Assume the random variable x is normally distributed with mean equals=84 and standard deviation equals=4. Find the indicated probability.   ​P(x < 80​)

Q: The average yearly consumption of water per person in Lebanon is 120 liters with a standard…

A: Given data,μ=120P(X&gt;200)=0.2296σ=?

Q: The random variable x is known to be uniformly distributed between 0.5 and 2.5. What is the standard…

A: Given,A random variable X~U(a=0.5 , b=2.5)f(x)=12.5-0.5  f(x)=12   ;  0.5≤X≤2.5

Q: Assume that blood pressure readings are normally distributed with a mean of 125 and a standard…

A: Solution-: Let, X= The blood pressure reading  Given: μ=125,σ=4.9,n=34 ∴X→ N(μ=125,σ2=4.92)

Q: X is normally distributed with mean 500 and standard deviation 20

A: It is given that the X is normally distributed with mean 500 and standard deviation 20. So,…

Q: The average age of bank managers is 40 y.o. Assumes the variable is normally distributed. If the…

A:

Q: The average yearly consumption of water per person in Lebanon is 150 liters with a standard…

A: Given data: Mean (μ)  = 150 liters  Score (x) = 200 Given probability  = 0.2206 To find: Standard…

Q: Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed…

A: The mean and standard deviation are 190 and 21, respectively.

Q: The numerical population of grade point averages at a college has mean 2.61 and standard deviation…

A: Given,sample size(n)=100sample mean(μ)=2.61standard deviation(σ)=0.5

Q: if X is normally distributed withe mean 10 and standard deviation 2, what is the probability that X…

A: Given, Px,5=PX-μσ&lt;5-102=Pz&lt;-2.5=0.00621 Using Excel SyntaxNORM.S.DIST-2.5,TRUE X is normally…

Q: Assume that blood pressure readings are normally distributed with a mean of 122 and a standard…

A: The following information has been given: Let X be a random variable represents the blood pressure…

Q: Assume that blood pressure readings are normally distributed with a mean of 115 and a standard…

A: # reading of blood pressure follow normal distribution with mean 115 and sd=4.8  sample of size n=32…

Q: The average yearly consumption of water per person in Lebanon is 120 liters with a standard…

A: Given data,μ=120P(X&gt;200)=0.2296σ=?

Q: Assume the random variable x is normally distributed with mean 64 and standard deviation 5. Find the…

A:

Q: The number of people getting sick from imported meat products in a certain city in one month was…

A: Given data,μ=190σ=22P(X&gt;160)=?

Q: Suppose that y is a random variable having a normal distribution with a mean equal to 250 and a…

A: According to the provided information,

Q: The average life span of TV sets manufactured by Company X is 10.5 years. The standard deviation is…

A:

Q: If babies have birth weights that are approximately normally distributed with mean 3.3kg and a…

A: Given :  μ=3.3 kgσ=0.55 kgX~N(μ=3.3,σ2=(0.55)2)  We want to find, P(X &gt; 5) = ?

Q: The standard deviation of a normally distributed X random variable is 1.75. The probability that X…

A: As given,  The standard deviation of X is 1.75. That is, σ = 1.75 The probability that X is between…

Q: The average yearly consumption of water per person in Lebanon is 150 liters with a standard…

A: Given that mean μ = 150 , X = 200

Q: The normal random variable with mean = 0 and standard deviation = 1 is said to have the…

A: If X is random variable from standard distribution with mean(mu) = 0 and standard deviation (sigma)…

Q: X is a normally distributed random variable with a mean of 20 and a standard deviation of 4.75. The…

A:

Q: The average price of a kilogram of ham is ₱1,300. Assume that the standard deviation is ₱150. If a…

A: Given that

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

A:

Q: At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is…

A:

Q: The average cost per household of owning a brand new car is 5000. Suppose that we randomly selected…

A:

Q: Suppose x,the grade on a midterm exam,is normally distributed with mean 70 and standard deviation…

A:

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Let X: The readings at freezing on a bundle of thermometers. X is normally distributed with a mean…

Q: Assume that blood pressure readings are normally distributed with a mean of 122 and a standard…

A: Given that  Mean = μ = 122 Standard deviation = σ = 6.4 Sample size = n = 64 X ~ Normal ( μ = 122 ,…

Q: If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8,…

A: Given: µ = 75 σ = 8

Q: The standard deviation of a random variable X with a Normal distribution is 1.75. The probability…

A: It is given that, The standard deviation of X is 1.75. That is, σ = 1.75 The probability that X is…

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.…

A: It is given that, the random variable X is normally distributed with mean μ=50 and standard…

Q: The body temperatures of adults are normally distributed with a mean of 98.6°F and a standard…

A: It is given that the body temperatures of adults are normally distributed with a mean of 98.6 and a…

Q: Since the sampling distribution of X possesses a different standard deviation value from X, it…

A:

Q: Suppose that X is normally distributed with mean 75 and standard deviation 20. a) What is the…

A: Given information: X is normally distributed with, Mean μ=75 Standard deviation σ=20 Therefore,…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: The random variable X follows binomial distribution. The population mean is 105. The population…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A:

Q: Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.

A: Given, Mean=0 S.D=1 P(z&gt;0.5)=?

Q: The average yearly consumption of water per person in Lebanon is 120 liters with a standard…

A: Given data,μ=120P(X&gt;200)=0.2296σ=?

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

A: Let x denote the IQ scores which follows normal distribution with mean 100 and standard deviation…

Q: Assume that IQ are normally distributed with a mean of 100 and standard deviation of 18. For a…

A: Here, µ= 100, σ= 18. Thus, X~ N (100, 18). Sample size is 15.

Q: Consider a normally distributed random variable X with a mean of 85 and standard deviation of 10.…

A: first question is incomplete please re-submit the question with complete information.

Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…

A: The standard normal variate is calculated using the sample mean, population mean and population…

Q: Assume that blood pressure readings are normally distributed with a mean of 125 and a standard…

A: Given ,     mean (μ)=125standard deviation (σ) = 6.4sample size (n) =64

Q: A simple random sample of the age of 8 employees of a corporation is recorded. Assume that the…

A:

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

A: Given Mean=100 Standard deviations=15

Q: Let x be a random variable that represents white blood cell count per cubic millimeter of whole…

A: Comments: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: X is a normally distributed random variable with a mean of 5.00 and a standard deviation of 11.39.…

A:

Q: If X is normally distributed with mean 32 and standard deviation 4. Find the probability that xis at…

A: Given: Population mean μ=32 Population standard deviation σ=4 Let X ~ N (32, 42)

Q: 1. Assume that IQ are normally distributed with a mean of 100 and standard deviation of 15. For a…

A:

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.