Given a random variable X having a normal distribution with µ=62 and o=15, find the probability that X assumes a value between 55 and 74 O 0.68120 O 0.46896 O 0.53675 O 0.71952

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 Z<…

A: From the given information we Want to find the probability between given Z score.

Q: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

A: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

Q: If z is a standard normal variable, find the probability when z is less than 1.98 0.9078 0.0239…

A: Z is a standard normal variableProbability that z is less than 1.98 is given by,

Q: Find the indicated probability using the standard normal distribution. P(-3.02 <z< 0)

A: Standard Normal Distribution: A random variable z is said to be a standard normal variable if z…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of…

A: Given that: P (-2.21 &lt; Z &lt; -1.39)

Q: Let X be a random variable following a normal distribution with mean 14 and variance 4. Determine a…

A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…

Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20…

A:

Q: Let z be a random variable with a standard normal distribution. find the indicated probab P(-0.25 <…

A: P(-0.25≤z≤0.55)=?

Q: Find the probability P(-0.67 < z < -0.06) using the standard normal distribution. O 0.7754 0.3546…

A: It has been provided that, P( -0.67 &lt; z&lt; -0.06)

Q: ​P(−1.67<z<0​)

A: it is standard normal distribution  therefore mean = 0  standard deviation = 1  to find…

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

A: a) Area to left of z is 0.2119i.e.1 P(z&lt;7) = 0.2119                        7=!From Normal…

Q: Consider the discrete random variable x given in the table below. Calculate the mean, variance, and…

A:

Q: In a standard normal distribution, If P(-a < z < a) = 0.6083, Find a.

A: Given that, P(-a &lt; z &lt; a) = 0.6083

Q: Find the following probability for the standard normal distribution. P(-0.5 < Z < 0.5) 0.68 O 0.95…

A: Given  P(-0.5 ≤ z ≤ 0.5) Use the following probability for the standard normal distribution table…

Q: For a standard normal distribution, the probability of obtaining a z value between –1.8 and 1.1 is…

A:

Q: A discrete random variable X has its probability mass function given by this histogram. 0.45/ 0.4…

A:

Q: Let z be a normal random variable with mean 0 and standard deviation 1. The 50th percentile of z is…

A: Given that, Z be a normal random variable with mean 0 and standard deviation 1.

Q: Suppose Z is a random variable that follows the standard normal distribution. d) Find z0.06. e) Find…

A:

Q: Given the standard normal distribution, find Z such that P(z < Z) = 0.2581. Select one: O a. -0.65 O…

A: The probability of z-score to the left is 0.2581.

Q: Given the standard normal distribution, find Z such that P(-Z < z < Z) = 0.5393. Select one: O a.…

A: Given: P(-Z &lt; z &lt; Z) = 0.5393

Q: For a standard normal distribution (u = 0 and o = 1),find the following probability, and please show…

A: From the provided information, Mean (µ) = 0 Standard deviation (σ) = 1

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 < Z…

A: P(-2.21&lt;Z&lt;-1.39)=?

Q: Let z be a random variable with a standard normal distribution. Find the indicated probability…

A: we have to find P(z ≤ 1.5)....

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

A:

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 <…

A: The Random variable Z follows a standard normal distribution We need to calculate

Q: In a standard normal distribution, P(Z < 0.42) = 0.6628 0.5948 SAMSUNG 0.3372 0.6554

A:

Q: Let z be a random variable with a standard normal distribution. Find the indicated probability…

A: Required probability is P(0.5≤Z≤1.4)

Q: The waiting time to get a take-out order of food at a fast food restaurant is the time that elapses…

A: Given Data: let X represent the random variable   Mean=5 SD=1.41   X~ Normal (5, 1.41)

Q: "Given a standard normal distribution with mean =80 and standard deviation = 36, find P(X>76)." A…

A: Given that  u = 80 Sigma  = 36 X = 76  Find P(x&gt; 76) = ???  By using standard normal…

Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20…

A: Given Data: Z follows standard normal distribution   Let the value be X

Q: Use the z-table (attached to this test), calculator, or computer software to find the following:

A: Given: The random variable X approximately follows a normal distribution with mean (µ) is 0.01 and…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(Z > -1.00)…

A: The z value is -1.00.

Q: Find the indicated probability given that Z is a random variable with a standard normal…

A: We can write the given inequality as:

Q: f Z is a standard normal random variable, What is E[|z|]? Answer using four decimal places.

A: Z is a standard normal variable Z~N(0,1)   E(Z)=∫-∞∞z·12π e-z22dz=∫-∞0-z·12π e-z22dz+∫0∞z·12π…

Q: Assume that the random variable X is normally​ distributed, with mean μ=50 and standard deviation…

A:

Q: places.) x 0 1 2 3 P(X = x) 0.4 0.3 0.1 0.2 ? =

A: Given information- We have given the probability distribution for X. The given observations and…

Q: The standard deviation of a discrete random variableo is the positive square root of it- O a.…

A: The standard deviation, σ, is the positive square root of the variance

Q: The daily sales at a convenience store produce a normal distribution with a mean of $1,990 and a…

A: Given problem is normal distribution. Let, X: daily sales at a convenience store product μ=mean=1990…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z>-1.00)…

A: The value of P(Z&gt;-1.00) is obtained as given below: P(Z&gt;-1.00)=1-P(Z≤-1)  =1-0.1587 [Using…

Q: Find the value of Z from the standard normal table such that the probability between Z and –Z is…

A: The solution is given below.

Q: Given the standard normal distribution, find P(z 0.03). Select one: O a. 0.3988 O b. 0.6012 O c.…

A:

Q: Given the standard normal distribution, find P(-3.12 < z < –1.26). Select one: O a. 0.1029 O b.…

A: Introduction: Denote z as the standard normal variable, which has mean 0 and standard deviation 1.

Q: If z is a standard normal variable, find the probability. P(z>0.61) 0 0.2389 O 0.2709 O 0.2236 O…

A: Standard Normal Distribution: A random variable z is said to be a standard normal variable if z…

Q: Assume that the random variable X is normally distributed, with mean μ = 60 and standard deviation…

A: Given:  Assume that the random variable X is normally distributed. Mean μ = 60 Standard deviation σ…

Q: Consider the discrete random variable x given in the table below. Calculate the mean, variance, and…

A: SOLUTION Conditions for the discrete probability distribution The sum of all probability is equal to…

Q: Suppose the random variable Z follows a standard normal distribution . Then the value of P(Z < -…

A: Let, X~N(μ,σ), thenZ=X-μσ~N(0,1)

Q: Given that z is a standard normal random variable, find z for each situation. (Round your answers to…

A: We have to find Given probability.

Q: Find the probabilities for each using the standard normal distribution. P( z> 0.56)

A: We have to find P(z &gt; 0.56)