Math Is Fun Forum

MKNB

Guest

Probability

Question:                     
a)         A pair dice is rolled , what is the probability of getting sum of
            1) Even Number
            2) A number greater than 2
            3) both dice show the same outcome

b)         In the following frequency distribution 'x' shows the number of machine breakdowns and 'f'  shows the frequency of occurrence of 'x'.Construct the probability distribution from the following data.
x    0  1  2    3    4   5   6  7  8  9 
f     5  8  9  11  14  10  7  4  3  1

Also find probability
1)  X>6
2)  X<3
3)  X>7
STEP BY STEP.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Probability

Hi MKNB,

a) 1) 18/36 = 1/2. Sample space : (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3) (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) = 36.
Even numbers sum :  (1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), and (6,6) = 18.
Sum of even number = 18/36 = 1/2.
a) 2) Sample space : (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3) (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) = 35.
A number greater than 2 : 35/36.
a) 3) Both dice show the same outcome = (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
Probability = 6/36 = 1/6.

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zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Probability

For part b, calculate how many breakdowns occur in total. How can you use this to calculate, say, the probability that no breakdowns occur?

Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

Re: Probability

  For part b, calculate how many breakdowns occur in total. How can you use this to calculate, say, the probability that no breakdowns occur?

Solve this .

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Malik

Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

Re: Probability

??

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Malik

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Probability

How many breakdowns occur in total?

Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

Re: Probability

How many breakdowns occur in total?

f     5  8  9  11  14  10  7  4  3  1   

By Sum Of frequency =72

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Malik

monie27

Member

Registered: 2019-03-13

Posts: 5

Re: Probability

Good morning everyone. I also have a question probability related.

The information is as follow:
In 1938, the first bottling company opened in Johannesburg and the Coca-Cola Export Corporation set up a permanent operation in South Africa, with plants being built in Auckland Park and Durban. The first bottling operation to open in Cape Town was in Paarden Eiland in 1940. Today, over 12 000 people in South Africa, work for Coca-Cola. The inspection division of Peninsula Beverages Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in their 2-litre bottles at the local bottling plant in Cape Town. The bottling plant has informed the inspection division that the standard deviation for 2-litre bottles is 0.05 litres. A random sample of 100 2-litre bottles obtained from this bottling plant indicates a sample average of 1.99 litres.

a)    Find a 95% confidence interval for the population mean (u).        
b)    Calculate the length of the confidence interval

Is there anyone that will be able to assist?

Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

Re: Probability

Reply ??

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Malik