Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2019-04-28 19:35:38

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.

#2 2019-04-28 20:39:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

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.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3 2019-04-28 21:10:36

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
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?

Offline

#4 2019-05-02 19:47:18

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 746

Re: Probability

zetafunc   wrote:

  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 .


Malik

Offline

#5 2019-05-03 19:23:21

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 746

Re: Probability

??


Malik

Offline

#6 2019-05-04 04:02:01

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: Probability

How many breakdowns occur in total?

Offline

#7 2019-05-07 01:07:40

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


Malik

Offline

#8 2019-05-07 18:33:29

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?

Offline

#9 2019-05-10 00:44:21

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 746

Re: Probability

Reply ??


Malik

Offline

Board footer

Powered by FluxBB