Question

The probability distribution of a random variable x is given in the table below.X10-505101520Probability.2015.05.1.25.1.15Find the probability that x ⩾ 5

Answer 1

0.6

Step-by-step explanation:

From the given data:

`\begin{gathered} P\left(x=-10\right)=0.20 \\ P\left(x=-5\right)=0.15 \\ P\left(x=0\right)=0.05 \\ P\left(x=5\right)=0.1 \\ P\left(x=10\right)=0.25 \\ P\left(x=15\right)=0.1 \\ P\left(x=20\right)=0.15 \end{gathered}`

The probability that x is greater than or equal to 5 is:

`\begin{gathered} P(x\geq5)=P\left(x=5\right)+P\left(x=10\right)+P\left(x=15\right)+P\left(x=20\right) \\ =0.1+0.25+0.1+0.15 \\ =0.6 \end{gathered}`