The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed withstandard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street.Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(9.3|, 1b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greaterthan 9.6. 0.3821c. Find the 64th percentile for this distribution. 9.6x%

Question
Asked Oct 8, 2019
The average THC content of marijuana sold on the street is 9.3%. 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.
Round all answers to 4 decimal places where possible,
a. What is the distribution of X? X ~ N(9.3
|, 1
b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater
than 9.6. 0.3821
c. Find the 64th percentile for this distribution. 9.6
x%
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The average THC content of marijuana sold on the street is 9.3%. 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. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X ~ N(9.3 |, 1 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.6. 0.3821 c. Find the 64th percentile for this distribution. 9.6 x%

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check_circleExpert Solution
Step 1

(a)

The distribution of X is,

Here, X denote the THC content for a randomly selected bag of marijuana that is sold on the street.

The distribution of X follows normal with mean µ and standard deviation σ.

Hence, the distribution of X follows normal with mean 9.3 and standard deviation 1.

Thus, the distribution of X is X~N(9.3, 1).

(b)

The probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.6 is,

--{2.2,2)
9.6-9.3
P(X>9.6) = 1-PZ<
1
=1- P(Z<0.3) Use Standard Normal Table
=1-0.61791
0.3821
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--{2.2,2) 9.6-9.3 P(X>9.6) = 1-PZ< 1 =1- P(Z<0.3) Use Standard Normal Table =1-0.61791 0.3821

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Step 2

Thus, the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.6 is 0.3821.

(c)

The 64th percentile for th...

for
NORM.INV(0.64,9.3,1)
A1
A
В
C
E
F
1
9.658459
LL
LL
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for NORM.INV(0.64,9.3,1) A1 A В C E F 1 9.658459 LL LL

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