Exam 6: Continuous Probability Distributions

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What percentage of items will weigh between 6.4 and 8.9 ounces?

(Multiple Choice)

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Question 41

For the standard normal distribution, determine the probability of obtaining a z value a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e.between 1.5 to 2.75.

(Short Answer)

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Question 42

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product in less than 6 minutes is

(Multiple Choice)

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Question 43

Excel's EXPON.DIST function has how many inputs?

(Multiple Choice)

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Question 44

The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 15 minutes and 2 1/2 hours. a.Define the random variable in words. b.What is the probability of a patient waiting exactly 50 minutes? c.What is the probability that a patient would have to wait between 45 minutes and 2 hours? d.Compute the probability that a patient would have to wait over 2 hours. e.Determine the expected waiting time and its standard deviation.

(Essay)

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Question 45

For a standard normal distribution, the probability of obtaining a z value between -2.4 to -2.0 is

(Multiple Choice)

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Question 46

A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80. Assume the amounts of charges are normally distributed. a.What percentage of customers charges more than $380 per month? b.What percentage of customers charges less than $340 per month? c.What percentage of customers charges between $644 and $700 per month?

(Short Answer)

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Question 47

Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-1. The mean of x is

(Multiple Choice)

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Question 48

Exhibit 6-7 -Exponential distributions

(Multiple Choice)

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Question 49

Larger values of the standard deviation result in a normal curve that is

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Question 50

The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes. a.What is the probability density function for the time it takes to change the oil? b.What is the probability that it will take a mechanic less than 6 minutes to change the oil? c.What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil?

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Question 51

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take exactly 50 minutes is

(Multiple Choice)

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Question 52

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What is the random variable in this experiment?

(Multiple Choice)

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Question 53

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is

(Multiple Choice)

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Question 54

Z is a standard normal random variable. The P(1.20 $\le$ z $\le$ 1.85) equals

(Multiple Choice)

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Question 55

Exhibit 6-7 -The price of a stock is uniformly distributed between $30 and $40. a.What is the probability that the stock price will be more than $37? b.What is the probability that the stock price will be less than or equal to $32? c.What is the probability that the stock price will be between $34 and $38? d.Determine the expected price of the stock. e.Determine the standard deviation for the stock price.

(Short Answer)

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Question 56

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?

(Short Answer)

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Question 57

Z is a standard normal random variable. The P (-1.20 $\le$ z $\le$ 1.50) equals

(Multiple Choice)

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Question 58

If the mean of a normal distribution is negative,

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Question 59

Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. -Refer to Exhibit 6-6. What is the probability that a randomly selected tire will have a life of at least 30,000 miles?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 144

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What percentage of items will weigh between 6.4 and 8.9 ounces?

For the standard normal distribution, determine the probability of obtaining a z value a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e.between 1.5 to 2.75.

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product in less than 6 minutes is

Excel's EXPON.DIST function has how many inputs?

For a standard normal distribution, the probability of obtaining a z value between -2.4 to -2.0 is

Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-1. The mean of x is

Exhibit 6-7 -Exponential distributions

Larger values of the standard deviation result in a normal curve that is

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take exactly 50 minutes is

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What is the random variable in this experiment?

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is

Z is a standard normal random variable. The P(1.20 $\le$ z $\le$ 1.85) equals

Z is a standard normal random variable. The P (-1.20 $\le$ z $\le$ 1.50) equals

If the mean of a normal distribution is negative,

Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. -Refer to Exhibit 6-6. What is the probability that a randomly selected tire will have a life of at least 30,000 miles?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 6: Continuous Probability Distributions

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What percentage of items will weigh between 6.4 and 8.9 ounces?

For the standard normal distribution, determine the probability of obtaining a z value a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e.between 1.5 to 2.75.

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product in less than 6 minutes is

Excel's EXPON.DIST function has how many inputs?

For a standard normal distribution, the probability of obtaining a z value between -2.4 to -2.0 is

Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-1. The mean of x is

Exhibit 6-7 -Exponential distributions

Larger values of the standard deviation result in a normal curve that is

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take exactly 50 minutes is

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What is the random variable in this experiment?

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is

Z is a standard normal random variable. The P(1.20 ≤\le≤ z ≤\le≤ 1.85) equals

Z is a standard normal random variable. The P (-1.20 ≤\le≤ z ≤\le≤ 1.50) equals

If the mean of a normal distribution is negative,

Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. -Refer to Exhibit 6-6. What is the probability that a randomly selected tire will have a life of at least 30,000 miles?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Z is a standard normal random variable. The P(1.20 $\le$ z $\le$ 1.85) equals

Z is a standard normal random variable. The P (-1.20 $\le$ z $\le$ 1.50) equals