d) Due to the symmetry of the normal distribution we know that P(X > 30) = P(X <

Q: z score co z sore co raw score e raw score

A: Given that  Mean (μ)=35 Standard deviation (σ) = 4   we know that ,   z=(x-μ)σ (a)  Given x=31 So,…

Q: Ex10: Let X be a normal distribution with a mean of 5 and standard deviation 1. Find: a/ P(X= 5) and…

A: Solution

Q: A population of values has a normal distribution with μ=80.9 and σ=25. You intend to draw a random…

A:

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

A:

Q: About w% of the area under the curve of the standard normal distribution is between z=-1.302 and…

A: standard normal curveX~N(0,1)μ=0σ=1we have to find out the p(-1.302&lt;Z&lt;1.302)=?

Q: (c) When a is large, the gamma distribution is well approximated by the normal distribution with the…

A: If X~gamma(α,λ) ,   where α is shape paramter and λ is the scale paramter. The mean and variance of…

Q: Which of the following is not true about the Normal curve? Select one or more: U A. The total area…

A: Option C and D are the correct answers.     The normal curve has only one mode, so option B is True,…

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: d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).

A: GivenMean(μ)=44standard deviation(σ)=8Let "X" be the length(in cm) of aneel

Q: (T/F) True or False. For an observed value x from any Normal Distribution with known mean and…

A: The objective of the question is to determine whether it is always possible to calculate a z-score…

Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≤ 72?

A: For a normal distribution, Mean = 80 Standard deviation = 8

Q: You are conducting a study to see if the probability of a true negative on a test for a certain…

A: given data  claim : p &lt; 0.28test statistic : Z = -2.95p value = ?

Q: If X ~B(60,0.18), use the normal distribution to approximate the binomial distribution for: (i)…

A: Given, X ~B(60,0.18) i.e., n=60 p=0.18 P(X=10)=?

Q: A normal distribution has a mean of µ = 40 with σ = 8. If one score is randomly selected from this…

A: The following information has been provided:

Q: The value of k for a random sample of size 18 for a normal distribution such that P(-2 <t< k) =…

A:

Q: 2. For a chi-squared distribution, find x such that (a) P(X² > x²) = 0.99 when v = 4; (b) P(X² > x²)…

A: Step 1:For a chi−square distribution,find Xα2​Part a: X_{\alpha}^2 )=0.99 \ , when \ v=4…

Q: The following table gives frequencies of occurrence of a variate x between certain limits : Variate…

A: Average daviation = 33.33 Standard daviation = 3.8729

Q: 1.) For the standard normal distribution, find The area within one standard deviation(|z|<1). Your…

A: Given : Standard normal variable Z Z~N(0,1)Mean=0 Standard deviation (sd)=1

Q: A normal distribution has a mean of µ = 200 with σ = 20. If a vertical line is drawn through the…

A: Let X be a random variable such that X~N200,202

Q: A normal distribution has μ = 32 and a = 5. (a) Find the z score corresponding to x = 27. (Enter an…

A: Given that  X~N (μ = 32  , σ = 5) μ= 32  , σ = 5 Formula for Z-score Z=(X-μ)/σ

Q: A normal distribution has a mean of 50,000 with a standard deviation of 5,000. Find the value x such…

A: We have to find out x value for given data..

Q: Distribution is skewed right (b)When we compute the sample mean and sample standard deviation for…

A: Given: Sample mean x¯=36.56 Sample standard deviation s=4.475

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

A:

Q: Find z such that 8% of the standard normal curve lies to the right of z

A: Normal distribution:The Normal distribution has a bell shaped curve and it is a continuous…

Q: The Normal distribution with mean µ = 499.6 and standard deviation o = 10.4 is a good description of…

A:

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

A: Given a normal distribution with mean = 40Standard deviation = 10The Z score for any data point X is…

Q: Find z such that 64% of the standard normal curve lles between and (Round your answer to two decimal…

A: It is given that the area under the standard normal curve is 64%.

Q: Normal distribution has a mean u = 30 and standard deviation sigma = 12. For each of the following…

A:

Q: elow is a graph of a normal distribution with mean μ = 2 and standard deviation o=4. The shaded…

A: Suppose the variable of interest is x.

Q: A normal distribution has a mean of µ = 40 with σ = 10.   What proportion of the scores in this…

A: Obtain the standard z-score for the random variable equals 55 The standard z-score for the random…

Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: It is given that XYZ are the three quantities of the three standard normal distributions. The…

Q: If P(-X < z < +X) = 0.9198, find the value of X using Standard Normal Distribution table.

A: In this case, it is given P-X&lt;Z&lt;+X=0.9198.

Q: The median of the distribution X having p.d. f. f(x) = {3x",0 < x < 1 0 ,0.w. %3D

A: We have to find median for given pdf.

Q: A normal distribution has u = 28 and o = 5. (a) Find the z score corresponding to x = 23. (b) Find…

A: From the provided information, Mean (µ) = 28 Standard deviation (σ) = 5 X~N (28, 5) Here X is the…

Q: A mean and standard deviation of a normal variate are 8 and 4 respectively. Find P(5 < x < 10)

A: Given that ; Population mean (u) = 8  Standard deviation = 4 By using standard normal distribution…

Q: A normal distribution has μ = 24 and σ = 5. (a) Find the z score corresponding to x = 19. (b) Find…

A:

Q: Find the area of the standard normal distribution between z = -0.67 and z = 0.

A: Solution: 1. From the given information, the z values are -0.67 and z=0.

Q: The test score (X) of the training participants has a normal distribution with an average value of…

A: