Suppose X is a random variable with mean 16 and standard deviation 4 which follows normal distribution. Find the probability that x is less than 18? Round your answer to four decimals

Q: The mean points obtained in an aptitude examination is 167points with a standard deviation of 20…

A: The provided information is  µ=167 σ=20 n=76…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Solution

Q: Suppose the mean income of firms in the industry for a year is 100 million dollars with a standard…

A: Given,mean(μ)=100Standard deviation(σ)=15

Q: there is no relationship between age and job satisfaction in hypothesis in a formula form

A: The relationship between two variable is denoted by correlation. Correlation testing is the test of…

Q: There are 4 flights from San Diego to Denver in a given day. The number of flights that will arrive…

A:

Q: World class runners complete a marathon in an average of 145 minutes with a standard deviation of 14…

A: From the provided information, Mean (µ) = 145 minutes Standard deviation (σ) = 14 minutes Let X be a…

Q: The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70…

A: The provided information are: Population mean (μ) = 70 Population standard deviation (σ) = 10…

Q: If 1 person is randomly selected from the general population, find the probability that they score…

A:

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: A population having normal distribution with mean of 50 and a standard deviation of 10. If a random…

A:

Q: Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a…

A: Given: μ=17000 hours, σ=1400 hours

Q: Assume that the height of adult females in the United States is approximately normally distributed…

A: Answer: From the given data, Mean (μ) = 66 Standard deviation(σ) = 2.4 Sample size(n) = 8

Q: Suppose the age that children learn to walk is normally distributed with mean 13 months and standard…

A: Let X be the age that children learn to walk  Population mean μ=13, Population standard deviations…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.6…

A: Mean = 11.6 Standard deviation = 2.9 Sample size = 16

Q: The temperature distribution of city C has a population mean u = 11.17. You randomly select 28 days…

A:

Q: Suppose cattle in a large herd have a mean weight of 1428lbs and a standard deviation of 119lbs .…

A: Given,

Q: Assume that the height of adult females in the United States is approximately normally distributed…

A: Answer: From the given data, mean (μ) = 66 standard deviation(σ) = 2.6 Sample size(n) =10

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A: It is given that  Mean, μ = 100 Standard deviation, σ = 15

Q: r multiple months. For this estimation, you can write down the error term of the econometric model…

A: The variables are : 1 Independent variable Rainfall 2 Dependent variable Number of car…

Q: The mean points obtained in an aptitude examination is 167 points with a standard deviation of 20…

A: Solution-: Given: μ=167,σ=20,n=76 We find, P[the mean of the sample would differ from the population…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33…

A: Answer: From the given data, The mean daily production of a herd of cows is normally distributed…

Q: Suppose the number of games in which major league baseball players play during their careers is…

A:

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.3…

A: Given that  The probability that a person exercises and eats well has a heart attack is predicted to…

Q: of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150…

A:

Q: The mean points obtained in an aptitude examination is 187 points with a standard deviation of 13…

A: Calculation:Denote μ as the true population mean of points. Hence, μ = 187.The sample is of size n =…

Q: A particular fruit's weights are normally distributed with a mean of 288 grams and a standard…

A: Solution

Q: Suppose the mean income of firms in the industry for a year is 35million dollars with a standard…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =35       standard…

Q: Suppose the mean income of firms in the industry for a year is 30 million dollars with a standard…

A:

Q: Americans receive an average of 21 Christmas cards each year. Suppose the number of Christmas cards…

A: Given,mean(μ)=21standard deviation(σ)=8

Q: Assume that IQ scores are normally distributed, with a standard deviation of 18 points and a mean of…

A:

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: According to the given information, we have Mean = 35 Standard deviation = 8 Sample size = 36

Q: The final exam scores of students taking a statistics course are normally distributed with a…

A: Given information- Population mean, µ = 72 Population standard deviation, σ = 8 Let, X be the final…

Q: A study shows that the intelligence quotient (IQ) of adults in a country follows a normal…

A:

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: Let a random variable, X~N(μ,σ2), the assumed z-score for a sample mean X¯ is, Z=X¯-μσndefined,…

Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…

A: Given that : The mean duration of a particular type of criminal trial ( µ ) = 24 days The standard…

Q: Suppose the mean income of firms in the industry for a year is 100 million dollars with a standard…

A:

Q: A random variable X is normally distributed with mean 48 and standard deviation 9. Find the…

A:

Q: Grades in an exam have a mean of 60 and a standard deviation of 10. What is the probability that the…

A: Given

Q: Assume that men's weights are normally distributed with mean 182.9 pounds and standard deviation…

A: Solution

Q: rding to National Health Survey heights of men are normally distributed with mean of μ=69.0  inches…

A: Here it is given that - Mean (μ) = 69 Standard deviation (σ) = 2.5 Let X denotes the heights of men…

Q: A particular fruit's weights are normally distributed, with a mean of 494 grams and a standard…

A: Let "M" be the mean weight of fruit.

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34…

A: Answer: From the given data, The mean daily production of a herd of cows is assumed to be normally…

Q: Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard…

A: Suppose the random variable x defines the income of firms in the industry.