Binomial Conditions

State two conditions for a situation to be modelled by a binomial distribution

• Independent trials and has fixed probabilities

• Dependent trials and has fixed probabilities

• Independent trials and has not fixed probabilities

• Dependent trials and has not fixed probabilities

On any school day, there is a probability of 0.3 that Jim’s parent is picking him up quite late. Nine days are chosen at random. Find the probability that Jim’s parent is late on more than 7 days.

Biscuits are sold in packet of 10. There is a constant probability that any biscuit is broken, independently of other biscuits. the mean number of biscuits in packet has been found to be 2. find the probability of any biscuit is broken.

• 0.6

• 0.8

• 0.2

• 0.4

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What is the third term in the expansion of (x + 4)⁵?

• 640 x²

• 160 x³

• 4 x⁵

• 64 x³

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³

• 3240

• 262440x³

• 262440

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4

• -24

• -96

• 216

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625

• 16x⁴ + 160x³ +600x² +1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x +625

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³

• 3240

• -262440x³

• -262440

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x + 625

• 16x⁴ + 160x³ + 600x² + 1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x + 625