Question

The following table shows the points scored each game by Pat during the basketball season. Complete the following questions:1. What is the probability Pat scores between 10 and 15 points in a game? Round answer to two decimal places.2. What is the probability Pat scores 16 or more points? Round answer to three decimal places.

Answer 1

`\begin{gathered} (1)0.162 \\ (2)0.811 \end{gathered}`

Step-by-step explanation

From the given table;

1. The probability that Pat scores between 10 and 15 points in a game;

The frequency for (10 - 15) is 6

Summation of frequency is;

`1+6+5+17+8=37`

Hence, the probability that Pat scores between 10 and 15 points in a game;

`\begin{gathered} P(10\leq x\leq15)=(6)/(37) \\ =0.16216 \\ \cong0.162 \end{gathered}`

2. The probability Pat scores 16 or more points is calculated by adding all the frequency from 16 points and above.

Hence;

`5+17+8=30`

Therefore the P(16 and above);

`\begin{gathered} P(x\ge16)=(30)/(37) \\ =0.8108 \\ \cong0.811 \end{gathered}`