Let Zbe a random variable follows standard normal distribution,Z- N(0,1). Answer the following questions: P(Z

Q: Let X be a random variable that follows a standard normal distribution (mean μ=0 and standard…

A: It is given that X be a random variable that follows a standard normal distribution (mean μ = 0 and…

Q: A random variable x has a normal distribution with mean 1000 and standard deviation 100.  Which of…

A: Given that a random variable X has a normal distribution with a mean of 1000 and a standard…

Q: Suppose data X1, ..., Хп, п> 30 are sampled from the population. According to central limit theorem,…

A: We want to tell you above statement is true or false

Q: Use the Standard Normal Distribution table to find P(Z ≤ -0.69

A:

Q: Suppose X follows a standard Normal distribution, find P(X < 1) P(X = 1) %3D

A: According to empirical rule, 68.27% of data lies within one standard deviation from the mean, 95.45%…

Q: Find the probability for a normal distribution p(z>-0.60)

A:

Q: Let X be a random variable following a normal distribution with mean 14 and variance 4. Determine a…

A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…

Q: Z denote a random variable following the standard normal distribution. Pr(Z>1.5) = ?

A: Given  Z be the standard normal distribution with mean 0 and variance 1 Z~ N(0,1) We want to find…

Q: For a standard normal curve, find the probability a value has a z-score less than -2.

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

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: Find the proportion of observation from a normal distribution N(0,1) that satisfies z>-0.52.

A: Given: the proportion of observation from a normal distribution N(0,1) that satisfies z&gt;-0.52

Q: For a standard normal distribution, find: P(-1.17 <z < 2.27)

A:

Q: Let z be a random variable with a standard normal distribution. Find the indicated probability.…

A: P( - 2.18 ≤ Z ≤ - 0.46 ) = P( Z ≤ - 0.46 ) – P(Z ≤ - 2.18) = 0.322758 – 0.014629 = 0.308129 ≈ 0.3081…

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

A:

Q: Which of these statements is not a characteristic of the normal distribution curve? A The ccurve is…

A:

Q: Use the standard normal distribution to find ​P(−2.25<z<​0).

A:

Q: Z-N(0,1) or standard normal distribution . Find P(Z at least 0.68).

A:

Q: The annual rate of return on an investment each year is an independent and identically distributed…

A: Given that the annual rate of return on an investment each year is an independent and identically…

Q: Assume that the data has a normal distribution and the number of observation is greater than fifty.…

A: Significance level (alpha) = 0.09 We know that,  If x is random variable from standard normal…

Q: Find the proportion of observations from a standard normal distribution N(0,1) that satisfies…

A:

Q: Let z be a random variable with a standard normal distribution. Find the indicated probability.…

A:

Q: Z N(0,1) or standard normal distribution .: i P (Z <0.68).

A:

Q: Let z be a random variable with a standard normal distribution.  Find the indicated probability.  (…

A: According to the provided information. Z has standard normal distribution.

Q: Continuous random variable, x, comes from a normal distribution with = 2000 and 0 = 300. What value…

A:

Q: Suppose that a random variable z has a standard normal distribution. Use a standard normal table…

A:

Q: Suppose X is a random variable with standard normal distribution. And P(X>k)=0.8413 Find the value…

A: The random variable X follows standard normal distribution. It is given that, PX&gt;k=0.8413. Now,…

Q: Assume a normal distribution. What is p(z > +1 .75)?

A: Z follows standard normal distribution with mean 0 and variance 1

Q: Assume that the random variable X is normally distributed with mean μ = 120 and standard deviation o…

A: Mean==120Standard deviation==13

Q: Let X random variable distribute as normal N(-1 , 0.25) then P(z > - 2.5) equal: a. 0.9987 b. •…

A: Given data,μ=-1σ2=0.25σ=0.5P(z&gt;-2.5)=?

Q: Consider the standard normal distribution Z~N(0,1) Find the z-score for the 75th percentile

A: From the given information, It is given that the standard normal distribution Z~N(0,1), Thus,

Q: What is the standard deviation of this probability distribution

A:

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

A:

Q: For a standard normal distribution, find: P(-1.36 < z < 0.42)

A: X~N( 0 , 1 )    μ =  0   , ? = 1   Z-score =( x - μ )/?

Q: Let x be a normal random variable with its mean equal to 75 and standard deviation equal to 8. Find…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Find the Z score for which 80% of the distributions area lies between -z and z

A: Solution: From the given information, the area lies between –z and z is 0.80.

Q: Find -z and z such that 55% of the standard normal curve lies between –z and z.

A: Given data  55% of area of standard normal curve lies between -Z and Z.  we have to find value of -z…

Q: Let X be an exponential random variable with parameter λ=1/4 and from this population a random…

A:

Q: Let z be a random variable with a standard normal distribution.  Find the indicated probability. (…

A: The probability is given from z-table as: Pz&lt;1.22=0.8888

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.