A couple decides to continue to have children until a daughter is born, what is the expected number of children of this couple? If there is a population with many such couples, what is the variance of the number of children per family in this population?

Solution Summary

The solution calculates the expected number of children and variance of the number of children per family for a population of couples that decide to continue to have children until a daughter is born.

... winning numbers are selected from a total of 54 number. ... all six numbers will be winning numbers A) 0.000038719 ...Expected to return of X=$50 Expected return of Y ...

... 1.25 + r = 1.25 + 5 = 6.25 Also =1.5625 becomes =1.5625 =1.5625 [Since ] Thus the expected number of repetitions required is 6.25 and Variance is 1.5625 4. In ...

...number of service calls probability 0 .10 3 .20 1 .15 4 .15 2 .30 5 .10 a. what is the expected number of service calls? b. What is the variance in the number...

... is µ = E( X ) 8 = ∑ xP ( x) x =0 = 5.38 = 5.4 b) The variance of the ... is 8 E ( X ) = ∑ xP ( x) x =0 = 5.38 = 5.4 e) A. The expected number of questions ...

... b) Forming 3 digit numbers given the ... a mere selection of objects from a given number of objects ... some of the benefits of being able to find the expected value of ...

... the density function given in #4. Find the variance of X. 1 ... the coin twice and let X be the number that tail ... P(X=2)=0.25*0.25=0.0625 So the expected number is E ...

... C. How many people would you expect to say the ... the variance and standard deviation of the number of people ... of 30 people, what is the expected number of persons ...