Let

be the random variable for the weight of any given can, and let

and

be the mean and standard deviation, respectively, for the distribution of

.
You have

Recall that for any normal distribution, approximately 99.7% of it lies within three standard deviations of the mean, i.e.

. This means 0.3% must lie outside this range,

. Because the distribution is symmetric, it follows that

.
Also recall that for any normal distribution, about 95% of it falls within two standard deviations of the mean, so

, which means 5% falls outside, and by symmetry,

.
Together this means

Solving for the mean and standard deviation gives

and

.
I believe the answer is A
12500 people went to fair
<h3><u>Solution:</u></h3>
Given that at the county fair , 12% of the people who attended received free water bottles
1,500 people received free water bottles
To find: number of peoples went to fair
Let "a" be the number of peoples went to fair
From given information,
12% of the people who attended received free water bottles and 1,500 people received free water bottles
Which means 12% of total people is equal to 1500
12% of total people = 1500
12 % of "a" = 1500

Thus 12500 people went to fair
Answer: The probability that his friend doesn't make a shot until his 5 th attempt is 0.00128.
Step-by-step explanation:
Since we have given that
Probability of making his shot = 80%
Probability of missing his shot = 20%
We need to find the probability that his friend doesn't make a shot until his 5th attempt.
So, our required probability would be

Hence, the probability that his friend doesn't make a shot until his 5 th attempt is 0.00128.