If r is a normal random number with mean 0 and variance 1 (as generated by randn), it can be transformed into a random number X with mean μ and standard deviation σ by the relation:
In an experiment a Geiger counter is used to count the radio-active emissions of cobalt 60 over a 10-s period. After a large number of such readings are taken, the count rate is estimated to be normally distributed with a mean of 460 and a standard deviation of 20:
1. Simulate such an experiment 200 times by generating 200 random numbers with this mean and standard deviation. Plot the histogram (use 10 bins).
2. Repeat a few times to note how the histogram changes each time.