ssume that the random variable X is normally distributed, with mean r=60   and standard deviation  a=16.Compute the probability P(X < 80).

Q: Assume that the random variable X is normally​ distributed, with mean μ=70 and standard deviation…

A:

Q: On the midnight shift, the number of patients with head trauma in an emergency room has the…

A: From the provided information, a) The mean can be calculated as:

Q: Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a…

A: Given data,Mean(μ)=1.03sd(σ)=0.02

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

A: Let Z be a random variable from standard normal distribution with mean = 0 °C and standard deviation…

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

A: Given that batch of thermometers are normally distributed with a mean of 0oc and a standard…

Q: Let X indicates the number of defective engine in a random sample of 25 engines. Probability of…

A: (a) Obtain the expected value of X.   The expected value of X is obtained below:   Let X denotes the…

Q: et  χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 4. What is the…

A: Given that X2=Z12 +Z22+.....+Zdf2 is chi-square distribution random variable Where, df=4

Q: Assume the random variable X is normally distributed with a mean of μ=62 and a standard deviation of…

A: Given that.   X~N( μ , ?^2 )   μ=62     , ?=8     Z-score =( x - μ )/?

Q: Find a value X0 of the random variable X that satisfies the following probability. P(X > X0)=0.025

A: here mean = 46 standard deviation = 5

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

A:

Q: Assume that women's heights are normally distributed with a mean given by u = 64. 1 in. , and a…

A:

Q: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard…

A: Given that the random variable of blood pressure readings is normally distributed with mean of 120…

Q: A normal distribution has a mean of u = 87 with o = 6. If one score is randomly selected from this…

A: Given:  Random variable x from normal distribution with mean mu=87 amd standard deviations=6  Then…

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

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Let Z-score are normally distributed with mean = 0 and standard deviation = 2 Then,  We will find…

Q: Let the random variable X represent the profit made on a randomly selected day by a small clothing…

A: Solution

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

A: Given data: Mean = 0 ° C Standard deviation  = 1.00 ° C i.e , X ~ N ( 0 , 1) So we can use Z score.…

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Population mean (mu) = 250Standard deviation (sigma) = 10a) show that the event y&lt; 260 has the…

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

A: we have given that  X~N(0 ,1) μ=0  ,σ=1 Z-score=( x -μ )/σ

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Given Data: Y is the random variable Mean( Y)=250 Standard Deviation (Y)=50   Y~ Normal (250, 502)

Q: (d) Compute the standard deviation of the random variable X. %3D hits

A: Let X denotes the number of hits.

Q: Assume that women's weights are normally distributed with a mean given by u = 143 lb and a standard…

A: Let X be the weight of a randomly selected women. X~N(143 lb, 292lb) (a) P(X&gt;174)…

Q: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard…

A: For an assumed sample mean,   Z=x¯-μσnx¯=sample meanμ=population meanσ=population standard…

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

A: Let X denote the readings at freezing on a batch of thermometers and it follows normal distribution…

Q: Let the random variable X represent the profit made by the new restaurant on a randomly selected…

A: Given information- Population mean, µ = $360 Population standard deviation, σ = $50 Let, X be the…

Q: Assume thoat X is a normnally distributed random variable with a mean ofu and a standard deviation…

A: Given that mean is μ. And standard deviation is: σ=0.15 PX≤2=0.0125 According to formula:…

Q: The profits of a mobile company are normally distributed with Mean of R.O (19x 10) and standard…

A:

Q: P(−2.19<Z<−0.419)=P(-2.19<Z<-0.419)=

A: Here it is given that -  Mean (μ) = 0Standard Deviation (σ) = 1 Let X be a random variable which…

Q: Let \(X) be a normally distributed random variable with a mean 550 and a standard deviation of 150.…

A: 4. The provided information is µ=550 σ=150   The z score is  z=x¯-µσz=600-550150z=0.33

Q: The random variable x represents the reaction times, in milliseconds, of girls in a driving…

A: Solution: Let X be the reaction time. From the given information, X follows normal distribution with…

Q: A random sample of 100,000 credit sales in a department store showed an average sale of $83.25. From…

A:

Q: Consider the continuous random variable x, which has a uniform distribution over the interval from…

A: Given Information: 1) Consider the continuous random variable x, which has a uniform distribution…

Q: Suppose that X, the height in m of adult male has normal distribution with mean 1.7m and standard…

A: It is given that the mean is 1.7 and the standard deviation is 0.2.

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

A:

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36…

A: Given that, Mean = 98.6 Standard deviation = 0.60 Sample size, n = 36

Q: ssume that the ramdom variable X is normally distributed, with mean 50 and standard deviation 16…

A: The following information has been provided: μ=50, σ=16\mu = 50, \text{ } \sigma = 16

Q: Compute the mean and standard deviation of the random variable with the given discrete probability…

A:

Q: Given a normally distributed random variable with a mean of 196 and a standard deviation of 20, find…

A: In this context, it is given that X follows normal distribution with a mean of 196 and a standard…

Q: Consider the probability distribution for number of children in local families. x P(x) 0 0.03 1…

A: The table shows the probability distribution for number of children in local families.

Q: 1) Assume that the heights of men are normally distributed with a mean of 69.8 inches and a standard…

A: From the given information, The heights of men are normally distributed with a mean of 69.8 inches…

Q: Assume that X has a normal distribution with mean u= 15.2 and the standard deviation is o= 0.9.,…

A: Given: μ=15.2, σ=0.9 The corresponding z-value needed to be computed are: Thus,

Q: Assume the random variable x is normally distributed with mean u=86 and standard deviation o =4.…

A: Given:  Random variable x follow normal distribution with mean=86 and standard deviations=4  then to…

Q: If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.…

A: Given: the variable Z is normally distributed with mean equal to 0 and standard deviation equal to…

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

A: Note: Please repost other question only i can author only one question as per my policy. Given…

Q: The average of the continuous random variable is normally distributed as 40, the standard deviation…

A: Given data,μ=40σ=10P(30&lt;X&lt;50)=?

Q: The distribution of life spans is approximately normal and u=40, how large a sample is required in…

A:

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

A:

Q: If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.…

A: Solution-: Let, Z- be the standard normal random variable We find, P(Z&gt;1.06 and less than 1.72)=?…

Q: or a normally distributed random variable X with mean of 177.25 and a standard deviation of 4.63…

A: It is given that the mean is 177.25 and standard deviation is 4.63.

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

A: Here, µ= 0 , σ= 1. Z follows a normal distribution.

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.