Question

The average THC content of marijuana sold on the street is 10.2%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street.

a. What is the distribution of X? X ~ N(__________,__________)

b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 11.6. Round to 4 decimal places.__________

c. Find the 61th percentile for this distribution. Round to 2 decimal places.__________%

Answer 1

It is given that the average THC content of marijuana sold on the street is 10.2% with a standard deviation of 1%. It is also given that the THC content is normally distributed. Let us consider X be the THC content for a randomly selected bag of marijuana that is sold on the street. So,

(a) The population mean of X = μ= 10.2% and standard devation= σ = 1%. Thus we have

.

(b) P(X<11.6)

                        

                        (From Z-table)