Question

The time spent waiting in the line is approximately normally distributed. The mean waiting time is...

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the variance of the waiting time is 9. Find the probability that a person will wait for less than 7 minutes. Round your answer to four decimal places.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer:

To determine the probability that a person will wait for less than 7 minutes

Given,

mean = = 5

variance = = 9

standard deviation = = 3

P(x < 7) = P((x - ) / )

substitute values

P(x < 7) = (P < (7 - 5) / 3)

= P(z < 0.667)

= 0.7476

Probability = 0.7476

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
The time spent waiting in the line is approximately normally distributed. The mean waiting time is...
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for more than 1 minute. Round your answer to four decimal places.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is...
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the standard deviation of the waiting time is 1 minute. Find the probability that a person will wait for more than 7 minutes. Round your answer to four decimal places
The MAX light rail in Portland, OR has a waiting time that is normally distributed with...
The MAX light rail in Portland, OR has a waiting time that is normally distributed with a mean waiting time of 4.22 minutes with a standard deviation of 1.7 minutes. A random sample of 35 wait times was selected, what is the probability the sample mean wait time is under 3.74 minutes? Round answer to 4 decimal places
The time, in minutes spent texting in class, is approximately normally distributed with a mean of...
The time, in minutes spent texting in class, is approximately normally distributed with a mean of 6.2 minutes and a standard of 1.6 minutes. The distance, in city blocks, that a student must travel to get from one class to the next has a Chi-squared distribution with 4 degrees of freedom. (The standard city block is approximately 400 feet long) 1) What is the probability that the average time spent texting in a class of 12 random students is between...
Sam often runs 5Ks for time. His times are approximately normally distributed with a mean time...
Sam often runs 5Ks for time. His times are approximately normally distributed with a mean time of 26 minutes and a standard deviation of 2.3 minutes. Using the normalcdf function on your graphing calculator find the probability that Sam’s time is greater than 30 minutes (express your answer as a decimal rounded to three places).
Wendy’s drive through waiting time is approximately normally distributed with a mean of 139 seconds and...
Wendy’s drive through waiting time is approximately normally distributed with a mean of 139 seconds and a standard deviation of 25 seconds. What proportion of wait times are between 100 and 150 seconds? What is the cut off wait time for the bottom 25%?
The amount of time that a customer spends waiting at an airport check-in counter is a...
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.1 minutes and standard deviation 1.6 minutes. Suppose that a random sample of n=50 customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes Round your answers to four decimal places (e.g. 0.9876).
Suppose the mean and the standard deviation of the waiting times of passengers at the bus...
Suppose the mean and the standard deviation of the waiting times of passengers at the bus station near the Cross Harbour Tunnel are 11.5 minutes and 2.2 minutes, respectively. A) Assume the waiting times are normally distributed. 80% of the passengers at the bus station are expected to wait more than k minutes. Find k. B) For a random sample of 36 passengers, find the probability that their mean waiting time will be less than 11 minutes. Does your calculation...
The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a...
The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a mean of 22 minutes and a standard deviation of 7 minutes. Find the probability that a randomly selected athlete uses a stairclimber for​ (a) less than 17 ​minutes, (b) between 22 and 31 ​minutes, and​ (c) more than  30 minutes. ​(a) The probability that a randomly selected athlete uses a stairclimber for less than 17 minutes is = ​(Round to four decimal places as​ needed.)...
Let x denote the time it takes to run a road race. Suppose x is approximately...
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 205 minutes? Round your answer to four decimal places. P= #2 Let x denote the time it takes to run a road race. Suppose x is approximately...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT