Draw a normal curve with  b= 20 and a = 3.(b) Shade the region that represents p(22 ≤ x ≤ 27) and find the probability. Note that x represents a normalrandom variable with distribution described in part (a) and that p represents the probability for x to take arange of values.

Q: Find the​ z-score that has 75.8​% of the​ distribution's area to its right.

A: We need to find z such that P(Z > z)= 0.758

Q: Find the z-score, to the nearest hundredth, that satisfies the given condition. 0.198 square unit…

A: P(Z<z)=0.198 square unit z=?

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: 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: In standard normal distribution, the area between z = .79 and z = 2.67 is:

A:

Q: he percentage of heights less tahn 169 centimeters is ________%.  Round to two decimal places as…

A: mean = 169 sigma = 7

Q: How much area is at the left of z = -2.13 under a normal curve?

A: Here use z distribution table for probability from z score

Q: Find the z-score for which 80% of the distribution's area lies to its right.

A:

Q: Find the​ z-score that has 93.82​% of the​ distribution's area to its left.

A: given probability is P(Z&lt;z0)=0.9382

Q: For a normal distribution, identify the z-score location that would seperate the distribution into…

A: Given information a) 20% in the tail on the right-hand side means P (Z &gt; z) = 0.20 P (Z &lt; z) =…

Q: Find the z-score, to the nearest hundredth, that satisfies the given condition. 0.119 square unit…

A: Provided information is, 0.119 square unit of standard normal distribution is to the left of z. That…

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

A: Here, α=0.08. The alternative hypothesis is H1: μ≠ 3.24. That is test is two tailed. Thus, there are…

Q: Find the area of the normal curve of: a) From z=-2.14 to z=1.47 b) From z=1.04 to z=2.83 c) From…

A: Standard normal score is used to determine the observations deviated from the mean. Z score is used…

Q: A vertical line drawn through a normal distribution at z = +1.40 divides the distribution into two…

A: According to the given information, we have Z score = +1.40 The proportion in the smaller section is…

Q: 23. For the standard normal curve, find the z-score(s) a. that has area 0.30 to its left. b. that…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A vertical line drawn through a normal distribution at z = -0.72 separates the distribution into two…

A: Given :  A vertical line drawn through a normal distribution at z = -0.72 separates the distribution…

Q: Sketch the area under the normal distribution curve over the indicated intervals and find the…

A: (a) The probability between Z = - 2.33 and  Z = -1.44  is, Therefore, the required probability is,…

Q: Find the z -value such that 75% of the standard normal curve lies between -z and z.

A: Given that 75% of the standard normal curve lies between  ̶ z and z.   That is,

Q: Let X and Y have a bivariate normal distribution with parameters P₁ = 5.4, p= 0.70and given Y = 6,…

A: Given that μ1=5.4, σ1=1.5, μ2=5.10, σ2=2, ρ=0.70

Q: For the standard normal curve, find the z-score(s) a. that has area 0.30 to its left.b. that has…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: For a normal distribution with µ = 64 and σ = 9,

A:

Q: Find the area to the left of the z-score −0.40 under the standard normal curve.

A: Given z score is -0.40

Q: Assuming that the data are normally distributed, A. Determine the z-score such that the area to its…

A: Solution: Data are distributed normally To find  : the- Z score

Q: 23. For the standard normal curve, find the z-score(s) a. that has area 0.30 to its left. b. that…

A: Solution: Let Z be the standard normal variable with mean 0 and standard deviation 1. Z~N(0,1)

Q: Determine the area of under the Normal Curve for z≥-2.3 B 2.3 area= [a]

A: Let Z be the random variable from normal distribution then we will find the area under normal curve…

Q: Determine the area of under the Normal Curve for 2≤-1.1. -1.1 area=[a]

A: Let Z be the random variable from Normal distribution then we will find the area under normal curve…

Q: (a) Convert both x¡ and x2 values to z values, and locate both of these values under the standard…

A:

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: Given random X ~ N(y,y), where y>0 and normal distribution N with mean = = sd. %3D a) find confident…

A: Let random X~Ny,y , where y&gt;0 andnormal distribution N with mean=sd i.e μ=y and σ=y To find…

Q: Sketch the areas under the standard normal curve over the indicated intervals and find the specified…

A: Sketch the areas under the standard normal curve over the indicated intervals and find the specified…

Q: Find the Z value such that 40% of the standard normal curve lies between -Z and +Z .

A:

Q: Find the z value such that 39% of the standard normal curve lies between -z and z

A:

Q: Determine the area under the standard normal curve that lies between (a) Z=-2.15 and Z=2.15, (b)…

A: Given : (a) z=-2.15 and z=2.15 (b) z=-1.08 and z=0 (c) z=-1.68 and z=-0.02.

Q: Find the probability that a given score is less than −0.93 and draw a sketch of the region.   with…

A:

Q: Let X denote the mean of a random sample of size 100 from a distribution that is x^2(50). Compute…

A: Given,mean of x (μx)=50variance =2×50=100sample size(n)=100standard error=σn=10100=1

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

A: Given information: It is given that X, Y, Z are random quantities of three standard normal…

Q: Which proportion of a normal distribution is located bwteen z = --1.75 and z = +1.75?

A:

Q: Find a z-score satisfying the given condition. For any normal distribution, what is the value of…

A:

Q: Find the z-score such as the standard normal curve to the left is 0.49

A:

Q: Find the value of z such that 80% of the standard normal curve lies to the left of z.

A:

Q: Find the area of the standard normal distribution to the right of z= 0.82 if the area from z=0 to z=…

A:

Q: Find the z value such that 97% of the standard normal curve lies between −z and z.

A: Draw the normal curve and shade the area between -z and z.

Q: Assume a distribution with mean of 50 and a standard devivation of 12.  For an x-value of 65, the…

A: Given information- Population mean, µ = 50 Population standard deviation, σ = 12

Q: Find the z-score that is greater than the mean and for which 70% of the distribution's area lies to…

A: To find the z score for which 70% of the distribution's area lies to its left.

Q: Given a normal distribution with u = 30 and o = 6, find the normal curve area to the left of x = 22.…

A:

Q: Draw the normal curve, shade the given area, then find Z-score. ANSWERS SHOULD BE IN 2 DECIMAL…

A: Here we have to use z score table for given area...

Q: Find the probability that z is between two values 0.43 and 0.72. Sketch the normal curve/s neatly.​

A: The  probability that z is between two values 0.43 and 0.72 is, Using the Excel formula to find the…

Q: Find the z score such that the area under the standard normal curve to the right is 0.44

A: Given P(Z &gt; Z) = 0.44

Q: Determine the area of under the Normal Curve for -0.552 52 -0.5 2 area=[a]

A: Required probability is P(-0.5≤Z≤2)

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.