Assignment:
Q1) Hourly wages at the amusement park are normally distributed with a mean of $8.55 per hour and a standard deviation of $0.45. If an employee is selected at random, what is the probability that the worker earns less than $7.75 per hour?
Q2) The number of years at a bank is normally distributed with a mean of 10.5 years and a standard deviation of 4.6 years. If an employee is selected at random, what is the probability that the employee has worked for the company for more than 9 years?
Q3) The price of breakfast is normally distributed with a mean of $5.85 and a standard deviation of $0.35. If a meal is selected at random, what is the probability that its price is between $5.90 and $6.10?
Q4) A school accepts the top 10% of the applicants based on the entrance exam. The scores are normally distributed with a mean of 88 and a standard deviation of 3. What is the cutoff score to be admitted to the school?
Q5) The price of tickets at a theater is normally distributed with a mean of $75 and a standard deviation of $5.25. What are the minimum and maximum prices in the middle 75% range?
Q6) A study shows that the mean number of hours children watch television each day is 4 hours with a standard deviation of 1.8 hours. If the number of hours is normally distributed, what is the probability that the mean time spent by a randomly selected group of 81 children watching TV each day is under 5.5 hours?
Provide complete and step by step solution for the question and show calculations and use formulas.