the spinner is spun 40 times. how many times would you expect to spin a number less than 8? ? times

the spinner is spun 40 times. how many times would you expect to spin a number less than 8? ? times

the spinner is spun 40 times. how many times would you expect to spin a number less than 8? ? times

Answer

Explanation:

Step1: Calculate probability of spinning a number less than 8

There are 7 numbers (1 - 7) less than 8 out of 10 total numbers on the spinner. So the probability $P$ of spinning a number less than 8 is $P=\frac{7}{10}$.

Step2: Calculate expected number of spins

The spinner is spun $n = 40$ times. The expected - value formula is $E=n\times P$. Substitute $n = 40$ and $P=\frac{7}{10}$ into the formula: $E = 40\times\frac{7}{10}=28$.

Answer:

28