If the random variable X is uniformly distributed between 40 and 60, then P(35 F1F1F1S1F1F1F10 X F1F1F1S1F1F1F10 45) is:

A) 1.0. B) 0.5. C) 0.25. D) 0.0. A) 1.0. B) 0.5. C) 0.25. D) 0.0.

What are the values of z that correspond to the P(-z F1F1F1S1F1F1F10 Z F1F1F1S1F1F1F10 z) equal to 0.4778?

A) ±0.2389. B) ± 0.71. C) ±0.64. D) None of these choices are correct. A) ±0.2389. B) ± 0.71. C) ±0.64. D) None of these choices are correct.

Exam 8: Continuous Probability Distributions

A used car salesman in a small town states that, on the average, it takes him 5 days to sell a car. Assume that the probability distribution of the length of time between sales is exponentially distributed. a. What is the probability that he will have to wait at least 8 days before making another sale? b. What is the probability that he will have to wait between 6 and 10 days before making another sale?

(Short Answer)

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Question 81

The scores of high-school students sitting a mathematics exam were normally distributed, with a mean of 86 and a standard deviation of 4. a. What is the probability that a randomly selected student will have a score of 80 or less? b. If there were 97 680 students with scores higher than 91, how many students took the test?

(Short Answer)

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Question 82

Given that Z is a standard normal random variable, what is the value of Z if the area to the left of Z is 0.1949?

(Multiple Choice)

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Question 83

Which of the following is a characteristic of a standard normal distribution?

(Multiple Choice)

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Question 84

A fair coin is tossed 500 times. Calculate the probability that the number of tails observed is between 240 and 270 (inclusive).

(Short Answer)

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Question 85

The mean and the standard deviation of an exponential distribution are equal to each other.

(True/False)

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Question 86

The time required to complete a particular assembly operation is uniformly distributed between 12 and 18 minutes. a. What is the probability density function for this uniform distribution? b. What is the probability that the assembly operation will require more than 16 minutes to complete? c. Find the expected value and standard deviation for the assembly time.

(Essay)

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Question 87

If the random variable X is uniformly distributed between 40 and 60, then P(35  X  45) is:

(Multiple Choice)

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Question 88

The height of the function for a uniform probability density function f(x):

(Multiple Choice)

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Question 89

For a normal curve, if the mean is 25 minutes and the standard deviation is 5 minutes, the area to the right of 25 minutes is 0.50.

(True/False)

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Question 90

What are the values of z that correspond to the P(-z  Z  z) equal to 0.4778?

(Multiple Choice)

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Question 91

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

(True/False)

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Question 92

A random variable X is normally distributed with a mean of 150 and a variance of 25. Given that X = 120, its corresponding z-score is 6.0.

(True/False)

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Question 93

Let X be a binomial random variable with n = 25 and p = 0.6. Approximate the following probabilities, using the normal distribution. a. P(X $\geq$ 20). b. P(X $\leq$ 15). c. P(X = 10).

(Short Answer)

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Question 94

Given that Z is a standard normal random variable, P(Z > − 2.68) is:

(Multiple Choice)

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Question 95

Suppose it is known that 60% of students at a particular university are smokers. A sample of 500 students from the university is selected at random. Approximate the probability that less than 280 of these students are smokers.

(Short Answer)

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Question 96

The mean of the exponential distribution equals the mean of the Poisson distribution only when the former distribution has a mean equal to:

(Multiple Choice)

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Question 97

The lifetime of a light bulb is exponentially distributed with  = 0.001. a. What are the mean and standard deviation of the light bulb's lifetime? b. Find the probability that a light bulb will last between 110 and 150 hours. c. Find the probability that a light bulb will last for more than 125 hours.

(Short Answer)

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Question 98

Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.8212?

(Multiple Choice)

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Question 99

Let X be a binomial random variable with n = 100 and p = 0.7. Approximate the following probabilities, using the normal distribution. a. P(X = 75). b. P(X  70). c. P(X  60).

(Short Answer)

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Question 100

Showing 81 - 100 of 113

Given that Z is a standard normal random variable, what is the value of Z if the area to the left of Z is 0.1949?

Which of the following is a characteristic of a standard normal distribution?

A fair coin is tossed 500 times. Calculate the probability that the number of tails observed is between 240 and 270 (inclusive).

The mean and the standard deviation of an exponential distribution are equal to each other.

If the random variable X is uniformly distributed between 40 and 60, then P(35  X  45) is:

The height of the function for a uniform probability density function f(x):

For a normal curve, if the mean is 25 minutes and the standard deviation is 5 minutes, the area to the right of 25 minutes is 0.50.

What are the values of z that correspond to the P(-z  Z  z) equal to 0.4778?

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

A random variable X is normally distributed with a mean of 150 and a variance of 25. Given that X = 120, its corresponding z-score is 6.0.

Let X be a binomial random variable with n = 25 and p = 0.6. Approximate the following probabilities, using the normal distribution. a. P(X $\geq$ 20). b. P(X $\leq$ 15). c. P(X = 10).

Given that Z is a standard normal random variable, P(Z > − 2.68) is:

Suppose it is known that 60% of students at a particular university are smokers. A sample of 500 students from the university is selected at random. Approximate the probability that less than 280 of these students are smokers.

The mean of the exponential distribution equals the mean of the Poisson distribution only when the former distribution has a mean equal to:

Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.8212?

Let X be a binomial random variable with n = 100 and p = 0.7. Approximate the following probabilities, using the normal distribution. a. P(X = 75). b. P(X  70). c. P(X  60).

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters

Exam 8: Continuous Probability Distributions

Given that Z is a standard normal random variable, what is the value of Z if the area to the left of Z is 0.1949?

Which of the following is a characteristic of a standard normal distribution?

A fair coin is tossed 500 times. Calculate the probability that the number of tails observed is between 240 and 270 (inclusive).

The mean and the standard deviation of an exponential distribution are equal to each other.

If the random variable X is uniformly distributed between 40 and 60, then P(35  X  45) is:

The height of the function for a uniform probability density function f(x):

For a normal curve, if the mean is 25 minutes and the standard deviation is 5 minutes, the area to the right of 25 minutes is 0.50.

What are the values of z that correspond to the P(-z  Z  z) equal to 0.4778?

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

A random variable X is normally distributed with a mean of 150 and a variance of 25. Given that X = 120, its corresponding z-score is 6.0.

Let X be a binomial random variable with n = 25 and p = 0.6. Approximate the following probabilities, using the normal distribution. a. P(X ≥\geq≥ 20). b. P(X ≤\leq≤ 15). c. P(X = 10).

Given that Z is a standard normal random variable, P(Z > − 2.68) is:

Suppose it is known that 60% of students at a particular university are smokers. A sample of 500 students from the university is selected at random. Approximate the probability that less than 280 of these students are smokers.

The mean of the exponential distribution equals the mean of the Poisson distribution only when the former distribution has a mean equal to:

Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.8212?

Let X be a binomial random variable with n = 100 and p = 0.7. Approximate the following probabilities, using the normal distribution. a. P(X = 75). b. P(X  70). c. P(X  60).

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters

Let X be a binomial random variable with n = 25 and p = 0.6. Approximate the following probabilities, using the normal distribution. a. P(X $\geq$ 20). b. P(X $\leq$ 15). c. P(X = 10).