The Jones family was one of the first to come to the U. S. They had 4 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had:.
(a) at least 3 girls
(b) at most 3 girls

a= 1/4

b=15/16

Explanation:

There are no sequences or anything that can differ the 4 children, so the order in this probability is not important. Let's say chance the chance for a girl is A and chance for a boy is B, then  

P(A)= 0.5 = 50%

P(B)= 1-0.5= 50%

(a) at least 3 girls

At least 3 girls mean you need to have 3 girls or more. The events that can fulfill at least 3 girls out of 4 children are  

1. 3 girls and 1 boy

2. 4 girls and 0 boy

We can find the probability by adding these 2 events. The calculation will be:

P(3A1B) + P(4A0B) = 3C1 * A^3 * B^1          +           4C0 * A^4  * B^0

P(3A1B) + P(4A0B) = 3 * 0.5^3  * 0.5^1       +         1 * 0.5^4 * 0.5^0

P(3A1B) + P(4A0B) = 3/16 + 1/16= 4/16 = 1/4

(b) at most 3 girls

At most 3 girls mean that less or equal to 3 girls. There are only 4 children, so the only event that did not fulfill the condition is 4 girls and 0 boy. It is easier to find the probability for 4 girls and 0 boy then calculate the negation, it will be:

P(4A0B)= 4C0 * A^4  * B^0=

P(4A0B)=  1 * 0.5^4 * 0.5^0=

P(4A0B)= 1/16

The probability will be ~P(4A0B)= 1- 1/16= 15/16

the historians cited in the article all agree with one another about the cause of the civil war. despite coming from different backgrounds and cultures, the historians agree that slavery was the root cause of the civil war. the fact that all these historiansgenerally agree with one another makes their shared viewpoints more reliable and valid, especially because the historians have different backgrounds and all work for the well-respected institutions of howard university, clemson university, and the university of colorado.

yes

it is because 3 because the citizen the northern democratic party watned the warning on red to blue because it is purple. lol