SOLUTION: On average, a proportion of 0.48 newborns are girls. What are the chances that in a family with 4 children there are exactly three daughters. Provide answer as a proportion, roundi

Algebra.Com
Question 1023644: On average, a proportion of 0.48 newborns are girls. What are the chances that in a family with 4 children there are exactly three daughters. Provide answer as a proportion, rounding to two decimal places
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
This is a binomial probability problem.

The probability that in N trials, there will be
exactly x succesful outcomes, if the probability
of a success in 1 trial is p, is given by the
formula



We seek the probability that in 4 trials, there 
will be exactly 4 succesful outcomes (girls), 
given that the probability of a success (girl) 
in 1 trial is 0.48,









Round to 0.23, write as 

Or do it on a TI-83 or 84 calculator.

2ND, VARS, ALPHA, MATH

If you get a screen with trials, p:, x value, Paste, 
make it read 

trials:4
p:0.48
x value:3
Paste

Highlight Paste

Press ENTER

Read:     binompdf(4,0.48,
          3)

Or if you get binompdf( make it read like that

Press ENTER

Read .23003136

Edwin

RELATED QUESTIONS

On average, a fraction 0.48 of newborns are girls. What are the chances that in a family... (answered by fractalier)
On average, a proportion of 0.48 newborns are girls. What are the chances that in a... (answered by fractalier)
In a family, there are 3 children. What is the probability that there are 2 girls and 1... (answered by Alan3354)
A tree diagram shows the possibilites for boys and girls in a two-child family. If a... (answered by stanbon)
A family chosen at random has 5 children. what is the probability that there are two... (answered by stanbon)
If the probability of any particular child of a family being a boy is 1/2. What is the... (answered by Edwin McCravy)
If a family has 5 children, what is the probability that all 5 are girls. (answered by Alan3354)
the chances of having a girl or boy are about the same. Use a simulation to find the... (answered by stanbon)
what are the chances of a woman having 9 boys and 0... (answered by Alan3354)