Consider the following binomial experiment: a study in a certain community showed that 8% of the people suffer from insomnia. if there are 10,400 people in this community, what is the standard deviation of the number of people who suffer from insomnia?

27.67

Step-by-step explanation:

We know that the standard deviation for binomial distribution having parameter n (number of trails) and p (probability of getting succes in each trials) is

Given : The proportion of of the people suffer from insomnia. = 0.08

The number of people in community = 10,400

Then the standard deviation of  the number of people who suffer from insomnia will be :-

Hence, the standard deviation of the number of people who suffer from insomnia = 27.67

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500