Exam 8: Continuous Probability Distributions

Waiting Time The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -{Waiting Time Narrative} What is the probability that a patient would have to wait exactly one hour?

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Question 141

We standardize a random variable by subtracting its and dividing by its .

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Question 142

Diet Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 10 pounds and a standard deviation of 5 pounds. -{Diet Narrative} What proportion of the dieters lost more than 12 pounds?

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Question 143

If X is a continuous random variable on the interval [0,10],then P(X = 5)= f(5)= 1/10.

(True/False)

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Question 144

If the value of Z is z = 99,that means you are at the 99th percentile on the Z distribution.

(True/False)

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Question 145

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -{Subway Waiting Time Narrative} What is the probability that the subway arrives in the first minute and a half?

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Question 146

If the random variable X has a uniform distribution between 40 and 50,then P(35 $\le$ X $\le$ 45)is:

(Multiple Choice)

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Question 147

If the random variable X is exponentially distributed with parameter $\lambda$ = 1.5,then the probability P(2 $\le$ X $\le$ 4),up to 4 decimal places,is

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Question 148

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the probability of a new graduate getting a starting salary in excess of $55,000?

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Question 149

A random variable with density function 0.01e^-^x^/100 for x $\ge$ 0 has an exponential distribution whose mean is ____________________.

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Question 150

Given that Z is a standard normal random variable,the area to the left of a value z is expressed as

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Question 151

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive),then the probability that X falls between 12 and 15 is 0.30.

(True/False)

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Question 152

Which of the following statements is correct regarding the percentile points of the F distribution?

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Question 153

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the cutoff for the top 3% of the salaries?

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Question 154

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

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Question 155

If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05,then the probability P(X < 5)= .2865.

(True/False)

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Question 156

A random variable with density function e^-^x for x $\ge$ 0 has an exponential distribution with $\lambda$ = ____________________.

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Question 157

Tanner took a statistics test whose mean was 80 and standard deviation was 5.The total points possible was 100.Tanner's score was 2 standard deviations below the mean.What was Tanner's score,rounded to the nearest whole number?

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Question 158

A continuous random variable is one that can assume an uncountable number of values.

(True/False)

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Question 159

The shape of the ____________________ distribution is similar to a normal distribution,except it has more area in the tails.

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Question 160

Showing 141 - 160 of 200

Exam 8: Continuous Probability Distributions

Waiting Time The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -{Waiting Time Narrative} What is the probability that a patient would have to wait exactly one hour?

We standardize a random variable by subtracting its ____________________ and dividing by its ____________________.

Diet Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 10 pounds and a standard deviation of 5 pounds. -{Diet Narrative} What proportion of the dieters lost more than 12 pounds?

If X is a continuous random variable on the interval [0,10],then P(X = 5)= f(5)= 1/10.

If the value of Z is z = 99,that means you are at the 99th percentile on the Z distribution.

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -{Subway Waiting Time Narrative} What is the probability that the subway arrives in the first minute and a half?

If the random variable X has a uniform distribution between 40 and 50,then P(35 ≤\le≤ X ≤\le≤ 45)is:

If the random variable X is exponentially distributed with parameter λ\lambdaλ = 1.5,then the probability P(2 ≤\le≤ X ≤\le≤ 4),up to 4 decimal places,is

A random variable with density function 0.01e-x/100 for x ≥\ge≥ 0 has an exponential distribution whose mean is ____________________.

Given that Z is a standard normal random variable,the area to the left of a value z is expressed as

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive),then the probability that X falls between 12 and 15 is 0.30.

Which of the following statements is correct regarding the percentile points of the F distribution?

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the cutoff for the top 3% of the salaries?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

If the random variable X is exponentially distributed with parameter λ\lambdaλ = 0.05,then the probability P(X < 5)= .2865.

A random variable with density function e-x for x ≥\ge≥ 0 has an exponential distribution with λ\lambdaλ = ____________________.

Tanner took a statistics test whose mean was 80 and standard deviation was 5.The total points possible was 100.Tanner's score was 2 standard deviations below the mean.What was Tanner's score,rounded to the nearest whole number?

A continuous random variable is one that can assume an uncountable number of values.

The shape of the ____________________ distribution is similar to a normal distribution,except it has more area in the tails.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

We standardize a random variable by subtracting its and dividing by its .

If the random variable X has a uniform distribution between 40 and 50,then P(35 $\le$ X $\le$ 45)is:

If the random variable X is exponentially distributed with parameter $\lambda$ = 1.5,then the probability P(2 $\le$ X $\le$ 4),up to 4 decimal places,is

A random variable with density function 0.01e^-^x^/100 for x $\ge$ 0 has an exponential distribution whose mean is ____________________.

If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05,then the probability P(X < 5)= .2865.

A random variable with density function e^-^x for x $\ge$ 0 has an exponential distribution with $\lambda$ = ____________________.