in a school district 85% of children are covered by some type of health insurance. If 4 children are selected at random, what is the probability that none are covered?

And using the probability mass function we got:

Step-by-step explanation:

Let X the random variable of interest "number of children covered by some type of health insurance", on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

And we want to find this probability:

And using the probability mass function we got:

536

step-by-step explanation:

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076