Siven a normal distribution with mean of 80 and variance of 100, the probability that ssumes a value less than 80 is 0.5000.

Q: A vertical line is drawn through a normal distribution at z = -1.20. What proportion of the…

A: Given - z = -1.20 Graph will look like and need to the shaded region -

Q: For a standard normal distribution, find the probability that a value is greater than 1.56 standard…

A: Let Z is a standard normal distribution.  So the standard deviation here is 1 and the mean is 0.…

Q: For a standard normal distribution, find: P(z < -0.42) For this and future problems, keep 4…

A: X follows standard normal distribution with mean zero and variance 1 Find P(z&lt;-0.42)

Q: For a standard normal distribution, find: P(z > -0.59) Express the probability as a decimal rounded…

A: Given data  Standard normal distribution P(z&gt;-0.59)=?

Q: Given a normal distribution with mean of 67 and standard deviation of 5, the probability that X…

A: We have given that,  X be the random variable from normal distribution ,  Then, We have to check…

Q: standard normal distribution, find: P(z > -0.33) Express the probability as a decimal

A: The standard normal curve is the probability distribution curve of the normal random variable with…

Q: Identify if its true or false  For any normal distribution, the area above the mean is 0.5 or 50%

A:

Q: For a standard normal distribution, find: P(z < 2.77) Express the probability as a decimal rounded…

A: According to the given information in this question We need to find the area by the table of z

Q: Find the probability of a value in the standard normal distribution being greater than −0.35.

A: Draw the normal curve and shade the area to the right of z=-0.35.

Q: For a standard normal distribution, find: P(z < -0.29) For this and future problems, keep 4…

A: We have to find  probability..

Q: For a standard normal distribution, find the probability that a value is greater than 1.01 standard…

A: Given that, For a standard normal distribution, X follows Normal distribution with mean 0 and…

Q: A population forms a normal distribution with amine of 85 and a standard deviation of 24 compute the…

A: We have given that  X~N( μ , ?^2 ) μ= 85    ,   ?=24  , n= 9 , mean= xbar=91

Q: Mean of the log normal distribution is,

A: Parameter of lognormal distribution are :μ and σ2

Q: For a standard normal distribution, find: P(-0.55 < z < 2.43)

A: Z-score :    Z-score is called as standard normal variate which follows normal distribution with…

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: A vertical line is drawn through a normal distribution at z- 1.20. What proportion of the…

A: Given, A vertical line is drawn through a normal distribution at z=1.20.

Q: Solve and sketch the problem. Given a normal distribution with population mean is 21 and population…

A: Let X be the random variable from normal distribution with mean (μ) = 21, variance (σ2) = 64 then…

Q: For a normal population with mean = 100 and population standard deviation = 20: A. What is the…

A:

Q: A z-score of z = -1.00 always indicates that a score is located exactly 1 standard deviation below…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: Let X be a variable with normal distribution with mean ? = 36.8 ℃ and standard deviation ? = 0.4 ℃.…

A: We want to find probability of temperature reaches more than 40° c

Q: 2. Find the standard normal value that a student selected at random got a Score: a. 80 b. 85 3. If a…

A: Given Information: Sample size (n) = 10  Mean (u) = 82  Standard deviation (s) = 12.5

Q: A vertical line is drawn through a normal distribution at z = 0.80. What proportion of the…

A: The standard normal distribution: A continuous random variable Z is said to follow standard normal…

Q: Draw the normal curve. Given a normal distribution with population mean is 21 and population…

A: Solution-: Given: μ=21,σ2=64 ∴σ=8 We find x such that, P[X&gt;x]=0.51

Q: X is Normally distributed with a mean of 200 and a standard deviation of 25. What is the probability…

A: Given,mean(μ)=200standard deviation(σ)=25

Q: Find the area under the standard normal distribution curve. Between -0.34 and -0.23  Between -1.96…

A: The area under the standard normal distribution curve between -0.34 and -0.23 is computed as,…

Q: For a standard normal distribution, find: P(z < -0.77) Express the probability as a decimal rounded…

A: Given that z is a standard normal distribution.  So, z follows a normal distribution with mean=0 and…

Q: A vertical line is drawn through a normal distribution at z- 080 What proportion of the distribution…

A: Standard Normal distribution.

Q: For a standard normal distribution, find: P(z < 1.02) Express the probability as a decimal rounded…

A: Given Information: To find Pz&lt;1.02

Q: For a standard normal distribution, find the probability that a value is greater than 2.3 standard…

A: The probability that a value is greater than 2.3 standard deviations below the mean and less than…

Q: For a standard normal distribution, find: P(z > 1.72) Express the probability as a decimal rounded…

A: P(Z&gt;1.72) is given.It is right tailed.

Q: For a standard normal distribution, find: P(z > -0.87)

A:

Q: For a normal distribution with a mean of 60 and a standard deviation of 10 find the proportion of…

A: Solution: Let X be the score. From the given information, X follows normal distribution with a mean…

Q: Use the Standard Normal Table to find the probability. The lengths of pregnancies of humans are…

A: According to our guidelines we can answer the first question and rest can be reposted. Given that,…

Q: For a standard normal distribution, find: P(z > 0.97) Express the probability as a decimal rounded…

A:

Q: In a normal distribution, the mean is equal to 60 and the standard deviation equal to 7. Find the…

A: The provided information are: Population meanμ=60Population standard deviationσ=7

Q: For a standard normal distribution, find: P(z < -0.22) Express the probability as a decimal rounded…

A: We have to find P(z&lt;-0.22)  Graphically,  We have to find shaded area.

Q: Find the indicated probability assuming that x is a random variable with a normal distribution with…

A: It is given that the mean is 100 and standard deviation is 25.

Q: A verticle line is drawn through a normal distribution at z=.80. What proportion of the distribution…

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: For a standard normal distribution, find: P(z > -0.67) Express the probability as a decimal rounded…

A: Given information- We have given the standard normal distribution. We have to find the probability-…

Q: Assuming a Normal Distribution, find the probability of a product failing: - i) After less than…

A:

Q: What proportion of a normal distribution is located between z = –0.60 and z = 0.60?

A: Given that, Z = -0.60 and Z = 0.60

Q: The distribution of the variance (Chi-Square distribution) becomes more like a normal distribution…

A:

Q: For a standard normal distribution, find the probability that a value is greater than 2.9 standard…

A:

Q: Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If…

A: We are given two normal distributions with mean = 0 and standard deviations σ1 and σ2.

Q: A process is normally distributed. If the standard deviation is 4 and P(X> 20) = 0.05. Find the mean

A:

Q: What is the area of a standard normal distribution between z = - 0.83 and z = 1.83?

A:

Q: XrepresentStandom variable coming from a normal distribution and P(X <8.4)

A: Given,P(X&lt;8.4)=0.53

Q: In a researcher’s normal distribution, 35% of the area under the curve is to the right of the score…

A: It is given that P(X &gt; 70) = 0.35, where X follows Normal distribution. Then  P(X &lt; 70) = 1 -…

Q: Assume that X has a normal distribution. The mean is μ=15.2 and the standard deviation is σ=0.9.…

A: Given Information: Assume that X has normal distribution.

Q: For a standard normal distribution, find: P(z < 1.64) Express the probability as a decimal rounded…

A: