A desktop PC uses 120 watts of electricity per hour based on 4 hours of use per day. Assume the variable is approximately normally distributed and the standard deviation is 6. If 500 PCs are selected, approximately how many will use less than 106 watts of power?

A desktop PC uses 120 watts of electricity per hour based on 4 hours of use per day. Assume the variable is approximately normally distributed and the standard deviation is 6. If 500 PCs are selected, approximately how many will use less than 106 watts of power?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.60 to the left of…

Q: A random sample of 30 alloy of TIN and LEAD contains, on average, 100 grams of LEAD with a standard…

A: From the provided information, it is given that: x¯ (sample average)=100n (sample size)=30s (sample…

Q: A city's mean minimum daily temperature in February is 28°F. Suppose the standard deviation of the…

A: Solution: Let X be the minimum temperature in February is approximately normal distribution with…

Q: A particular fruit's weights are normally distributed, with a mean of 771 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: For numbers 15-24, consider the following. The joint pmf of X and Y are given in the table below: Y…

Q: According to a recent survey, Americans were expected to spend an average of 985.50 hours watching…

A: Given information is : According to a recent survey, Americans were expected to spend an average of…

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

Q: The mean life of pairs of shoes is 40 months with a standard deviation of 8 months If the life of…

A: The random variable X is the life of shoes It is normally distributed. The mean life of the pair of…

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A: The mean percent of fat calories that a person consumes each day μ= 35 Standard deviation σ = 10…

Q: weight of 10 persons needs to be greater than 190.29 xceed the weight of the elevator. (d) What is…

A: It is given that Mean, μ = 155 Standard deviation, σ = 29 Sample size, n = 16 Weight limit = 2500

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a…

A: Mean = 1025 Standard deviation = 85 Raw score = 950

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: The random variable X is the average of the 49 races. The mean is 142, and standard deviation is 13.…

Q: 27. If {Xn, n ≥ 1} are independent random variables, show that the radius of convergence of the…

A: Answer :Consider ∑nXnzn where Xn = Xn(ω) is an independent (complex) random variable and z is…

Q: From 1776-1800, the average age of first marriage for a male in Western Europe was 26.4 years, with…

A: The question is about normal distributionGiven :Average age of first marriage for males ( ) = 26.4…

Q: In a herd of longhern cattle the mean horn length is 52cm and h2 is 0.2. Predict the mean horn…

A: Heritability is a measure of additive effects of genes, it tells whether the observation variation…

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

A: Introduction: Denote X as a randomly selected reading on the thermometer; X has a normal…

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

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: A psychologist finds that the intelligence quotients of a group of patients are normally…

A: According to the provided information,

Q: A particular fruit's weights are normally distributed, with a mean of 702 grams and a standard…

A: Introduction: Define X as the random variable of interest here, denoting the weight of a randomly…

Q: Both data sets have a mean of 175. One has a standard deviation of 16, and the other has a standard…

A: The stem-and-leaf plots are given and the one has a standard deviation of 16 and other has a…

Q: The average american man consumes 9.9 grams of sodium each day.Suppose that the sodium consumption…

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

Q: The heights of the women in a particular town are normally 143 cm and 168 cm. Using 95.4% of the…

Q: Scenario 2: The breaking strength of cables produced by a manufacturer have a mean of 1800 lb and a…

A: Claim : the breaking strength can be increased.

Q: ores are normally distributed with a mean of 1518 and a standard deviation of 325. If 1 SAT score…

A: Given: μ=1518, σ=325 The corresponding z-value needed to be computed is: If 1 SAT score is randomly…

Q: Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 75…

Q: The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption…

A: Normal distribution, is a probability distribution that is symmetric about the mean, showing that…

Q: Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8…

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: The mean life of a battery is 55 hours with a standard deviation of 6 hours. The manufacturer…

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a…

A: Given :- A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026…

Q: If you pick 2 fruits at random, then 7% of the time, their mean weight will be greater than how many…

A: Let X denote the fruit's weight. Given that X follows N(mean = 495, SD = 32) Sample size n = 2

Q: Suppose the distributions of arrival and service times were normal instead of exponential. Let the…

A: The objective of this question is to estimate the long-run average number of people that would be in…

Q: In a county male height is normally distributed with a mean of 175 cm and a standard deviation of 6…

A: Given that. X~N( μ , ?^2 ) μ=175 , ?=6 Z-score =( x - μ )/?

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: From the provided information, Mean (µ) = 0 Standard deviation (σ) = 1.00 X~N (0, 1) Here X be a…

Q: Round each z-score to the nearest hundredth. A data set has a mean of x = 4079 and a standard…

Q: The residents of Toledo produce on average 600 pounds of solid waste each year, and the standard…

A: Obtain the weight range that contains at least 75% of all residents’ annual garbage weights. The…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: At a hair salon, customers arrive at the rate of 3 customers per hour. The standard deviation of the…

A: Standard Deviation: A standard deviation is a unit of measure of data spread in proportion to the…

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Assume that at the average age of a population of wild turtles is normally distributed with mean age 15 years, and standard deviation 3 years. You see one of the turtles in the park. What is the age of a turtle who is at the 54 percentile? Round to two decimal places.
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible
Consider yourself as a Math tutor to Grade 11 students. Study carefully the examples of real-life problems involving normal distribution provided in the book. Formulate one real-life problem involving normal distribution. Present the given information, identify the unknown, and solve the problem presented. State the real-life problem and give the step by step solution in solving the said problem.
calculate the standard deviation for 3 plants: Plant 1 - 5cm Plant 2 - 6cm Plant 3 - 5cm
A data set has a mean of 40 and standard deviation of 8. -2 standard deviation = -1 standard deviation = +1 standard deviation = +2 standard deviation =
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 3.4% of the thermometers are rejected because they have readings that are too high and another 3.4% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. O A. O C. O B. C Q 18 1 The cutoff values are degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.) O D.
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.5% of the thermometers are rejected because they have readings that are too high and another 2.5% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. O A. O B. C. OD.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 9-percentile. This is the temperature reading separating the bottom 9% from the top 91%.
A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.
Give me detailed and accurate solution
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P61, the 61-percentile. This is the temperature reading separating the bottom 61% from the top 39%.P61 =
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 63 0 miles hour miles tickets for cars with speeds exceeding 80 . The records show that exactly 5% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. hour miles hour The highway patrol's policy is to issue