Q1. Let X be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75. a. Find the value of X so that the area under the normal curve to the right of X is 0.9345. b. Find the value of X so that the area under the normal curve between µ and X is approximately 0.4700 and the value of X is less than µ.

Q: About % of the area under the curve of the standard normal distribution is between z = 1.792 and z =…

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<Z<1.302)=?

Q: 1. a.For a standard normal curve, find the area to the left of z = –1.3. (Use 4 decimal places.)…

A: (a) Obtain the area to the left of Z= –1.3. The area to the left of Z= –1.3 is obtained below as…

Q: Find z such that 56% of the standard normal curve lies between −z and z.

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

Q: Calculate Z-score for a random variable X = 60 is normally distributed with mean = 50 and standard…

A: Mean()=50standard deviation()=8X=60

Q: Find the percentage of the area under the standard normal curve to the left of z = −1.16. b) Find…

A: It is given that the standard normal random variable Z in each case. Here, need to find out the area…

Q: For a standard normal variable Z (a) Find the area under the standard normal distribution curve…

A: Given, A standard normal variate z The required area under the standard normal distribution curve…

Q: Find the area under the standard normal distribution curve between Z=0 and Z=2.70. Use The Standard…

A: we have to find area under standard normal curve between z = 0 and z = 2.70

Q: For a standard normal curve, find the area between z = 0.23 and z = 1.89. (Use 4 decimal places.)…

A: The formula for probability of between two value a and b is, Pa<z<b=Pz<b-Pz<a. The area…

Q: Suppose X has a normal distribution with a mean of 800 and a standard deviation of 50. Find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=800 and a standard…

Q: Let x be a continuous random variable that follows a normal distribution with a mean of 207 and a…

A: Given, mean (µ) = 207 standard deviation (σ) = 42 X ~N (207, 42)

Q: Find the area under the standard normal distribution curve between  =z −1.47  and  =z 1.34 .

A: It is needed to find the area under the standard normal distribution curve between z = –1.47 and z =…

Q: Find the area under the standard normal distribution curve between z = -0.30 and z= 1.06. Use a…

A: Press 2ND and VARS choose normalcdf

Q: Find the area under the standard normal distribution curve between z=-2.25 and z--0.83. Use a TI-83…

A: It is given two Z-score values 1) Z = -2.25 2) Z = -0.83

Q: Z is distributed as a standard normal variable. Find the value of a such that Pr(Z < a) = 0.915.

A:

Q: Z is distributed as a standard normal variable. Use Excel to find Pr(Z < 2.38)

A: The z-score is 2.38.

Q: Let x be a continuous random variable that follows a normal distribution with a mean of 213 and a…

A:

Q: Let Z be the standard normal variable with μ = 36 and σ = 4.2. Find the value of P(X  30). Round…

A: Note:It is given that Z is the standard normal variable with mean 36 and standard deviation 4.2.…

Q: Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a…

A: we have to find value of x...

Q: Find the area under the standard normal distribution curve between z= 0.51 and z= -1.01. Use The…

A: From the given information ,We have to find the area under the standard normal distribution curve…

Q: About % of the area under the curve of the standard normal distribution is between and (or within…

A: Area  between z = -0.921 and z= 0.921

Q: Let x have a normal distribution with a mean of 30 and a standard deviation of 7. The z value for x…

A: The formula of the Z-score is,Where, X denotes the raw data point,µ denotes the population mean,σ…

Q: distribution with μ=48.5μ=48.5 and σ=30.9σ=30.9. You intend to draw a random sample of size…

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given,P(-b&lt;Z&lt;b)=0.1904

Q: . Let X have a standard normal distribution. Find  P(X ≧ -0.25)

A: Given,   Let X have a standard normal distribution.    The mean and standard deviation of X is,…

Q: Find the area under the standard normal distribution curve to the left of  =z−1.77

A: The area under the standard normal distribution curve to the left of z = a can be written as P(Z…

Q: For a continuous variable with a normal distribution where the mean is 2.0, the standard deviation…

A: Given: μ=2.0σ=1.0

Q: Find the area under the standard normal distribution curve between =z0 and =z−0.09

A: We have to obtain the area under the curve z=0 and z=-0.09

Q: Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a…

A: Correct answer is x = 179.25

Q: Find the area under the standard normal distribution curve between  =z −2.00  and  =z 1.31

A: given data, STANDARD NORMAL DISTRIBUTION  for standard normal curve x~N(0,1)here μ=0σ=1we have to…

Q: Find the area under the standard normal distribution curve between  =z0  and  =z0.51 . Use The…

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