Binomial Distribution

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Binomial Distribution

Postby lora » Sat Apr 20, 2013 5:28 pm

Discrete Probability Distribution, Binomial Distribution - IB Maths HL


How can we find the probability when


Thanks
lora
 
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Re: Binomial Distribution

Postby lily » Sat Apr 20, 2013 5:46 pm

IB Mathematics HL – Discrete Probability Distribution, Binomial Distribution

The Binomial distribution can be used in situations in which a given experiment (trial) is repeated a number of times. For the binomial model to be applied the following four criteria must be satisfied
- the trial is carried out a fixed number of times .
- the outcomes of each trial can be classified into two ‘types’ conveniently named success or failure.
- the probability of success remains constant for each trial.
- the individual trials are independent of each other.

If a discrete random variable X follows a binomial distribution () with is the number of trials and the probability of a success, then the probability distribution function is given by the following formula:




Therefore,



Using GDC Casio fx-9860G SD
MAIN MENU > STAT>DIST(F5)>BINM>Bpd>

Setting Data: Variable
x :5
Numtrial:12
p :0.2
Execute

We find that the probability is




Hope these help!!
lily
 
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Re: Binomial Distribution

Postby lora » Sat Apr 20, 2013 6:26 pm

Thanks Lily!!
lora
 
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Joined: Wed Apr 10, 2013 7:36 pm


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