(Solved): Please answer in typed format, thankyou!  Question 1 (Total of 24 marks) LifeSource is a h ...

Please answer in typed format, thankyou! 

Question 1 (Total of 24 marks)

LifeSource is a healthcare company specialised in producing blood pressure monitors. The company’s R&D department developed a new portable model using wireless technology allowing users to monitor blood pressure on the go.

It is known that the prices of similar wireless blood pressure monitors in the market follow the Normal Distribution with an average of $112.4 and a standard deviation of $9.8.

To be competitive in the market, the company’s marketing analysts need to know the following:

1. (6 marks) The probability that the price of a randomly selected wireless blood pressure monitor in the market is lower than $100.
2. (6 marks) The probability that the price of a randomly selected wireless blood pressure monitor in the market is higher than $122.
3. (8 marks) The probability that the price of a randomly selected wireless blood pressure monitor in the market is between $102 and $127.
4. (4 marks) The price of a randomly selected wireless blood pressure monitor corresponding to the highest 5% in the market.90% of apples will contain less than how many millilitres of juice?

Question 2 (Total of 8 marks)

a) If the true average weight of Allens Party Mix Lollies is 180 grams as stated by the manufacturer on their packets, what is the probability that the mean weight of Allens Party Mix Lollies exceeds 182 grams for a sample of 30 packets with a standard deviation of 3.2 grams.