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Jane has three children, each of which is equally likely to be a boy or a...
1. Suppose that each child born to a couple is equally likely to be a boy...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- pendently of the gender distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. e) There is at least 1...
Assuming boy and girl babies are equally likely,find the probability that a family with three children...
Assuming boy and girl babies are equally likely,find the probability that a family with three children will have exactly 2 boys.
#7. A family has 3 children, each of whom is a boy or a girl with...
#7. A family has 3 children, each of whom is a boy or a girl with probability ½. Let A-there is at most one girl and B the family has children of both sexes. Are A and B independent? Are A and B independent if the family has four children?
1. Suppose that each child born to a couple is equally likely to be a boy...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl. 3. In a bolt factory machines A, B, C manifacture, respectively 25, 35 and...
Consider a couple who gave birth to 4 children (assume a boy is equally likely as...
Consider a couple who gave birth to 4 children (assume a boy is equally likely as a girl) The events space for the experiment S={GGGG,GGGB,GGBG,GGBB,GBGG,GBGB.GBBG GBBB,BGGG BGGB,BGBG,BGBB,BBGG,BBGB,BBBG BBBB } Find the probability of the event E1 of no more than 2 girls in the family () Find the probability of event E2 of no less than two boys in the family (i) (ii) Find the probability of E1 n E2 E1 U E2 (iv) Find the probability of Number Number...
Consider a family with eight children. Assuming that the sex each child is determined independently of the others and that each child is equally likely to be female or male,
Consider a family with eight children. Assuming that the sex each child is determined independently of the others and that each child is equally likely to be female or male, a. What is the probability that exactly four children are female? Hint: Use the binomial distribution. (10 points) b. What is the probability that at most seven children are female? Hint: What is the complement of this event? (10 points)c. Find the conditional probability that the first two children born are female...
1. There are eight simple events that are possible when a couple has three children, where...
1. There are eight simple events that are possible when a couple has three children, where b= boy and g= girl. The combinations possible are: bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 girl. Express your answer as either a fraction or decimal. 2. Using the same sample as...
A family has three children. Every child was born to be a boy or girl with...
A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having at least one boy is?
Find the probability of getting at least one girl when a couple has five children
Find the probability of getting at least one girl when a couple has five children. Assume that boys and girls are equally likely and that the sex of any child is independent of the others.
Problem 7. (Graded, 10 points) Assume that identical twins are always of the same sex, equally...
Problem 7. (Graded, 10 points) Assume that identical twins are always of the same sex, equally likely boys or girls. Assume that for fraternal twins, the firstborn is equally likely to be a boy or a girl, and so is the secondborn, independently of the first. Assume that proportion p of twins are identical, and q = 1-p of twins are fraternal. Find formulae in terms of p for the following probabilities: a) P(both boys) b) P(firstborn boy and secondborn...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- pendently of the gender distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. e) There is at least 1...
#7. A family has 3 children, each of whom is a boy or a girl with probability ½. Let A-there is at most one girl and B the family has children of both sexes. Are A and B independent? Are A and B independent if the family has four children?
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl. 3. In a bolt factory machines A, B, C manifacture, respectively 25, 35 and...
Consider a couple who gave birth to 4 children (assume a boy is equally likely as a girl) The events space for the experiment S={GGGG,GGGB,GGBG,GGBB,GBGG,GBGB.GBBG GBBB,BGGG BGGB,BGBG,BGBB,BBGG,BBGB,BBBG BBBB } Find the probability of the event E1 of no more than 2 girls in the family () Find the probability of event E2 of no less than two boys in the family (i) (ii) Find the probability of E1 n E2 E1 U E2 (iv) Find the probability of Number Number...
Problem 7. (Graded, 10 points) Assume that identical twins are always of the same sex, equally likely boys or girls. Assume that for fraternal twins, the firstborn is equally likely to be a boy or a girl, and so is the secondborn, independently of the first. Assume that proportion p of twins are identical, and q = 1-p of twins are fraternal. Find formulae in terms of p for the following probabilities: a) P(both boys) b) P(firstborn boy and secondborn...
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Please help me with FLOWCHART and UML diagram for class,
thank you!
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