Question

12. The New York City 10k race finish times are normally distributed with mean of 61...

12. The New York City 10k race finish times are normally distributed with mean of 61 minutes and a standard deviation of 9 minutes.

  1. Determine the percentage of runners who have a time between 50 and 70 minutes.
  2. Determine the percentage of runners who have finishing times of 75 minutes or less.
  3. Obtain the 40th percentile of the finishing times.
  4. Find the 8thdecile (8 * 0.10) of the finishing times.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem 2: Assume that the finishing times in a New York City 10-kilometer road race are...
Problem 2: Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. a) What percentage of the finishing times exceeds 72 minutes? b) What percentage of the finishing times is between 52 and 70 minutes? c) Find the value of the 95th percentile, P95, for this random variable. d) Use the information from part (c) to circle the correct choice and...
The times of the finishers in the New York City 10km run are normally distributed with...
The times of the finishers in the New York City 10km run are normally distributed with a mean of µ minutes and standard deviation of 9 minutes. It is known that 80% of finishers have a finish time greater than 53.44 minutes. Let X denote the finishing time for finishers in this race. Find the mean finishing time (µ). Note: Provide the R code and output for the z-value or finding the area under the standard normal curve. In 2013...
This week, a very large running race (5K) occured in Denver. The times were normally distributed,...
This week, a very large running race (5K) occured in Denver. The times were normally distributed, with a mean of 21.02 minutes and a standard deviation of 2.24 minutes. Report your answers accurate to 2 decimals a. What percent of runners took 23.79 minutes or less to complete the race?  % b. What time in minutes is the cutoff for the fastest 11.38 %?  Minutes c. What percent of runners took more than 15.4 minutes to complete the race?
12. In a recent race, the finish times formed a normal distribution with a mean of...
12. In a recent race, the finish times formed a normal distribution with a mean of 210 minutes and a standard deviation of 25 minutes.       a)Find the z-score of Jose, who finished in 190 minutes.       b)Find the z-score of Estella, who finished in 270 minutes       c) What is the probability that a racer finished in less than 180 minutes?       d)What is the probability a racer finished between 190 and 225 minutes?
This week, a very large running race (5K) occured in Denver. The times were normally distributed,...
This week, a very large running race (5K) occured in Denver. The times were normally distributed, with a mean of 19.12 minutes and a standard deviation of 4.45 minutes. Report your answers accurate to 2 decimals a. What percent of runners took 19.4 minutes or less to complete the race? % b. What time in minutes is the cutoff for the fastest 8.96 %? Minutes
1. According to an article in The New York Times (5/12/2014), 19.3% of New York City...
1. According to an article in The New York Times (5/12/2014), 19.3% of New York City adults smoked in 2013. You believe that fewer adults smoke now than they did ten years ago. Suppose you conduct a survey to determine this year’s rate. You randomly sample 70 New York City residents and discover that only 12 people in this group smoke. Do you have enough evidence to suggest that the percentage of smokers in New York City (as a whole—the...
The volume of soft drink in plastic bottles is a normal random variable with mean 16...
The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and a standard variable deviation 0.6 ounce. For all possible random samples of 25 bottles, what is the shape of the sampling distribution of the sample means? What is the likelihood that in a random sample of 25 bottles the mean volume is more than 14.5 ounces? What is the probability that in a random sample of 25 bottles the mean volume is...
Question 6 (1 point) Suppose that one-way commute times in a particular city are normally distributed...
Question 6 (1 point) Suppose that one-way commute times in a particular city are normally distributed with a mean of 26.75 minutes and a standard deviation of 2.216 minutes. Would it be unusual for a commute time to be below 37 minutes? Question 6 options: 1) It is impossible for this value to occur with this distribution of data. 2) The value is unusual. 3) The value is not unusual. 4) We do not have enough information to determine if...
1. Suppose that the time it takes you to drive to work is a normally distributed...
1. Suppose that the time it takes you to drive to work is a normally distributed random variable with a mean of 20 minutes and a standard deviation of 4 minutes. a. the probability that a randomly selected trip to work will take more than 30 minutes equals: (5 pts) b. the expected value of the time it takes you to get to work is: (4 pts) c. If you start work at 8am, what time should you leave your...
Parts A-D A) To be eligible for further consideration, applicants for certain civil service positions must...
Parts A-D A) To be eligible for further consideration, applicants for certain civil service positions must first pass a written qualifying examination on which a score of 85 or more must be obtained. In a recent examination, it was found that the scores were normally distributed with a mean of 65 points and a standard deviation of 10 points. Determine the percentage of applicants who passed the written qualifying examination. ________% B)The scores on an economics examination are normally distributed...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT