Statistics and Probability

Mathematics: AA HL

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Mathematics: AA HL

Available time 20 Minute(s)

The random variable X has a binomial distribution with parameters n and p.

Statistics and Probability

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Available time 20 Minute(s)

01. Question

Level Medium

Maximum Mark 7

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The random variable X has a binomial distribution with parameters n and p.
It is given that E(X)= 6.5.

(a). Find the least possible value of n.

[Marks: 3]

It is further given that $P (X \leq 1) = 0.004534,$ correct to 4 significant figures.

(b). Determine:

(i) the value of n

[Marks: 3]

(ii) the value of p.

[Marks: 2]

End Test