Skip to content

Course home

Sign up

2 Statistics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511
Question 179

A botanical research team is investigating the presence of two rare genetic markers, G1 G_1\,G1​ and G2G_2G2​, in a specific orchid population. The events A A\,A and B B\,B are defined as an orchid having marker G1 G_1\,G1​ and G2 G_2\,G2​ respectively, where

P(A)=p,P(B)=q,P(A∪B)=0.7,P(B∣A)=0.2 P(A) = p, \quad P(B) = q, \quad P(A \cup B) = 0.7, \quad P(B|A) = 0.2 P(A)=p,P(B)=q,P(A∪B)=0.7,P(B∣A)=0.2
a.

Show that

4p+5q=3.5 4p + 5q = 3.5 4p+5q=3.5
[3]
b.

A third genetic marker, G3G_3G3​, is represented by event CCC. It is known that B B\,B and C C\,C are mutually exclusive events such that

P(B∪C)=0.85,P(C)=12p+q P(B \cup C) = 0.85, \quad P(C) = \frac{1}{2}p + q P(B∪C)=0.85,P(C)=21​p+q

(i) Find a second equation in p p\,p and qqq.

(ii) Hence determine the values of p p\,p and qqq.

[5]
c.

Determine whether or not the presence of marker G1 G_1\,G1​ and marker G2 G_2\,G2​ are statistically independent. Justify your answer.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

Question bank