribution with a…

A: We have given that.   X~N( μ , ?^2 )   μ = 470 , ? = 60   Z-score =( x - μ )/?

Q: Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple…

A: (1) That is, there is no evidence to conclude that the population of volumes has a standard…

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8607g and…

A: Given that, Mean = 0.8607 Standard deviation = 0.0514

Q: The weights of newborn baby boys born at a local hospital are believed to have a normal distribution…

A: From the provided information, Mean (µ) = 3899 grams Variance (σ2) = 461041 grams Standard deviation…

Q: According to a recent poll cholesterol levels in healthy adults are normally distributed with a mean…

A: To find: The probability that the total cholesterol level in the sample of 32 adults will be less…

Q: A random sample of 10 subjects have weights with a standard deviation of 10.9654 kg what is the…

A: It is given that the standard deviation is 10.9654 kg.

Q: The mean weight of all Goliath grouper caught on the Treasure coast is 367 pounds, with a standard…

A: Given that mean =367,s.d =33,n =32

Q: The life of light bulbs is distributed normaly, The variance of the lifetime is 900 and the mean…

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Q: The breaking strengths of cables produced by a certain manufacturer have historically had a mean of…

A: Given Population mean μ=1825, population standard deviations σ=70, n=17, sample mean x̄=1844 Note:…

Q: The weight of an energy bar is approximately normally distributed with a mean of 42.90 grams with a…

A: Let Xi be the weight of ith energy bar, i=1,2,3,4. We have Xi~N(μ,σ2), i=1,2,3,4.…

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.