Skip to content

Course home

Sign up

2 Unit 2: Applied Mathematics A

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104
Question 64

A factory makes components in batches of 25. The number X X\,X of defective components is modelled by B(25,0.4)B(25,0.4)B(25,0.4).

a.

Find P(X=10)P(X=10)P(X=10).

[2]
b.

Find P(X≥9)P(X\geq9)P(X≥9).

[2]
c.

Estimate how many of 150 batches contain at least 9 defective components.

[2]
d.

Criticise the value p=0.4p=0.4p=0.4 and the independence assumption as a model for a well-controlled production process.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

Question bank