1 of 8 0-day streak

Interval, conditional and μ ± 2σ probabilities from a discrete distribution

Question 1 of 8

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For the discrete random variable X, use the distribution shown

The event is \(2\le X\le 4\)

For this distribution, calculate the required event probability

(a)1 mark

Which set lists exactly the values that satisfy \(2\le X\le 4\)?

\{2, 4\}

\{1, 2\}

\varnothing

\{1\}

(b)1 mark

Which expression correctly combines the probabilities of the event values?

1-(\frac{3}{4} + \frac{1}{10})

\frac{\frac{3}{4} + \frac{1}{10}}{2}

\frac{3}{4} \times \frac{1}{10}

\frac{3}{4} + \frac{1}{10}

Complete the probabilities for the values in the event

\(\Pr(X = 2)\) \(\Pr(X = 4)\)

(d)1 mark

For this distribution, calculate the required event probability. Give the answer as an exact probability

Event probability

Format: exact probability