Math Is Fun Forum

jacks

Member

Registered: 2012-11-21

Posts: 132

probability

A is one of the 6 horses entered for a race and is to be ridden by one of two jockeys B and C.

It is  2 to 1 that B rides A. In which case all the horses are equal likely to win .If C  rides A, his chance is trebled.

Then the odd against his winning are.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: probability

Is it the odd against C winning or A winning?
"his chance is trebled" Is it relative to B or overall against other 5?

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: probability

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

MellyBigD

Member

Registered: 2018-03-13

Posts: 10

Re: probability

Can someone please help me with these prac exercises, It's due today and I don't know where to get started.

A well-known business school in Cape Town conducted a survey in 2013 amongst its MBA applicants to determine whether students apply to only one business school.  A sample of 2018 students was chosen and the following results were obtained: (rounded to 3 decimals)

Age    Did you apply to more than one school?    
    Yes    No    Total
23 and under    207    201    408
24-26    299    379    678
27-30    185    268    453
31-35    66    193    259
36 and over    51    169    220
Total    808    1210    2018

1.1) What is the probability that a randomly selected applicant is younger than 27                     [1]

1.2) What is the probability that a randomly selected applicant is 24-26 years old given that he/she did not apply to more than one school?                                                                 [3]

1.3) What is the probability that a randomly selected applicant is 24-26 years old or did not apply to more than one school?                                                                                       [3]

1.4) Is the number of schools applied to independent of age? Let A = “Yes” and B = “23 and under”.    [3]

                                       

Question 2 [10 Marks]

The probability that a flight departs on time in 0.83 and the probability that it arrives on time is 0.92.  The probability that the flight arrived on time given that it departed on time is 0.94 (rounded off to two decimals).

2.1) What is the probability that the flight did not arrive on time?                                           [1]

2.2) What is the probability that the flight arrived and departed on time?                             [3]

2.3) What is the probability that the flight departed on time given that it has arrived on time?        [3]

2.4) What is the probability that the flight either arrived or departed on time?                    [3]

Question 3 [10 Marks]

Guess clothing stores recorded the buying behaviour of their customers over the last decade (2004 to 2014). They established that the probability that a customer will buy a pair of Guess jeans is about 0.7. A customer buys a Guess top 30% of the time given that a pair of Guess jeans was purchased, but only 15% of the time given that a pair of Guess jeans was not purchased.

3.1) Explain the concepts of:
3.1.1) Probability Addition Law                                    (2)

3.1.2) Probability Multiplication Law                                                 (2)

3.2) Calculate the probability that a randomly selected person buys a pair of Guess jeans and a Guess top    (rounded off to two decimals).                                           (3)

3.3) Calculate the probability that a randomly selected person buys a Guess top but no pair of Guess jeans (rounded off to two decimals).                                          (3)

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: probability

Can someone please help me with these prac exercises, It's due today and I don't know where to get started.

A well-known business school in Cape Town conducted a survey in 2013 amongst its MBA applicants to determine whether students apply to only one business school.  A sample of 2018 students was chosen and the following results were obtained: (rounded to 3 decimals)

Age    Did you apply to more than one school?    
    Yes    No    Total
23 and under    207    201    408
24-26    299    379    678
27-30    185    268    453
31-35    66    193    259
36 and over    51    169    220
Total    808    1210    2018

1.1) What is the probability that a randomly selected applicant is younger than 27                     [1]

(408+678)/2018=53.8%

1.2) What is the probability that a randomly selected applicant is 24-26  old given that he/she did not apply to more than one school?                                                                 [3]

379/1210

*snip*

                    

https://onlinecourses.science.psu.edu/s … rt/html/11

        (3)

Hi, spamming us with a multitude of problems is not beneficial to us. Please, if you have any questions, say it in just one thread.

Please read the statsitics link, contaning probability independence and probability rules.

Learn Unionsand intersetions.

Last edited by Mathegocart (2018-03-14 00:03:27)

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He will be sorely missed.

MellyBigD

Member

Registered: 2018-03-13

Posts: 10

Re: probability

Thanks, I will go through the theory.