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Consider a game in which a single player is given three dice to roll and then is dealt 3 cards from a deck of only the spades (i.e. the 13 cards: 2-10, Jack, Queen, King, and Ace, all of spades) where Aces are considered the highest card. However, the three cards are dealt in this manner: the first card is dealt, its name is recorded, it is returned to the deck, and the deck is reshuffled before the next card is dealt. (this is called dealing the cards "with replacement" and it means that a player could end up with duplicate cards among their three). Design a computer simulation that replicates this procedure and use your simulations to do the following (simulations should include at least 5000 trials):Using your simulation results calculate an estimate of the probability that the sum of the dice is 10 and the player is dealt three cards that can be put in sequence (Be careful. Aces are assumed to be high, so {3,Ace,2} cannot be put in sequence, but {Ace,Queen, King} can be).
A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds produced by the process is greater than 0.5 karat.
Find the probability that in a given month a) there are exactly 9 days with 0.01 inch or more precipitation, b) there are at most 9 days.
Choose and compute the appropriate descriptive statistics to describe characteristics of the sample under study (such as sex distribution, age, and ethnicity).
Determine the sample size necessary to estimate a population mean to within 1 with a 90% confidence given that the population standard deviation is 10.
At 0.05 level of significance, is there evidence of significant relationship between age group and where people mainly get their news? If so, describe the relationship.
Bicycle helmet use. Table lists data from a cross-sectional survey of bicycle safety. The explanatory variable is a measure of neighbourhood socioeconomic status (variable_RFM). The response variable is "percent of bicycle riders wearing a helmet"..
You are conducting a study for which it is critical that the findings be representative of the population of interest. Which of the following research methods runs the greatest risk.
Assuming a linear cost relationship, what are the regression coefficients, b0 and b1?
Critically discuss the mean number of children per household for these families? Round your answer to at least one decimal place.
A researcher collected sample data for 17 women ages 18 to 24 . The sample had a mean serum cholesterol level (measured in mg/100 mL) of 188.8 , with a standard deviation of 5.5.
Over the 48 years from 1950 through 1997, the stock market has gone up in the month of January for 31 times; it has gone up for the whole year for 36 times, and it has gone up both for the year and in January for 29 times.
A researcher wants to determine a 95% confidence interval for the mean number of hours that UMKC students spend doing homework per week.
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