Distribution of Two Thumbtacks When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.60 and the probability of its landing tip down (D) is 0.40. Now suppose we flip two such thumbtacks: one red, one blue. Make a list of all the possible arrangements using U for up and D for down, listing the red one first; include both UD and DU. Find the probabilities of each possible outcome, and record the result in table form. Be sure the total of all the probabilities is 1.
Distribution of Two Thumbtacks When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.60 and the probability of its landing tip down (D) is 0.40. Now suppose we flip two such thumbtacks: one red, one blue. Make a list of all the possible arrangements using U for up and D for down, listing the red one first; include both UD and DU. Find the probabilities of each possible outcome, and record the result in table form. Be sure the total of all the probabilities is 1.
Solution Summary: The author explains the probability density function of flipping two thumbtacks.
Distribution of Two Thumbtacks When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.60 and the probability of its landing tip down (D) is 0.40.
Now suppose we flip two such thumbtacks: one red, one blue. Make a list of all the possible arrangements using U for up and D for down, listing the red one first; include both UD and DU. Find the probabilities of each possible outcome, and record the result in table form. Be sure the total of all the probabilities is 1.
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
Elementary Statistics: Picturing the World (7th Edition)
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