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Random Variables, Expectation & Variance · Question 18 of 68

What is the value of k for the showroom's daily sales?

Question 18

EasyOriginal question

A car showroom sells XX cars a day, where XX takes the values 0, 1, 2, 3 and 4 with probabilities kk, 2k2k, 3k3k, 2k2k and 2k2k.

What is the value of kk for the showroom's daily sales?

Options for question 18

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The probabilities add to 1: k+2k+3k+2k+2k=10k=1k + 2k + 3k + 2k + 2k = 10k = 1.

  2. k=0.1k = 0.1.

Worth noting

0.2 is P(X=1)=2kP(X = 1) = 2k, not kk itself.

Concept
The probabilities of a distribution add to 1
Typical time
90 s
Your time
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The rule this testsProbability distributions
Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.

Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.