Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=5. Find the indicated probability.   ​P(x<85​)

Q: Assume the random variable x is normally distributed with mean u= 82 and standard deviation a =5.…

A: From the provided information, Mean (µ) = 82 Standard deviation (σ) = 5 X~N (82, 5)

Q: Assume the random variable x is normally distributed with mean u = 84 and standard deviation o = 5.…

A: Given that, Mean = 84 Standard deviation = 5

Q: Assume the random variable x is normally distributed with mean μ=89 and standard deviation σ=5.…

A: Given X is normal Distributed with mean µ = 89.0 and standard deviation σ = 5.0 now will using…

Q: Assume the random variable x is normally distributed with mean u = 87 and standard deviation o = 5.…

A: Consider a random varaible "X".

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

A: Suppose the variable of interest is X.

Q: Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 5.…

A:

Q: The 7th percentile is

A: Here given , mean =  42 standard deviation =  6 X follow normal distribution with parameter mean =…

Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation a=4.…

A: The random variable x is normally distributed.  Mean = μ = 85 Standard deviation = σ = 4

Q: Assume the random variable x is normally distributed with mean μ=86 and standard deviation σ=5. Find…

A:

Q: Assume that the random variable. Is normally distributed, with mean r= 100 and standard deviation a=…

A: Given μ=100σ=15 Z statistic is- Z=X-μσ

Q: Find the value of the standard normal random variable given P(z > #) = 0.2073. (Use a table or…

A: The given random variable is a standard normal random variable. The objective is to find out the…

Q: Assume the random variable x is normally distributed with mean u= 80 and standard deviation o = 5.…

A:

Q: Assume the random variable x is normally distributed with mean µ= 90 and standard deviation o = 5.…

A: Let X is normally distributed with, Mean = 90 Standard deviation = 5

Q: Assume the random variable x is normally distributed with mean μ=82 and standard deviation σ=5. Find…

A:

Q: Assume that​ women's heights are normally distributed with a mean given by μ=63.2 in​ches and a…

A: GivenMean(μ)=63.2standard deviation(σ)=2.5

Q: Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 4.…

A: Obtain the standard z-score for the random variable X equals 74. The standard z-score for the random…

Q: Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=4. Find…

A: Given information Mean = mu = 88 and  Standard deviation = σ = 4  Z score formula = (x - mu)/σ

Q: Assume the random variable x is normally distributed with mean μ = 80 and standard deviation o=4.…

A: Given that  Mean = 80 , Standard deviation = 4

Q: Assume the random variable x is normally distributed with mean u= 89 and standard deviation o = 5.…

A: Given: Mean,μ=89Std deviation,σ=5

Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation o=5.…

A: The population mean is 85 and the population standard deviation is .

Q: X is a normally distributed random variable with mean −25 and standard deviation 4. Find the…

A:

Q: Assume the random variable x is normally distributed with mean μ = 80 and standard deviation o=4.…

A: givendata normal distributionμ = 80σ = 4P(68&lt;x&lt;77) = ?

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

A: Suppose the variable of interest is X.

Q: The average time taken to run 10km, X, follows a normal distribution with μ = 60 minutes and σ = 15…

A:

Q: P(65<x<74) P(65<x<74)= (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=80     , ?=5Z-score =( x - μ )/?

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

A: Z is known as standard normal variable and it's value is obtained using standard Normal table

Q: Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 4.…

A:

Q: Assume the random variable x is normally distributed with mean = 90 and standard deviation a=5. Find…

A: The following information has been given: μ=90σ=5 We need to compute Px&lt;83.

Q: The heights (X) of students are normally distributed with mean 156 cm and standard deviation 28 cm.…

A: Answer: From the given data, Student's heights (X) are normally distributed with mean (μ) = 156 cm…

Q: Assume the random variable x is normally distributed with meanu=81 and standard deviation o = 4.…

A:

Q: Assume the random variable x is normally distributed with mean u = 50 and standard deviation o = 7.…

A:

Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=5. Find…

A: Given X is normal Distributed with mean µ = 85.0 and standard deviation σ = 5.0 now will using…

Q: Assume the random variable x is normally distributed with mean = 50 and standard deviation o=7. Find…

A: Given:

Q: Let X be standard normal random variable. Let Y = IXI. What is the median of Y? What is P(1 <Y < 2)?…

A: Solution-:Let, X be the standard normal random variable.Let, Y=|Y|We want to find,(a) The median of…

Q: Assume that x has a normal distribution with mean =4 and standard deviation q=2. Find (3<x<6)

A: Given   x has a normal distribution  mean μ=4  standard deviation σ=2 Find p(3&lt;x&lt;6)=?

Q: Assume the random variable x is normally distributed with mean u = 90 and standard deviation o = 4.…

A: Given that  Let X denotes random variable having distribution Normal with mean =90 and standard…

Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=4. Find…

A: Answer:- Assume the random variable x is normally distributed with mean μ=85 and standard deviation…

Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation o=4.…

A: The mean is  and standard deviation is .

Q: Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 5.…

A: Given: μ=85σ=5 The z-score is given by, z=X-μσ

Q: Assume the random variable x is normally distributed with mean p = 81 and standard deviation o = 5.…

A: Given  X ~ N(μ=81,σ2=25)σ=5

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.