Activity 2.3: CONVERTING NORMAL RANDOM VARIABLE TO STANDARD NORMAL VARIABLE irections: 102 2012 onvert the following normal random variable to a standard normal variable and vice versa. Show your olutions on the space provided. ctivity Proper: A. Convert the following. Write your answer to the nearest hundredths. 1. x = 35, μ = 18,0 = 5 4. z 1.5, 88,0 = 12 2. x = 16, μ = 20,σ = 7.2 3. x = 95,μ = 85,0 = 25 BA STOB 5. z = 3.25, μ = 110,0 = 5 12.2 8a P 01.28 28 (AW) stul

Q: ec. Find the probability that the next operation of the robogate will take 26.6 sec or less.

A: here mean = 22 sec standard deviation  = 2 sec x= processing time for the robogate

Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…

A: Given Mean =137 Standard deviations=69

Q: Given the following images determine the areas 1. Area: 2. Area: 3. Area: -2.43 200 115 1.81 1.81…

A: The objective is to find the area under the normal curve graphs that are presented.

Q: Teslon Metal 0.93 0:93 0.97l0,87 0,94 097 To0310.99 Ava Mean olandandd devlation= 5. For each height…

A: Given information and calculation is shown below

Q: Does it take more time for seeds to germinate if they are near rock music to being near classical…

A: Hi! Thank you for the question. AS per the honor code, we are allowed to answer the three sub-parts…

Q: A certain hurricane database extends back to 1851, recording among other data the number of major…

A: A random variable is a variable whose value is unknown or a function that assigns values to each of…

Q: Length of skateboards in a skateshop are normally distributed with a mean of 31.9 in and a standard…

A:

Q: responding z-scores. If convenient, use technology to find the z-score. P18 ck to view page 1 of the…

A: Given that.   X~N( μ , ?^2 )   μ=0     , ?=1   Z-score =( x - μ )/?

Q: The amount of trash generated by US households (in lbs per day) is Normally distributed. You take a…

A:

Q: 115. A college offers scholarships based on a certain entrance exam to the top 5%. The scores are…

A: Given: x~Nμ, σ2where mean μ=165and the variance σ2=64 to find x0 where Px>x0=5%

Q: Find the z value such that 81% of the standard normal curve lies between —z and z. (Round to two…

A: Z~N(0,1)

Q: In a test of Ho: H= 90 against Ha:u> 90, the sample data yielded the test statistic z = 2.17. Find…

A: Solution: Correct option is  C

Q: STATISTICS AND PROBABILITY  (Answer only. NO long explanation needed. Rate will be given) ANSWER IN…

A: Let Z be the random variable from standard normal distribution with mean = 0 and variance = 1

Q: Find the value of Za. Z0.04 Click the icon to view a table of areas under the normal curve. Z0.04 =…

A:

Q: Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7.…

A: Population mean, μ=50 Standard deviation, σ=7 X~Nμ,σ2=N50,72

Q: I. Sketch and find the area under the standard normal distribution curve. 1. Between z =0 and z =…

A: Given that  Z follows standard normal distribution with mean zero and standard deviation one Note:…

Q: Use the standard normal table to find the z-score that corresponds to the cumulative area 0.7224. If…

A:

Q: Use the standard normal table to find the z-score that corresponds to the cumulative area 0.9931. If…

A: To find the z-score, look for the value 0.9931 into the columns and rows of the z-table, the…

Q: Directions: Find the area under the normal curve as described below. Sketch the graph. Use the…

A: As per our guidelines we are suppose to answer only one question kindly post the remaining question…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the following…

A:

Q: ← Use the standard normal table to find the z-score that corresponds to the cumulative area 0.9948.…

A: Given P(Z< z)=0.9948  This probability calculated from above standard normal distribution table.…

Q: Find the indicated area under the standard normal curve. Between z = 0 and z = 0.97

A:

Q: 2. SWIMMER'S FLEXIBILITY STUDY Swimming requires complete body movement as defined in sports…

A: T test are used to measure the mean significance between the sample and population. T test are used…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the following…

A: We know that cumulative area is the area under standard normal distribution curve. We have given the…

Q: Find the z-scores for which 86% of the distribution's area lies between -z and z. Click to view page…

A: It is given that the 86% or 0.86 area lies between two z-scores.

Q: Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.0170.

A: The cumulative area is 0.0170. Use the standard normal table: to find the z-value. Locate the area…

Q: Use thế standal area, If the area is halfway between two entries, use the z-score halfway between…

A: Given : cumulative area = 0.9463

Q: ind the following z values for the standard normal variable Z (You may find it useful to reference…

A: a) P(Z≤z)=0.1344z=?By using standard normal tableP(Z≤-1.105)=0.1344 z-table:

Q: Answer the following: 1. Area under the normal curve Find the area under the normal curve: Refer to…

A: Solution: B. Here, the area is to be calculated for the corresponding z values.

Q: 7. Let Z be a random variable with the standard normal distribution. Find the Z-score of the random…

A: Draw the normal curve and shade the area of 0.25 to the left of z.

Q: Need asap   Give a normal distribution with a mean of 50 and a standard deviation of 5, Find the…

A:

Q: Calculate the z-score for the largest value and interpret it in terms of standard deviations. Do the…

A: It is given that mean is 28.766, standard deviation is 3.369, the largest value is 35.100 andthe…

Q: Given the following images determine the areas under the normal curve: 1. Area: 2. Area: 3. Area:…

A: The question is about normal distribution Introduction : i ) z is a std. normal r.v which follows…

Q: Compute the range and sample standard deviation for strength of the concrete (in psi). 3910, 4050,…

A: Range-The difference between the highest value and the lowest values among the given set of values…

Q: II. Matching Type: Determine each of the following areas of z-valueunder the normal curve from…

A: Required probability is P(0.46<Z<2.58)

Q: Use the standard normal table to find the z-score that corresponds to the cumulative area 0.9195. If…

A: Let Z be the random variable standard normal distribution with mean 0 and standard deviation 1.

Q: Find the area of the shaded region under the standard normal curve. If convenient, use technology to…

A: The area under the shaded region of the normal curve need to be obtained.

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0…

A:

Q: Use the standard normal table to find the​ z-score that corresponds to the given percentile. If the…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: For some positive value z, the probability that a standard normal variable is between -1 and z is…

A: is the standard normal variable that is .