# Thread: Finding mean and sd of a normal distribution.

1. ## Finding mean and sd of a normal distribution.

The amount of soft drink in a bottle is a normally distributed random variable. Suppose
that in 7.08% of the bottles containing this soft drink there is less than 15.5 ounces, and in
10.03% of them there are more than 16.3 ounces.
(a) Based on this information, find the mean m and the standard deviation s of the
amount of soft drink in a randomly selected bottle.
(b) Find the probability that at least 8 of the next 10 soft drink bottles drawn at
random contain more than 16 ounces.

2. Originally Posted by champman
The amount of soft drink in a bottle is a normally distributed random variable. Suppose
that in 7.08% of the bottles containing this soft drink there is less than 15.5 ounces, and in
10.03% of them there are more than 16.3 ounces.
(a) Based on this information, find the mean m and the standard deviation s of the
amount of soft drink in a randomly selected bottle.
(b) Find the probability that at least 8 of the next 10 soft drink bottles drawn at
random contain more than 16 ounces.

(b) Calculate p = Pr(X > 16).
Let Y be the random variable 'number of bottles with more than 16 oz'.
Y ~ Binomial(p, n = 10).
Calculate $\Pr(Y \geq 8)$.

3. ## thank you sir.

thanks sir. i appreciate it.

4. ## question

sir, how did you change the title of my post? im going to change my other titles coz i didnt know that there are rules in posting.