/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 80 Suppose that it is past noon on ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Suppose that it is past noon on a delivery day, The probability that a person must wait at least one and half more hours is;

a.14

b. 12

c. 34

d.38

Short Answer

Expert verified

The probability that a person must wait at least one and half more hours is: 14.

Therefore, option "a" is the correct answer.

Step by step solution

01

Given information

Given in the question that, the time to wait a particular rural bus is distributed as uniformly from0to75minutes.

02

Explanation 

According to the information, we observed that the given distribution will follow the uniform distribution as follow:

X~U(0,75)

On a delivery day, the waiting time will be 12 P.M to 2. P.M.

Therefore, the probability that a person must wit one and half more hours is given as:

P(X>1.5)=1-(X≤1.5)

=1-1.5-02

=520

=14

Therefore, option 'a' is the correct answer.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The length of time a particular smartphone's battery lasts follows an exponential distribution with a mean of ten months. A sample of 64 of these smartphones is taken.

What is the distribution for the total length of time 64 batteries last?

Determine which of the following are true and which are false. Then, in complete sentences, justify your answers.

a. When the sample size is large, the mean of X¯is approximately equal to the mean of X.

b. When the sample size is large, X¯is approximately normally distributed.

c. When the sample size is large, the standard deviation of X¯is approximately the same as the standard deviation of X.

M&M candies large candy bags have a claimed net weight of 396.9g. The standard deviation for the weight of the

individual candies is 0.017g. The following table is from a stats experiment conducted by a statistics class.

RedOrangeYellowBrownBlueGreen
0.751
0.735
0.883
0.696
0.881
0.925
0.841
0.895
0.769
0.876
0.863
0.914
0.856
0.865
0.859
0.855
0.775
0.881
0.799
0.864
0.784
0.8060.854
0.865
0.966
0.852
0.824
0.840
0.810
0.865
0.859
0.866
0.858
0.868
0.858
1.015
0.857
0.859
0.848
0.859
0.818
0.876
0.942
0.838
0.851
0.982
0.868
0.809
0.873
0.863


0.803
0.865
0.809
0.888


0.932
0.848
0.890
0.925


0.842
0.940
0.878
0.793


0.832
0.833
0.905
0.977


0.807
0.845

0.850


0.841
0.852

0.830


0.932
0.778

0.856


0.833
0.814

0.842


0.881
0.791

0.778


0.818
0.810

0.786


0.864
0.881

0.853


0.825


0.864


0.855


0.873


0.942


0.880


0.825


0.882


0.869


0.931


0.912





0.887

The bag contained 465candies and the listed weights in the table came from randomly selected candies. Count the weights.

a. Find the mean sample weight and the standard deviation of the sample weights of candies in the table.

b. Find the sum of the sample weights in the table and the standard deviation of the sum of the weights.

c. If 465M&Ms are randomly selected, find the probability that their weights sum to at least 396.9.

d. Is the Mars Company’s M&M labeling accurate?

A uniform distribution has a minimum of six and a maximum of ten. A sample of 50is taken.

Find the 80th percentile for the sums.

Suppose that the duration of a particular type of criminal trial is known to have a mean of 21days and a standard deviation of seven days. We randomly sample nine trials.

a. In words,ΣX=______________

b.ΣX~_____(_____,_____)

c. Find the probability that the total length of the nine trials is at least 225days.

d. Ninety percent of the total of nine of these types of trials will last at least how long?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.