Question

the spinner is spun 40 times. how many times would you expect to spin a number greater than 5? ? times

Explanation:

Step1: Determine favorable outcomes

There are 5 numbers (6, 7, 8, 9, 10) greater than 5 out of 10 total numbers on the spinner. So the probability $P$ of spinning a number greater than 5 is $P=\frac{5}{10}=\frac{1}{2}$.

Step2: Calculate expected value

The spinner is spun $n = 40$ times. The expected - value $E$ of the number of times of spinning a number greater than 5 is given by $E=n\times P$. Substitute $n = 40$ and $P=\frac{1}{2}$ into the formula: $E = 40\times\frac{1}{2}=20$.

Answer:

20