The probability that a new small business closes before the end of its first year is 42%. In addition, 37% of all new businesses are started by women. The probability that a new business is either owned by a woman or goes out of business is 62%. Your sister starts a new business. What is the probability her business will still open at the end of the first year? A = A new small business closes before the end of its first year. B = New business started by a woman.

The probability that my sister's business will still open at the end of the first year is 0.541.

Step-by-step explanation:

The events are denoted as:

A = A new small business closes before the end of its first year.

B = New business started by a woman.

It is provided that:

P (A) = 0.42

P (B) = 0.37

P (A ∪ B) = 0.62

The probability that my sister's business will still open at the end of the first year is expressed as .

The value of .

Compute the value of P (A ∩ B) as follows:

The value of is:

Compute the value of as follows:

Thus, the probability that my sister's business will still open at the end of the first year is 0.541.

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: