Exam 3: Probability Distributions

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The binomial probability distribution is most symmetric when

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Probabilities for discrete random variables are defined over intervals by a probability density function.

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z is a standard normal random variable.The P(z ≥ 2.11)equals

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Experiments with repeated independent trials will be described by the binomial distribution if

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For a standard normal distribution,the probability of obtaining a z value of less than 1.6 is​

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Experimental outcomes that are based on measurement scales such as time,weight,and distance can be described by _____ random variables.

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A binomial probability distribution with p = .3 is

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A salesperson contacts eight potential customers per day.From past experience,we know that the probability of a potential customer making a purchase is 0.10. a.Define the random variable in words for this experiment. b.What is the probability the salesperson will make exactly two sales in a day? c.What is the probability the salesperson will make at least two sales in a day? d.What percentage of days will the salesperson not make a sale? e.What is the expected number of sales per day? ​

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Explain the transformation from any normal distribution to the standard normal.​

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The probability of a continuous variable having a specific value is 0.

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A probability density function

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An experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is speed,measured in miles per hour.This random variable is a

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A local bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20. a.What percentage of its customers has daily balances of more than $275? b.What percentage of its customers has daily balances less than $243? c.What percentage of its customers' balances is between $241 and $301.60? ​

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When the exponential distribution probability is given as P(x ≤ 9 )= 1 − e−9/18 the average value for x is

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Scores on an endurance test for cardiac patients are normally distributed with μ = 182 and σ = 24. a.What is the probability a patient will score above 190? b.What percentage of patients score below 170? c.What score does a patient at the 75th percentile receive?

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The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds. a.Give a mathematical expression for the probability density function. b.What is the probability that a bag will weigh more than 40 pounds? c.What is the probability that a bag will weigh less than 39 pounds? d.What is the probability that a bag will weigh between 39 and 40 pounds?

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The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. a.What is the probability that the part can be assembled in 7 minutes or less? b.What is the probability that the part can be assembled between 3.5 and 7 minutes? ​

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Which of the following are continuous random variables? I. The weight of an elephant II) The time to answer a questionnaire III) The number of floors in a skyscraper IV) The square feet of countertop in a kitchen

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Weight,time,and temperature are examples of discrete random variables.

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Explain how the binomial distribution could be used in quality control to sample 50 parts in a lot of 500.​

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