An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.
An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...
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![An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders
participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red
marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The
children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen.
Find E (X).
Find SD(X).
а.
b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65f73fc5-c851-4bb3-9104-46ceb9b56e66%2Fbb0acff2-077a-4d8c-8bb8-c2a0710d6549%2F15tcq5v_processed.png&w=3840&q=75)
Transcribed Image Text:An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders
participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red
marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The
children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen.
Find E (X).
Find SD(X).
а.
b.
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