šŸ·ļø LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION ā†’
Log in
Statistics
1
answer
0
watching
20
views

A study of the time spent shopping in a supermarket for 20 specific items showed an approximately uniform distribution between 20 minutes and 30 minutes. a. What is the probability that the shopping time will be between 24 and 26 minutes? b. What is the probability that the shopping time will be less than 27 minutes? c. What are the mean and standard deviation of the shopping time? a. The probability that the shopping time will be between 24 and 26 minutes is (Type an integer or a decimal.) . b. The probability that the shopping time will be less than 27 minutes is (Type an integer or a decimal.) c. The mean of the given uniform distribution is u=17 (Type an integer or a decimal.) The standard deviation of the given uniform distribution is o = (Round to four decimal places as needed.)

Watch
1
answer
0
watching
20
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Get unlimited access
Already have an account? Log in
Share

Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

The queuing time at an airline check-in has a population mean h = 13 minutes and variance o2 = 16 minutes2. Suppose that n = 27 passengers were randomly selected from this population. They were interviewed and reported the queued times. Let xĢ„ defines the sample mean of n observations. Answer the followings:

a) Define your random variable X.

b) Define the sampling distribution of sample mean (indicate a reason and give the name of the distribution, the parameters and sketch it.

c) What is the probability that a sample mean is at most 11 minutes. Please skecth the problem and show all details of your answer.

d) Suppose that for n = 27 passengers, the sample mean is observed as xĢ„= 10 minutes. Based on part c, can we claim that the population mean queuing time is less than 13 minutes.

e) Construct a 95% acceptance region for sample mean of queing time (i.e., u + za x f) Interpret the result obtained in parte and skecth the control chart.

1. In its standardized form, the normal distributionĀ 

(a) has a mean of 0 and a standard deviation of 1.

(b) has a mean of 1 and a variance of 0.

(c) has an area equal to 0.5.

(d) cannot be used to approximate discrete probability distributions.

Ā 

2. For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770.

The value of Z is

(a) 0.18

(b) 0.81

(c) 1.16

(d) 1.47

Ā 

3. For some value of z, the probability that a standard normal variable is below z is 0.2090. The value of Z isĀ 

(a) -0.81

(b) -0.31

(c) 0.31

(d) 1.96

Ā 

4. For some positive value of X, the probability that a standard normal variable is between 0 and +2x is 0.1255.

The value of X isĀ 

(a)Ā  0.99

(b) 0.40

(c) 0.32

(d) 0.16

Ā 

5. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 35. minutes and a standard deviation of minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

(a) 0.3551

(b) 0.3085

(c) 0.2674

(d) 0.1915Ā 

"Time headway" in traffic flow................

"Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X=the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a particular traffic environment, the distribution of time headway has the following form.

Ā 

(a) Determine the value of k for which f(x) is a legitimate pdf.

(b) Obtain the cumulative distribution function.

(c) Use the cdf from (b) to determine the probability that headway exceeds 2sec. (Round your answer to three decimal places).

(d) Obtain the mean value of headway and the standard deviation of headway.(Round your answers to three decimal places).

(e) What is the probability that headway is within 1 standard deviation of the mean value? (Round your answr to three decimal places).

Weekly leaderboard

Home
Homework Help 3,900,000
Statistics 10,000
Start filling in the gaps now
Log in