A Run is a 5 kilometer race. The time taken for each runner to complete the race was recorded and was found to be normally distributed with a mean time of 28 minutes and a standard deviation of 5 minutes. A runner who completed the race is chosen at random. Write down t

A Run is a 5 kilometer race. The time taken for each runner to complete the race was recorded and was found to be normally distributed with a mean time of 28 minutes and a standard deviation of 5 minutes. A runner who completed the race is chosen at random. Write down t

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: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: According to the given information, we have Mean = 5 minutes Standard deviation = 1 minutes

Q: A student takes a multiple choice exam with 10 questions, each with four possible selections for the…

A: Given that, A student takes a multiple choice exam with 10 questions, each with four possible…

Q: Assume the readings on thermometers are normally distributed with a mean of 0 degrees Celsius and a…

A: We have to find out given probability..

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

Q: The length of time it takes college students to find a parking spot in the library parking lot…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs300⁢lbs…

A: The objective of this question is to find the probability that the weight of a randomly selected…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean…

A: Given information- Population mean, µ = 570 hours Population variance, σ2 = 625 So, Population…

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: Assume that the readings on thermometers are normally distributed with a mean of 0 degrees Celsius…

A: We have given that Mu= 0 , sigma =1 X~ N ( 0, 1) Zscore=(x-mu)/sigma

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: The average length of crocodiles in a swamp is 11 feet. If the lengths are normally distributed with…

A: Given: μ = 11 σ = 1.5 Formula Used: Z = X-μσ

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Mean=M=6, Standard deviation=S=3X~N(M=6, S=3)

Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

Q: Let X = number of miles a family travels for summer vacation. X follows a normal distribution with a…

A: From the given information,X follows a normal distribution with a mean of 311 miles and standard…

Q: A survey indicates that for each trip to the supermarket, a shopper spends an average of 45 minutes…

A: Given that, The lengthsnof time spent in the store are normally distributed and are represented by…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7…

Q: Trucks in a delivery fleet travel a mean of 120120 miles per day with a standard deviation of 3333…

A: Given that, Mean (m)=120 Standard deviation (sd) = 33 The mileage per day is distributed normally.…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard…

A: Given that adults have IQ scores that are normally distributed with, Mean = 103.6 Standard deviation…

Q: Assume IQ scores for adults are normally distributed with a mean of 100 and a standard deviation of…

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: Denote X as the life of a randomly selected light bulb.

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

A: From the provided information,

Q: Solve the following problem and show your complete solutions. Explain your answer for better…

A: The length of time that a phone will work before it needs charging is normally distributed with mean…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: Here, mean is 5 and standard deviation is 3. We will use z-standard normal distribution.

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: The following information has been provided: The population mean is μ=600. The population standard…

Q: Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3030…

Q: 1.2, 2.7, 5.3, 3.4, 4.1,4.6, 3.3, 2.6. Find the standard deviation

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

Q: The length of time, L hours, that a phone will work before it needs charging is normally distributed…

A: The length of time that a phone will work before it needs charging is normally distributed with Let…

Question

Write down the probability that the runner completed the race in more than 28 minutes. Solve using normal distribution laws

Video Video

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information :

VIEW

Step 2: Probability that the runner completed the race in more than 28 minutes

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the standard deviation of the waiting time is 22 minutes. Find the probability that a person will wait for less than 99 minutes. Round your answer to four decimal places.
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs200⁢lbs and the mean steer weight is 1000lbs1000⁢lbs. Find the probability that the weight of a randomly selected steer is between 13601360 and 1420lbs1420⁢lbs. Round your answer to four decimal places.
O > At a certain restaurant in Ohio, the number of minutes that diners spend at the table has a major impact on the profitability of the restaurant. Suppose the average number of minutes that diners spend at a table for dinner at the restaurant is 95 minutes with a standard deviation of 17 minutes. Assume the number of minutes diners spend at their table follows the normal probability distribution. Complete parts a through d. a. Calculate the probability that the average number of minutes that diners spend at their table for dinner will be less than 90 minutes using a sample size of 9 tables. (Round to three decimal places as needed.) b. Calculate the probability that the average number of minutes that diners spend at their table for dinner will be less than 90 minutes using a sample size of 20 tables. (Round to three decimal places as needed.) c. Calculate the probability that the average number of minutes that diners spend at their table for dinner will be less than 90 minutes using…
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
Trucks in a delivery fleet travel a mean of 100100 miles per day with a standard deviation of 3535 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 148148 miles in a day. Round your answer to four decimal places.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability that the applicant's rating will be between 205 and 275. (Round your answer to 4 decimal places.)
The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
A particular fruit's weights are normally distributed, with a mean of 455 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 434 grams and 443 grams? Use GeoGebra. Round to 4 places.
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours. Round your answer to four decimal places.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?