27. Let X have a Standard Normal Distribution. Find P(X < 1.46). C. 0.93785 A. 0.91785 B. 0.92785 D. 0.94785

Q: et X, has a normal distribution with a mean of 100 and a standard deviation of 4. the z value for X…

A: Given,μ=100σ=4x=80z=?

Q: Let X have a Nonstandard Normal Distribution with µ 55 and o = 8. Find P(X > 57).

A: Given that X follows N(mean = 55, SD = 8)

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

A: Givenμ=42σ=6Let "X"=length(in cm) of an eel

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: Consider a Uniform distribution defined as 2 < x < 8, fx(x) = }6 .03B е. w. Find E (-).

A: Given,

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

A:

Q: Assume that x has a normal distribution wit A USE SALT H = 48; o = 17 P(40 sxS 47)

A: Calculate the corresponding z scores as follows: Thus,

Q: A distribution is given as X ~ Exp(0.75). What is m?

A: Exponential distribution: A continuous r.v. X taking non-negative values is said to follow an…

Q: Given a normal distribution with µ = 30 and o = 6, find a. The normal curve area to the right x =…

A: As per guideline expert have to answer first question three subparts only dear student please upload…

Q: Suppose that Xhas a normal distribution, Find E[ekx].

A: Solution

Q: Given a normal distribution with µ= 30 and o =7, find (a) the normal curve area to the right of x =…

A:

Q: 2. Suppose Y has a standard normal distribution. Define U = Y. Show that U has a gamma distribution…

A: Given that  Suppose Y has a standard normal distribution. Define U = Y ^ 2 . Show that U has a gamma…

Q: Let X follow the normal distribution with μ = 100 and σ = 10. Then P(X < 120) is closest to:…

A: Solution

Q: 2. Find the following areas under a normal distribution curve with x = 20 and s = 4 a. area between…

A:

Q: Find the proportion of the normal distribution that is associated with the following sections of a…

A:

Q: For a standard normal distribution, find c if P(z < c) = 0.1035 с —

A:

Q: For a standard normal distribution, find c if P(z > c) = 0.7321 c=

A:

Q: hat is the value of the area between "0" and "-1.63" under the normal distribution curve?    a)…

A: What is the value of the area between "0" and "-1.63" under the normal distribution curve?

Q: 2. Find the area under the standard normal distribution curve. Illustrate your answer. a. between 0…

A: Assume, z be the standard normal random variable. μ be the mean value of z. σ be the standard…

Q: Suppose that Xhas a normal distribution, Find E[ex].

A: Solution-: Suppose, X has a normal distribution We want to find, E(ekx)=?

Q: For a standard normal distribution, find c if P(z < c) = 0.4099 C =

A: We have to find value of C.

Q: Find the proportion of the normal distribution that is located between the following zscore…

A:

Q: A normal distribution has a mean of m = 24 with s = 3. What is the minimum score needed to be in the…

A: Let "X" be the minimum score. Since the total area under the normal curve is 1. therefore, the…

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: Prove that the E(X) = 1/p for a geometric distribution, where x is the number of trials.

A: The geometric distribution with probability that ranges from 0 to 1 is a discrete probability on the…

Q: b) Given a normal distribution with µ=30 and 0=6, find the value of x that has 48% area to the left.

A:

Q: Given a normal distribution with m = 82 and s^2 = 36, find the probability that X assumes a value…

A: Given that X follows N(mean = 82, SD = 6), then Z = (X - mean)/SD follows N(0,1)

Q: he mean eggshell thickness for quail eggs that are 15 mm in length? um he mean eggshell thickness…

A: Given:- y = 0.185 +0.007x and that sigma= 0.005.

Q: For the standard normal distribution, find the value of c such that: P(z > c) = 0.3392

A: Given, Pz&gt;c=0.3392 Therefore, 1-Pz&lt;c=0.3392Pz&lt;c=1-0.3392Pz&lt;c=0.6608

Q: Choose the correct answer If P(-X < Z < +X) = 0.9198, find the value of X using Standard Normal…

A: Given,P(-X&lt;Z&lt;+X)=0.9198

Q: find the probabilities from a standard normal distribution that satisfy each of the following…

A: (a) From table z, Shade the appropriate area under the curve as follows:

Q: Assume that ex has a normal distribution with a specify mean and standard deviation mean =18…

A: Obtain the standard z-score for the random variable X equals 30. The standard z-score for the…

Q: For a standard normal distribution, find cc if P(z > c) = 0.9445 c=

A: For the greatest accuracy, don't use z-table. Draw the normal curve and shade the area of 0.9445 to…

Q: For a standard normal distribution, find c if P(z < c) = 0.7719

A: We know that,  If x is random variable from the standard normal distribution with mean (mu) = 0 and…

Q: Find the following areas under a normal distribution curve with μ = 20 and =4. a. Area between x =…

A: Given that, A normal distribution curve have mean μ = 20 and standard deviation σ=4. a. Area between…

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Mean = 107 Standard deviation = 14

Q: If X∼U(7,20) follows a uniform distribution, what is the mean of X?

A: The mean of X is obtained below: From the given information, X∼U(7,20) follows a uniform…

Q: Given a normal distribution with u = 35 and o = 8, find: a) the normal curve area to the right of x…

A: Given Data Population Mean,μ = 35.0 Population Standard Deviation,σ = 8.0  follows…

Q: Suppose Y has a standard normal distribution. Define U = Y. Show that U has a gamma distribution…

A: Solution

Q: Suppose X has a standard normal distribution. Find the distribution of Y= X2/2

A: Solution-: Suppose X has a standard normal distribution. Find the distribution of Y=X22

Q: A vertical line is drawn through a normal distribution so that 17.36% of the distribution is located…

A:

Q: d) For a standard normal distribution, find the probability a score is more than 1.31 standard…

A: Solution- d) We have to find the probability of a score is more than 1.31 standard deviations above…

Q: Given a normal distribution with μ = 30 and o=6, find (a) the normal curve area to the right of x =…

A: According to our guidelines, we can answer only three sub-parts. So please repost the rest parts.

Q: 1. For the normal distribution below, approximately what area is contained between -1 and 2 [µ = 0,…

A: Here from the standard normal distribution we need to find the area between -1 and 2 ie…

Q: Suppose n =42 and p =0.34 Can we approximate p by a normal distribution? Np=        Nq=

A: Given data, n=42 p=0.34

Q: For the standard normal distribution (µ 0 and o = 1), find: P(z < -1.05)

A: Given Mean=0 Standard deviations=1

Q: How often was it above - 3°C at noon in Ajax last winter?

A: The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution…

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

A:

Q: An elevator can safely hold 3500 pounds. A sign in the elevator limits the passenger count to 15. If…

A: Given Example - An elevator can safely hold 3500 pounds. A sign in the elevator limits the passenger…