Hello,

I am seeking assistance to the following practice questions in preparation for my mid-semester exam. I have attempted several times but seem to keep coming up with the wrong calculations. Any assistance would be greatly appreciated - I am not permitted to use EXCEL. Additionally, I would like to check the formulas usd and workings so that I can identify where I am going wrong.

Thanks in advance.

Question 10. The monthly income of a student working part time (X) is normally distributed with mean ,uX = $1500 and standard deviation ox = $200. AIESEC, a not-for-profit student organisation, has collected a sample of 16 randomly chosen students who have a part time job. What is the probability that the monthly income of a randomly chosen student with a part time job is less thanl$1350? Question 3. A pet lover has tabulated the distribution of the number of pets in a household (denoted by X) below. Xi P(X = Xi ) 0 0.3 1 0.4 2 0.2 3 0.1Question 9. Prank calls are considered as offences, but the police still receives them occasionally. It is known that the probability that a call is a prank is 0.1. Assume calls are independent from each other. What is the probability that there are no prank calls out of 4 calls. 0.656 0.292 0.056 0.344 .009\