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Chapter 6: Q. 3.1 (page 393)
Refer to the previous Check Your Understanding (page 390 ) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined the number of Patti's correct guesses.
1. Find . Interpret this value in context.
The value of meanis 2.
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Suppose you roll a pair of fair, six-sided dice until you get doubles. Let the number of rolls it takes.
Find . Interpret this result in context.
A test for extrasensory perception (ESP) involves asking a person to tell which of shapes鈥攁 circle, star, triangle, diamond, or heart鈥攁ppears on a hidden computer screen. On each trial, the computer is equally likely to select any of the shapes. Suppose researchers are testing a person who does not have ESP and so is just guessing on each trial. What is the probability that the person guesses the first shapes incorrectly but gets the fifth correct?
a).
b).
c).
d).
e).
To introduce her class to binomial distributions, Mrs. Desai gives a 10 -item, multiple-choice quiz. The catch is, that students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the answer key so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class. Let the number of Patti's correct guesses.
1. Show that is a binomial random variable.
North Carolina State University posts the grade distributions for its courses online.Students in Statistics in a recent semester received A. Choose a Statistics student at random. The student鈥檚 grade on a four-point scale (with ) is a discrete random variable with this probability distribution:
Sketch a graph of the probability distribution. Describe what you see .
In the Japanese game show Sushi Roulette, the contestant spins a large wheel that鈥檚 divided into equal sections. Nine of the sections have a sushi roll, and three have a 鈥渨asabi bomb.鈥� When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb. Find the probability that it takes or more spins for the contestant to get a wasabi bomb. Show your method clearly
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