Problems 3,4,5 and 6

3. The weekly salaries of teachers in one state are normally distributed with a mean of $1980 and standard deviation of $285. What is the probability that a randomly selected teacher earns more than $2400 a week? (3 pts} if'i'i iE 4. In 2021, FICO scores had a mean of 714 and standard deviation of 58.3. Assuming a normal distribution, find the probability that a random FICO score is between 750 and 800. (3 pts) -1 [W 5. Assume that the weights of quarters are normally distributed with a mean of 5. 679 and a standard deviation of 0. 070g. A vending machine will only accept coins weighing between 5. 48g and 5. 82g. What percentage of legal quarters will be @jected? (3 pts) _ 1m 1544' 6. In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and standard deviation of 218 kWh. Find PBS, the consumption level separating the bottom 95% from the top 5% (3 pts} 0/ 50/ [00/