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The Binomial Distribution

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123
Question 1
55%

Hiki has a biased dice.

The probability that the dice will land on a 6 is 0.2.

Hiki is going to roll the dice 5 times.

a.

Work out the probability that the dice will land on a 6 exactly 3 times.
Give your answer correct to 3 decimal places.

You may use (p+q)5=p5+5p4q+10p3q2+10p2q3+5pq4+q5(p + q)^5 = p^5 + 5p^4q + 10p^3q^2 + 10p^2q^3 + 5pq^4 + q^5(p+q)5=p5+5p4q+10p3q2+10p2q3+5pq4+q5.

[3]
b.

Work out the probability that the dice will land on a 6 at least once.
Give your answer correct to 3 decimal places.

[2]

The Binomial Distribution Questions

  1. GCSE
  2. /Statistics
  3. /The Binomial Distribution