Question

Every day for a year, before you get out of bed you measure and record your resting heart rate. The data is normally distributed with a mean of 56 beats per minute and a standard deviation of 5 beats per minute.

a) What is the probability that your resting heart rate will be between 50 and 60 bpm?  

b) What percentage of the year will your resting heart rate be above 54 bpm? How many days is that?  

c) What is your resting heart rate if the bpm is 0.75 standard deviations below the mean of 56 bpm?  (Final answer to 2 decimal places (1 mark))

question 2

An insurance company states that a certain percentage of claim are fraudulent. In fact they claim that 10% of fire insurance claims are fraudulent. Suppose the company is correct, and the company takes a random sample of 128 claims.       

a) Can we assume the sampling distribution of sample proportions is normally distributed? In other words, can we use the properties of normal distribution? Why? SHOW YOUR WORK  

b) What's the probability that at least 16 claims in the sample are fraudulent?      

c) What's the probability that between 8 and 18 claims in the sample are fraudulent?

Answer 1