Psychiatrists estimate that 1 in 100 adults suffers from bipolar disorder. Use the normal approximation to the binomial distribution to estimate the probability that in a city of 10,000 people there are more than 120 people who are bipolar.

0.0222 is the probability that in a city of 10,000 people there are more than 120 people who are bipolar.

Step-by-step explanation:

We are given the following in the question:

Probability of adult suffering from bipolar disorder =

Sample size, n = 10000

We have to use normal approximation to the binomial distribution to estimate the probability.

Normal approximation:

The distribution of adults suffering from bipolar disorder follows a normal distribution with mean 100 and standard deviation 9.5

Formula:

We have to evaluate:

P(more than 120 people are bipolar)

P(x > 120)

Calculation the value from standard normal z table, we have,  

0.0222 is the probability that in a city of 10,000 people there are more than 120 people who are bipolar.

what are you trying to solve here

step-by-step explanation: