Question

A city has 1,091,953 residents. A recent census showed that 364,656 of these residents regularly use the city's public transportation system. A survey is being conducted in which 1,047 of the city's 1,091,953 residents will be randomly selected. This question relates to the number of people in the survey that is made up of people that do use the city's public transport. The number of people in the survey that do use public transport approximately follows a normal distribution. Calculate the standard deviation of this distribution. Give your answer rounded to 2 decimal places.

Answer 1

Answer:

The standard deviation of the distribution is 492.847

Step-by-step explanation:

Consider the provided information.

A city has 1,091,953 residents. A recent census showed that 364,656 of these residents regularly use the city's public transportation system.

Therefore the value of n is 1,091,953

The probability of success is: $\frac{364,656 }{1,091,953}=0.33395$

Calculate the standard deviation using the formula: $\sigma=\sqrt{np(1-p)}$

Substitute the respective values.

$\sigma=\sqrt{1091953(0.334)(1-0.334)}$

$\sigma=\sqrt{242898.3931}$

$\sigma=492.847$

Hence, the standard deviation of the distribution is 492.847

Answer 2

Answer

I hate school

Step-by-step explanation: