Question

a spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. the spinner is spun several times, and the results are recorded below: if the spinner is spun 900 more times, about how many of those times would you expect to land on purple? round your answer to the nearest whole number.

Explanation:

Step1: Calculate total spins

Find total spins from the table: \(6 + 3+13 + 16+10=48\)

Step2: Calculate probability of landing on purple

Probability \(P(\text{purple})=\frac{\text{Frequency of purple}}{\text{Total spins}}=\frac{10}{48}\)

Step3: Calculate expected number of purple spins in 900 spins

Expected value \(E = 900\times\frac{10}{48}\)

$$
LATEXBLOCK0
$$

Answer:

\(188\)