The probability that you will win a game is 0.690.69. a) If you play the game 165 times, what is the most likely number of wins? (Round answer to two decimal place.) b) Find the standard deviation for the probability distribution. (Round answer to two decimal places.) σ = σσ c) The range rule of thumb specifies that the minimum usual value for a random variable is μ–2σ and the maximum usual value is μ+2σ. You already found μμ and σσ from parts a and b. Use the range rule of thumb to find the usual range of values. Enter answer as an interval using square brackets and only whole numbers. For example [40,55]. usual values =
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The probability that you will win a game is 0.690.69.
a) If you play the game 165 times, what is the most likely number of wins?
(Round answer to two decimal place.)
b) Find the standard deviation for the probability distribution.
(Round answer to two decimal places.)
σ = σσ
c) The range rule of thumb specifies that the minimum usual value for a random variable is μ–2σ and the maximum usual value is μ+2σ. You already found μμ and σσ from parts a and b.
Use the range rule of thumb to find the usual range of values. Enter answer as an interval using square brackets and only whole numbers. For example [40,55].
usual values =
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