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Random Variables, Expectation & Variance · Question 19 of 68

What is the probability that the showroom sells at least 3 cars on a given day?

Question 19

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 probability that the showroom sells at least 3 cars on a given day?

Options for question 19

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. P(X≥3)=P(3)+P(4)=2k+2kP(X \ge 3) = P(3) + P(4) = 2k + 2k.

  2. 0.2+0.2=0.40.2 + 0.2 = 0.4.

Worth noting

0.2 is exactly 3 cars; 'at least 3' takes in 4 as well.

Concept
Adding probabilities over values
Typical time
90 s
Your time
—
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.