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One game at a carnival is called "Duck Pond." This game consists of a large number of ducks that are floating through an oval-shaped trough. A sign claims that 20% of the ducks have a blue dot on the bottom of them, 20% have a red dot, 20% have a green dot, 20% have a yellow dot, and 20% have an orange dot. Players pay to select one duck, show the color to the game attendant, replace the duck, spin around once, and then select a second duck. If the dot on the bottom of the second duck matches the dot that was on the bottom of the first duck, the player wins. Otherwise, the player loses. a) Are the events "color of the first duck" and "color of the second duck" independent? Explain. b) You want to perform a simulation to estimate the probability of winning this game, assuming the duck colors are distributed as claimed. Describe how you could use a table of random digits to carry out this simulation without needing to skip any digits. c) Perform 10 trials of the simulation described in part (b) using the random digits given. Mark on or below the digits to show your work. 19223 95034 05756 28710 96409 12531 42544 82853 17463 74773 48364 00193 17483 19490 Based upon your simulation, what is the estimated probability of winning this game?
a. There is a 1% chance that the total return on the nine investments is less than what value? b. What is the probability that the investor's total return is between $400,000 and $520,000?
Information and digital literacy impacts the decision-making process in multiple ways from academic research to personal interest.
A manufacturer ships toasters in cartons of 50. In each carton, they estimate a 2% chance that one of the toasters will need to be sent back for minor repairs. In a batch of 25,000 toasters, what are the chances that fewer than 475 need to be retu..
Generate a stem-and-leaf display of the data. Identify the stems and leaves of the graph.- Use the stem-and-leaf display to estimate the proportion of ships that have an accepted sanitation standard.
The weights of the 100 boys in the Boy Scout Troop 829 are normally distributed with a mean of 170 pounds and a standard deviation of 5 pounds.
Construct precising definitions for "middle-aged" and "alcoholic." Interpret both words as relating to people and specify the purpose for which the definitions are to be used.
If 5 men and 5 women are to be chosen randomly and then paired off, what is the probability of a given pair (Alice-Bob) to be formed?
Use a test of hypothesis to decide if the proportion of defects has been reduced.
Discuss the profitability situation of the facility per patient. What is the lost opportunity cost by failing to treat patients within three days? What should it do to improve?
What is the probability that , of 20 randomly chosen drivers coming to an intersection under these conditions, a) At most 2 will come to a complete stop?
a certain type of engine suffers a critical failure with probability 1.59 each start.a. what is the probability of a
at parkview at any given time the probability that a randomly selected student is a female is 30. with this binomial
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