Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2, find the probability that X is between 47 and 54.

Q: Given a mean of 100 and a standard deviation of​ 10, convert the random variables to​ Z-scores, then…

A:

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: what is the probability that x<70?

A: Let , X→N(μ=100 , σ=10) Our aim is to find the P(X&lt;70)

Q: Suppose X is normally distributed with mean 50 and standard deviation 4. Find the probability of P(μ…

A: Given, P(μ - 2.5σ ≤ X ≤ μ + 2.5σ)

Q: Given the following probability distribution:      X      P(X)      10    0.3      20    0.1…

A: The average of the sample is defined as the ratio of the sum of the numbers to the total number. By…

Q: If z is a standard normal variable, find the probability when z is less than 1.98

A: Given that, Z score = 1.98 Left tailed

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: Given the normally distributed random variable x with μ =25 and P(x ≤ 10) = .0778, find σ.

A: Given,mean(μ)=25P(X≤10)=0.0778

Q: Determine whether the following is a probability distribution. If not, identify the requirement that…

A:

Q: The number of cars sold per day at a local car dealership, along with its corresponding…

A: Given data is X 0 1 2 3 4 P(X) 1/10 2/10 3/10 2/10 2/10

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: Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of…

A:

Q: B. X is a normally distributed random variable with a mean of 60 and a standard deviation of 8. Find…

A:

Q: if Z is a standard normal variable, find the probability the probability that Z is less than 1.13

A: Standardized z-score: The standardized z-score represents the number of standard deviations the data…

Q: Find the mean and the standard deviation of the normallydistributed random variable X if…

A: Given: P(X≤2.2) = 0.4 Here we need to calculate the corresponding Z value  Using Excel :…

Q: Given that X is a normally distributed random variable with mean of 50 and standard deviation of 2,…

A: According to the given information, we have Mean = 50 and Standard deviation = 2

Q: If X is a normal random variable with a mean of 15 and a standard deviation of 3, then P(X=18) is…

A: Obtain probability that the X=18. The probability that the X=18 is obtained below as follows: The…

Q: The probability distribution of a discrete random variable x is shown in the following table: x 1 2…

A: E(X)=∑Xi P(X)E(X)=1×0.22+2×0.22+3×0.37+4×0.05+5×0.14E(X)=0.22+0.44+1.11+0.2+0.7E(X)=2.67

Q: Assume that x has a normal distribution, with the specified mean and standard deviation. Find the…

A:

Q: Find the mean of the following discrete probability distribution. And its what is the value of…

A: Reviewing the information Given,

Q: If X is a normally cistributed random variable with a mean of 45 and a standard deviation of 8, find…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: if Z is a standard normal variable, find the probabilitythe probability that Z is greater than -1.82

A: Conclusion: The required  probability that Z is greater than -1.82 is 0.9656.

Q: Use your Ti-84 to find the mean and standard deviation of the discrete probability distribution…

A: Use Ti-84 to find the mean and standard deviation of the distribution. 1.Open the calculator 2.…

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A: Given:  X 2 3 4 5 6 FX 0.01 0.25 0.4 0.3 0.04   Formula: Meanμ =∑X PX Variancex=∑i=1nX-μ2…

Q: Given the probability distribution of the random variable X below, compute for the variance and…

A: Given :

Q: Given a random variable X having a normal distribution with population mean=40 and standard…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Suppose X is a normal random variable, and E(X) = 2. Find the probability that X will be within 2…

A: Suppose X is a normal random variable, and E(X) = 2.

Q: If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then…

A: Given that, Mean = 10 Standard deviation = 4

Q: if Z is a standard normal variable, find the probabilitythe probability that z lies between -1.10…

A: We have given that Z is standard normal variable. We have to find probability that- P (-1.10 &lt; Z…

Q: If the mean and variance of a binomial distribution with parameters (n,p) are 40 and 30…

A:

Q: If x is a binomial random variable, compute the mean, the standard deviation, and the variance for…

A: From the provided information, a) Sample size (n) = 3 Probability (p) = 0.6

Q: If n=10 and p=0.8, then the standard deviation of the binomial distribution is

A: We have given that,  Let x be the random variable with n = 10 and P = 0.8 from the binomial…

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: Suppose that X is a normally distributed random variable with mean value 8.0 and standard deviation…

A:

Q: find the following probability. P(25<x<32)

A: Given that X follows N(mean = 25, SD = 4), then Z = (X - mean)/SD follows N(0,1)

Q: The following is a probability distribution for a discrete random variable X. 0 1 P (x) 0.2 0.8 The…

A: Given,

Q: The following is a probability distribution for a discrete random variable X. P (x) 0.4 0.6 The…

A: From the provided information, x 0 1 P(x) 0.4 0.6

Q: Based on data from 1996-2006 from the Western Regional Climate Center, the average speed of winds in…

A:

Q: Suppose that we will take a random sample of size n from a population having mean and standard…

A: Here given sample size , population mean and population standard deviation from which calculating…

Q: Find the standard deviation of the random variable X with the given probability distribution. * 1 2…

A: For the given data S.D =?

Q: Let x be a random variable that has a normal distribution with a mean of 40 and a standard deviation…

A: The probability of x less than 49 is, Thus, the probability of x less than 49 is 0.9641.

Q: Given that the random variable X is normally distributed with a mean of 80 and a standard deviation…

A: The random variable X is normally distributed with a mean of 80 and a standard deviation of 10. That…

Q: Assume the random variable x is normally distributed with mean μ=8585 and standard deviation σ=44.…

A: From the question, it is given that x is random variable that follows normal distribution with mean…

Q: If X is normally distributed random variable with a standard deviation of 35. Find the mean given…

A:

Q: Given X is a normally distributed random variable with a mean of 155 and a standard deviation of…

A:

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: For a normal distribution with a mean of µ = 500 and a standard deviation of σ = 25, find each of…

A: Given that, Mean = 500 Standard deviation = 25

Q: If n = 20 and p = 0.90, then the standard deviation of the binomial distribution is

A: Given: n= 20 p=0.90

Q: Let x be a normal random variable with its mean equal to 40 and standard deviation equal to 5. Find…

A: here given , x be a normal random variable with mean 40 and standard deviation 5, here use standard…

Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?

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.