Skip to content

Course home

Sign up

2 Statistics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511
Question 449

A conference organizer surveyed 40 attendees regarding their participation in the Keynote speech and the Technical Workshop. He found that, of the 40 attendees:

  • 25 attended the Keynote speech
  • 16 attended the Technical Workshop
  • 10 attended both the Keynote and the Workshop
a.

An attendee is chosen at random from the 40 surveyed. Determine whether the event 'the attendee attended the Keynote speech' and the event 'the attendee attended the Technical Workshop' are independent.

[2]
b.

For a regional library network, it is known that:

  • the probability that a registered user borrows an e-book is P(E)=25P(E) = \frac{2}{5}P(E)=52​
  • the probability that a registered user borrows an audiobook is P(A)=37P(A) = \frac{3}{7}P(A)=73​
  • the probability that a registered user borrows an audiobook given that they borrow an e-book is P(A∣E)=14P(A|E) = \frac{1}{4}P(A∣E)=41​

Calculate the probability that a registered user borrows an e-book or an audiobook or both.

[3]
Markscheme

2 Statistics Questions

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

Question bank