Skip to content

Course home

Sign up

Statistical Distributions

EasyMedium
12345678910111213141516171819202122232425262728
Question 19

The random variable W W\,W represents the number of minutes, in tens, that a bus is delayed. It has the following probability distribution.

www23456
P(W=w)P(W=w)P(W=w)k3\displaystyle \frac{k}{3}3k​k4\displaystyle \frac{k}{4}4k​k5\displaystyle \frac{k}{5}5k​k6\displaystyle \frac{k}{6}6k​k7\displaystyle \frac{k}{7}7k​

where k k\,k is a constant.

a.

Find the value of kkk.

[3]
b.

The random variables W1 W_1\,W1​ and W2 W_2\,W2​ are independent and each have the same distribution as WWW. Find P(W1+W2=8)P(W_1+W_2=8)P(W1​+W2​=8).

[4]
Markscheme

Statistical Distributions Questions

  1. AS Level
  2. /Maths
  3. /Statistical Distributions

57 exam-style questions on Edexcel AS Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank