Skip to content

Course home

Sign up

2 Unit AS 2: Applied Mathematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282
Question 51

A biased spinner can only land on one of the numbers 1, 2, 3 or 4. The random variable X X\,X represents the number that the spinner lands on after a single spin and P(X=r)=P(X=r+1)P(X = r) = P(X = r + 1)P(X=r)=P(X=r+1) for r=1,3r = 1, 3r=1,3

Given that P(X=1)=0.16P(X = 1) = 0.16P(X=1)=0.16

a.

find the complete probability distribution for XXX.

[2]
b.

Mark spins the spinner 50 times. Find the probability that the spinner lands on the number 4 more than 20 times.

[3]
c.

The random variable Y=8−3XY = 8 - 3XY=8−3X. Find P(Y+X≥1)P(Y + X \geq 1)P(Y+X≥1)

[3]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

Question bank