Skip to content

Course home

Sign up

2 Statistics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529
Question 222

Andy gets a tennis serve in court independently with probability 0.6.

a.

For 20 serves, find the probabilities of exactly 15 in court and of more than 15 in court. Andy's coach then thinks the probability has changed after 35 of 50 serves are in court. For part (b), use H0:p=0.6H_0:p=0.6H0​:p=0.6, H1:p≠0.6 H_1:p\ne0.6\,H1​:p=0.6 and Y∼B(50,0.6)Y\sim B(50,0.6)Y∼B(50,0.6) under H0H_0H0​.

[3]
b(i).

Explain why the upper-tail probability should be compared with 0.05 for a 10% two-tailed test.

[1]
b(ii).

Calculate P(Y≥35)P(Y\geq35)P(Y≥35).

[2]
b(iii).

State the conclusion.

[1]
Markscheme

2 Statistics Questions

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

Question bank