Question

012Explanation34BCheck5Use the figure and the table to answer the parts below.67(a) Find the probability that a real number between 4 and 6 is picked.08(b) Find the probability that a real number between 4 and 7 is picked.0RegionABCXArea0.320.560.12 I need help with this math problem

Answer 1

Given:

The graph is:

Find-:

(a)

Find the probability that a real number between 4 and 6 is picked.

(b)

Find the probability that a real number between 4 and 7 is picked.

Explanation-:

The area of the region

`\begin{gathered} \text{ Region }\rightarrow\text{ Area} \\ \\ A\rightarrow0.32 \\ \\ B\rightarrow0.56 \\ \\ C\rightarrow0.12 \end{gathered}`

The probability is:

`P(A)=\frac{\text{ Favorable outcome}}{\text{ Total outcome}}`

The total outcomes is:

`\begin{gathered} =0.32+0.56+0.12 \\ \\ =1 \end{gathered}`

(a)

Probability to the 4 and 6

The 4 to 6v region is B

`\begin{gathered} P(B)=\frac{\text{ favorable outcomes for B}}{\text{ Total outcomes}} \\ \\ P(B)=(0.56)/(1) \\ \\ P(B)=0.56 \end{gathered}`

(B)

Probability for 4 to 7

The region B and C

`\begin{gathered} 1. \\ \\ P(B\text{ and }C)=(0.56+0.12)/(1) \\ \\ =0.68 \end{gathered}`