5. Find the z-score that satisfies the following statements involving the standard normal variable Z. (A) P(Z > z) = 0.9678 (B) P(-z < Z < z) = 0.8354 %D

Q: If z is a standard normal​ variable, find P​(z&gt;​0.97). Round to four decimal places.

A: P​(z &gt; 0.97):

Q: Which proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Solution: Here, it is needed to find the proportion of a normal distribution is located between z=0…

Q: Find the area, to the nearest thousandth, of the standard normal distribution between the given…

A: We have given z - scores.  Z= 0 and Z = 1.4

Q: Suppose random variable X follows a normal distribution with mean 10. If 16% of observations from…

A:

Q: I have sent the picture below of the question I need answered

A: Given Information- Data given for the sitting back-to-knee length for a group of adults is given…

Q: Given a normal distribution with μ = 30 and σ = 6, the area under the normal curve between x1 = 32…

A:

Q: Find the percent of the total area under the standard normal curve between the following​ z-scores.…

A: Given :  Standard normal variable Z with Mean=0 Standard deviation=1 i.e Z~N(0,1)

Q: 0, If X has a normal distribution with mean u=18 and o = 3 find a) P(16 sXS 20)

A:

Q: Find the z values for each of the following x values for a normal distribution with mean = 16 and a…

A: GIVEN:  random variable x from normal (mu=16,sd=3 )  Then z value :  z=(x-mu)/sd…

Q: What proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: 2 If x is normally distributed with a mean of 5 and standard deviation of 2, find the P(x>8).

A: Given X is normal distribution Mean = 5 Standard deviation = 2

Q: The value of the standard deviation o of a normal distribution is always O a. Equal to zero b.…

A: Basics: We know that , standard normal distribution  with mean of 0 and standard deviation of 1. i.e…

Q: Find the area to the nearest thousandth of standard normal distribution between the given z scores.…

A:

Q: 1. What X score corresponds to the lowest 16.60% of the scores where u = 20 and o=2 for a Normal…

A: Given Data: Let X represent the normal distribution   X~ Normal (20, 22)

Q: For the standard normal curve, find the z-score that corresponds to the 90th percentile.   A 2.81…

A: According to the given information, we have 90th percentile is given.

Q: Suppose random variable X has a normal distribution with a mean of 98.2 and the standard deviation…

A: According to the given information, we have Mean = 98.2 Standard deviation = 3.2

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

A:

Q: Given a standard normal distribution, what is the value of Z0 such that P(Z≤Z0)=0.4946?

A:

Q: Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a…

A:

Q: Solve the following problems and show your complete solutions. Draw the normal curve then shade the…

A:

Q: Solve the following problems and show your complete solutions. Draw the normal curve then shade the…

A:

Q: For some positive value of Z, the probability that a standard normal variable is between 0 and Z is…

A: Given: P0&lt;z&lt;Z=0.3770. Then,P0&lt;z&lt;Z=0.3770⇒Pz&lt;Z-Pz&lt;0=0.377⇒Pz&lt;Z-0.5=0.377…

Q: 2. Let x be a normal distribution with mean u and standard deviation a.What is the z score that…

A:

Q: Find the area, to the nearest thousandth, of the standard normal distribution between the given…

A: Here we need to find the area between the two z scores. We need P(0&lt;z&lt;1.1) where z~N(0,1).

Q: Explain a situation in which the criteria for using the approximation would be met, ie. np ≥ 5 and…

A: Ans .  The mean μ of a binomial = np. The standard deviation of a binomial = √np(1−p) For a normal…

Q: If the area associated with z=1.44 is 0.425 in the Z-table, find the area (in square units) of the…

A: Answer - If the area associated with z = 1.44  is   0.425.                 i.e   P( 0 &lt; z &lt;…

Q: Find the area to the left of x = 36 under a normal distribution curve with μ = 44 and o = 4.

A: The mean and standard deviation are 44 and 4, respectively.

Q: What proportion of a normal distribution is located between z = -1.25 and z = +1.25?

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.

A: Z = 2.000 p = 0.0228

Q: Given that z is the standard normal variable (with mean 0 and standard deviation 1), find (4 decimal…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 25. For a normal distribution with μ = 0.243 and a = 0.0073, find ◆◆(0.240< <0.250).

A: q.25)  Use the Normal approximation method z-score μ=0.243 σ=0.0073     P (0.240≤ x ≤ 0.250) =…

Q: What proportion of a normal distribution is located in the tail beyond z = 1.50?

A: It is given that the z-score is 1.50. The proportion of a normal distribution is located in the tail…

Q: If X is normal with mean 9 and variance o? where P(X >7.5) = 0.7734 Then standard deviation of X is

A: The mean of the data is 9. The probability of event is more than 7.5 is 0.7734

Q: P( x > 20 )

A: Given the random variable X has a normal distribution with a mean  µ=10 and Variance Ϭ^2=16. The…

Q: 19. In a sample distribution, X = 56 corresponds to z = 1.00, and X = 47 corresponds to z = -0.50.…

A: The formula of z-score is, For X = 56 corresponds to z = 1.00, then the equation is,

Q: Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a…

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

Q: (a) 95% to the left of a (or, in other words, what is the value of a if it is known that P(X a) =…

A:

Q: Let X. XK, be a random sample of sire n from a normal distribution with population mean -0 and…

A:

Q: Find the area, to the nearest thousandth, of the standard normal distribution between the given…

A: The area between z=1.12 and z=1.9 can be defined as the percentage. The area between z=1.12 and…

Q: Given a normal distribution with mean 30 and standard deviation 5, the value of x that has a 40.52%…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: 20. Suppose that x has a normal distribution with a mean of 72 and a standard deviation of 8. In a…

A: From the provided information, Mean (µ) = 72 Standard deviation (σ) = 8 X~N (72, 8)

Q: 31. If X is a normal variate with mean 2 and S.D 3, find the -1a Also find p Y 2 distribution of Y =…

A:

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

A:

Q: 32 Find the z values for each of the following x values for a normal distribution with mean = 16 and…

A: Give in question  Mean  = 16 Standard deviation =sd =3

Q: 33. If X is a normal variate with mean pu and variance X-H<b=0.9, find b. o? and p -b<

A:

Q: 6. If X has a normal distribution with mean µ=18 and o = 3 find

A:

Q: find the aread under the standard normal distribution curve between z = -2.42 and z = .40

A: P(−2.42&lt;z&lt;0.40) = P(Z&lt;0.40) – P(Z&lt; -2.42) = 0.655422 – 0.00776 = 0.647662 P(Z &lt; 0.40)…

Q: For a normal distribution with μ = 30 and σ = 5, find the z-score corresponding to x = 42

A: According to the provided information, μ = 30 and σ = 5 x=42