Exam 5: Normal, Binomial, Poisson, and Exponential Distributions

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Using the standard normal curve,the Z- score representing the 75th percentile is 0.674.

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Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10,P(85 11ea936b_b5ad_521a_b28d_990181381f2c_TB13 6_11X \leq 90)is

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The binomial distribution is a discrete distribution that deals with a sequence of identical trials,each of which has only two possible outcomes.

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The Poisson distribution is applied to events for which the probability of occurrence over a given span of time,space,or distance is very small.

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A continuous probability distribution is characterized by:

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The Poisson probability distribution is one of the most commonly used continuous probability distributions.

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If the random variable X is normally distributed with mean μ\mu and standard deviation σ\sigma ,then the random variable Z defined by Z=(Xμ)/σZ = ( X - \mu ) / \sigma is also normally distributed with mean 0 and standard deviation 1.

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The normal distribution is:

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A random variable X is standardized when each value of X has the mean of X subtracted from it,and the difference is divided by the standard deviation of X.

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Calculate the mean,variance,and standard deviation for the entire year (assume 52 weeks in the year). A recent survey in Michigan revealed that 60% of the vehicles traveling on highways,where speed limits are posted at 70 miles per hour,were exceeding the limit.Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour.Let X denote the number of vehicles that were exceeding the limit.

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The standard deviation σ\sigma Of a probability distribution is a:

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Which of the following might not be appropriately modeled with a normal distribution?

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The binomial distribution deals with consecutive trials,each of which has two possible outcomes.

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Using the standard normal distribution,the Z- score representing the 99th percentile is 2.326.

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The Poisson random variable is a discrete random variable with infinitely many possible values.

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The number of loan defaults per month at a bank is Poisson distributed.

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