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Discrete Probability Distribution, Binomial Distribution - IB Maths HL

How can we find the probability when

Thanks

How can we find the probability when

Thanks

- lora
**Posts:**0**Joined:**Wed Apr 10, 2013 7:36 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!!

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
**Posts:**0**Joined:**Mon Jan 28, 2013 8:04 pm

3 posts
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