in recent days, rudy has worn a brown shirt on 5 days and shirts in other colors on 5 days. considering this…

in recent days, rudy has worn a brown shirt on 5 days and shirts in other colors on 5 days. considering this data, how many times would you expect rudy to wear a brown shirt in the next 12 days? times

in recent days, rudy has worn a brown shirt on 5 days and shirts in other colors on 5 days. considering this data, how many times would you expect rudy to wear a brown shirt in the next 12 days? times

Answer

Answer:

6

Explanation:

Step1: Calculate the probability of wearing a brown - shirt

The total number of days observed is $5 + 5=10$ days. The number of days wearing a brown shirt is 5 days. So the probability $P$ of wearing a brown shirt is $P=\frac{5}{10}=\frac{1}{2}$.

Step2: Calculate the expected number of times

We want to find the expected number of times in 12 days. Using the formula for expected value $E = n\times P$, where $n = 12$ (number of days) and $P=\frac{1}{2}$. So $E=12\times\frac{1}{2}=6$.