Hi, please show your work so I can understand. Also please write nicely so I can read. I will give positive feedback! Also, pleasure ensure calculation are done to the 4th decimal place. Thank you for your help!

The average price of an ABC Operating system was $120.25, according to online data. Assume that the prices of the ABC Operating system were normally distributed with a standard deviation of $12.65.d) Which one of the following statements is not true? Statement 1: The height of the function for a uniform probability density function x) is the same for various values of the random variable X. Statement 2: Since there is an infinite number of values a continuous random variable can assume, the probability of each individual value is virtually 0.5 Statement 3: Given that Z is a standard normal random variable, the mean of Z is aivvays equal to zero. Statement 4: Probability for continuous random variables is found by nding the area under a curve