Step 2: Calculate the probability of having zero boysThe only scenario where there are zero boys is when all three children are girls (GGG). The probability of having a girl for each child is 0.5. Thus, the pr
Determine the probability of having 1 girl and 3 boys in a 4-child family assuming boys and girls are equally likely. Suppose that there is an equal probability of having a boy or a girl. What is the expected number of children...
Family has 3 children(n) Only two possibilities: Either a girl or a boy Probability of having a boy is 0.5(p) Let X be a random variable of number...Become a member and unlock all Study Answers Start today. T...
If you’re pregnant, theprobability of having a boy or girlis the same: 50%. However, if you already have one child (say, a boy), your odds change. Given that your first child is a boy, your odds of having another boy drop to one third (33.33%). The reason for th...
All possible outcomes are BBB, BBG,BGB, GBB,BGG,GBG, GGB, GGG. Number of all possible outcomes = 8. Let E be the event of having at least one boy. Then, E contains GGB, GBG, BGG,BBG,BGB,GBB,BBB. Number of cases favourable to E = 7. :. requ
Show that the probability of having no offspring surviving to adulthood is Pr{ξ=0}=(1−α)N(1−β) and that this probability is made smallest by making N large. 3.8.2 Let Z=∑n=0xXn be the total family size in a branching process whose offspring distribution has a mean μ = ...
The probability of having a moustache is not independent of having a beard: While only 25 percent of all men have moustaches, perhaps 75 percent of men with beards do. Similarly, being a black man, a blond woman, and an interracial couple are not independent, nor perhaps are ponytails ...
You will always have a bet on the pass or come. On any given roll the probability there is an old pass or come bet on the 4 is 3/9. This is the probability that by looking back at old rolls you will find a 4 before a 7. Likewise the probability of having a bet on 5 is 4...
The complement of getting at least one item of a particular type is that you get no items of that type. Examples: Find the probability of couple having at least 1 boy among 4 children. A unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probabi...
Suppose a merchant, having a fortune, has besides a sum e which he must receive if a ship arrives in safety. Then, if the chance of the ship arriving =p, and q = 1 - p, his prospective advantage is pt (1 -}-e) -{-q,/. (i). Now instead of exposing the lump sum e to ...