You're viewing 1 free preview question for Maths AA HL — subscribe to unlock 64 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Binomial Theorem · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SBinomial expansion and coefficientss6 marksPaper 2~9 min

A pharmaceutical company is developing a new drug. In a clinical trial, the probability that a patient experiences a particular side effect is

p = 0.15

. A random sample of

n

patients is selected, where

n \geq 2

(a)

Write down an expression, in terms of

n

, for

P(X = 2)

, the probability that exactly

2

patients experience the side effect. [1 mark]

(b)

Show that the condition

P(X = 2) > 0.25

is equivalent to

n(n-1)(0.85)^{n-2} > 22.2\overline{2}

[2 marks]

(c)

By testing integer values of

n

, find the smallest value of

n

for which

P(X = 2) > 0.25

. [3 marks]

Solutions

Questions 2-65

Unlock these questions with Premium

That's every free question here — 1 of 65.

+64 more questions, plus Mock Papers & Worksheets, are waiting in Premium.