The function f(x) that defines the probability distribution of a continuous random variable X is a: $\begin{array}{|l|l|} \hline A&\text {binomial function. }\\ \hline B&\text {normal function. }\\ \hline C&\text {Poisson function. }\\ \hline D&\text { probability density function.}\\ \hline \end{array}$

The answer of The function f(x) that defines the probability...

If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation equal to: $\begin{array}{|l|l|} \hline\text { A. } & 10 . \\ \hline \text { B. } & 13 . \\ \hline \text { C. } & 30 . \\ \hline \text { D. } & 90 . \\ \hline \end{array}$

The answer of If X is a normal random variable...

Find the value of σ if it is know that X is normally distributed with mean 5 and 14.92% of the values are above 8? $\begin{array}{|l|l|} \hline \text { A. } & 2.14 \\ \hline \text { B. } & 2.88 \\ \hline \text { C. } & 3 \\ \hline \text { D. } & \text { None of these choices are correct. } \\ \hline \end{array}$

The answer of Find the value of σ if it...

The height of the function for a uniform probability density function f(x): $\begin{array}{|l|l|} \hline A&\text { is different for various values of the random variable \( X $.}\\ \hline B&\text {is the same for various values of the random variable $ X $. }\\ \hline C&\text {increases as the values of the random variable $ X $ increase. }\\ \hline D&\text {None of these choices are correct. }\\ \hline \end{array}\)

The answer of The height of the function for a...

Which of the following is not true for a random variable X that is uniformly distributed over the interval $a \leq x \leq b$ ? $\begin{array}{|l|l|} \hline A&E(X)=(a+b) / 2 \\ \hline B&V(X)=(b-a)^{2} / 12\\ \hline C&\sigma=(b-a) / 6\\ \hline D&f(x)=\frac{1}{b-a} \text { if } a \leq x \leq b\\ \hline \end{array}$

The answer of Which of the following is not true...

Given that Z is a standard normal random variable, a positive z value means that: $\begin{array}{|l|l|} \hline A&\text { the value \( z $ is to the left of the mean. }\\ \hline B&\text {the value $ z $ is to the right of the median. }\\ \hline C&\text { the $ z $ value is to the right of the mean.}\\ \hline D&\text {both $ \mathrm{B} $ and $ \mathrm{C} $ are correct. }\\ \hline \end{array}\)

The answer of Given that Z is a standard normal...

If the random variable X is exponentially distributed with parameter $\lambda$ = 3, then P(X $\geq$ 2), up to 4 decimal places, is: $\begin{array}{|l|l|} \hline\text { A. } & 0.3333 . \\ \hline \text { B. } & 0.5000 . \\ \hline \text { C. } & 0.6667 . \\ \hline \text { D. } & 0.0025 . \\ \hline \end{array}$

The answer of If the random variable X is exponentially...

Given that X is a normal variable, which of the following statements is (are) true? $\begin{array}{|l|l|} \hline A&\text {The variable \( X+5 $ is also normally distributed. }\\ \hline B&\text {The variable $ X-5 $ is also normally distributed. }\\ \hline C&\text { The variable $ 5 X $ is also normally distributed. }\\ \hline D&\text {All of these choices are correct. }\\ \hline \end{array}\)

The answer of Given that X is a normal variable,...

Like the normal distribution, the exponential density function f(x): $\begin{array}{|l|l|} \hline A&\text {is bell-shaped. }\\ \hline B&\text {is symmetrical. }\\ \hline C&\text { approaches infinity as \( x $ approaches zero.}\\ \hline D&\text { approaches zero as $ x $ approaches in finity.}\\ \hline \end{array}\)

The answer of Like the normal distribution, the exponential density...

Given that Z is a standard normal random variable, P(Z > − 2.68) is: $\begin{array}{|l|l|} \hline \text { A. } & 0.0037 . \\ \hline \text { B. } & 0.5037 . \\ \hline \text { C. } & 0.9963 . \\ \hline \text { D. } & 0.4963 . \\ \hline \end{array}$

The answer of Given that Z is a standard normal...

Given that Z is a standard normal variable, the value z for which P(Z $\le$ z) = 0.2580 is: $\begin{array}{|l|l|} \hline\text { A. } & 0.70 . \\ \hline \text { B. } & 0.758 . \\ \hline \text { C. } & -0.65 . \\ \hline \text { D. } & 0.242 . \\ \hline \end{array}$

The answer of Given that Z is a standard normal...

Exam 8: Continuous Probability Distributions

The length of time patients must wait to see a doctor at an emergency room in a large hospital is uniformly distributed between 40 minutes and 3 hours. a. What is the probability that a patient would have to wait between 50 minutes and 2 hours? b. What is the probability that a patient would have to wait exactly 1 hour? c. Find the expected waiting time. d. Find the standard deviation of the waiting time.

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Question 61

For a normal curve, if the mean is 20 minutes and the standard deviation is 5 minutes, the area to the right of 13 minutes is 0.9192.

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Question 62

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).

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Question 63

The function f(x) that defines the probability distribution of a continuous random variable X is a: A binomial function. B normal function. C Poisson function. D probability density function.

(Short Answer)

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Question 64

If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation equal to: A. 10. B. 13. C. 30. D. 90.

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Question 65

Find the value of σ if it is know that X is normally distributed with mean 5 and 14.92% of the values are above 8? A. 2.14 B. 2.88 C. 3 D. None of these choices are correct.

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Question 66

The mean of any normal distribution is always zero.

(True/False)

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Question 67

The height of the function for a uniform probability density function f(x): A is different for various values of the random variable X . B is the same for various values of the random variable X . C increases as the values of the random variable X increase. D None of these choices are correct.

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Question 68

The weights of cans of soup produced by a company are normally distributed, with a mean of 150 g and a standard deviation of 5 g. a. What is the probability that a can of soup selected randomly from the entire production will weigh less than 143 g? b. Determine the minimum weight of the heaviest 5% of all cans of soup produced. c. If 28 390 of the cans of soup of the entire production weigh at least 157.5 g, how many cans of soup have been produced?

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Question 69

Which of the following is not true for a random variable X that is uniformly distributed over the interval $a \leq x \leq b$ ? A E(X)=(a+b)/2 B V(X)=(b-a/12 C \sigma=(b-a)/6 D f(x)= if a\leqx\leqb

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Question 70

Given that Z is a standard normal random variable, a positive z value means that: A the value z is to the left of the mean. B the value z is to the right of the median. C the z value is to the right of the mean. D both and are correct.

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Question 71

Using the standard normal curve, the z-score representing the 75th percentile is 0.75.

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Question 72

In the exponential distribution, the value of x can be any of an infinite number of values in the given range.

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Question 73

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.

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Question 74

If the random variable X is exponentially distributed with parameter $\lambda$ = 3, then P(X $\geq$ 2), up to 4 decimal places, is: A. 0.3333. B. 0.5000. C. 0.6667. D. 0.0025.

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Question 75

Given that X is a normal variable, which of the following statements is (are) true? A The variable X+5 is also normally distributed. B The variable X-5 is also normally distributed. C The variable 5X is also normally distributed. D All of these choices are correct.

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Question 76

A supermarket receives a delivery each morning at a time that varies uniformly between 5:00 and 7:00am. a. Find the probability that the delivery on a given morning will occur between 5:30 and 5:45am. b. What is the expected time of delivery? c. Determine the standard deviation of the delivery time. d. Find the probability that the time of delivery will be within half a standard deviation of the expected time.

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Question 77

Like the normal distribution, the exponential density function f(x): A is bell-shaped. B is symmetrical. C approaches infinity as x approaches zero. D approaches zero as x approaches in finity.

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Question 78

Given that Z is a standard normal random variable, P(Z > − 2.68) is: A. 0.0037. B. 0.5037. C. 0.9963. D. 0.4963.

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Question 79

Given that Z is a standard normal variable, the value z for which P(Z $\le$ z) = 0.2580 is: A. 0.70. B. 0.758. C. -0.65. D. 0.242.

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Question 80

Exam 8: Continuous Probability Distributions

For a normal curve, if the mean is 20 minutes and the standard deviation is 5 minutes, the area to the right of 13 minutes is 0.9192.

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).

The function f(x) that defines the probability distribution of a continuous random variable X is a: A binomial function. B normal function. C Poisson function. D probability density function.

If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation equal to: A. 10. B. 13. C. 30. D. 90.

Find the value of σ if it is know that X is normally distributed with mean 5 and 14.92% of the values are above 8? A. 2.14 B. 2.88 C. 3 D. None of these choices are correct.

The mean of any normal distribution is always zero.

The height of the function for a uniform probability density function f(x): A is different for various values of the random variable X . B is the same for various values of the random variable X . C increases as the values of the random variable X increase. D None of these choices are correct.

Which of the following is not true for a random variable X that is uniformly distributed over the interval a≤x≤ba \leq x \leq ba≤x≤b ? A E(X)=(a+b)/2 B V(X)=(b-a/12 C \sigma=(b-a)/6 D f(x)= if a\leqx\leqb

Given that Z is a standard normal random variable, a positive z value means that: A the value z is to the left of the mean. B the value z is to the right of the median. C the z value is to the right of the mean. D both and are correct.

Using the standard normal curve, the z-score representing the 75th percentile is 0.75.

In the exponential distribution, the value of x can be any of an infinite number of values in the given range.

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.

If the random variable X is exponentially distributed with parameter λ\lambdaλ = 3, then P(X ≥\geq≥ 2), up to 4 decimal places, is: A. 0.3333. B. 0.5000. C. 0.6667. D. 0.0025.

Given that X is a normal variable, which of the following statements is (are) true? A The variable X+5 is also normally distributed. B The variable X-5 is also normally distributed. C The variable 5X is also normally distributed. D All of these choices are correct.

Like the normal distribution, the exponential density function f(x): A is bell-shaped. B is symmetrical. C approaches infinity as x approaches zero. D approaches zero as x approaches in finity.

Given that Z is a standard normal random variable, P(Z > − 2.68) is: A. 0.0037. B. 0.5037. C. 0.9963. D. 0.4963.

Given that Z is a standard normal variable, the value z for which P(Z ≤\le≤ z) = 0.2580 is: A. 0.70. B. 0.758. C. -0.65. D. 0.242.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

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).

Which of the following is not true for a random variable X that is uniformly distributed over the interval $a \leq x \leq b$ ? A E(X)=(a+b)/2 B V(X)=(b-a/12 C \sigma=(b-a)/6 D f(x)= if a\leqx\leqb

If the random variable X is exponentially distributed with parameter $\lambda$ = 3, then P(X $\geq$ 2), up to 4 decimal places, is: A. 0.3333. B. 0.5000. C. 0.6667. D. 0.0025.

Given that Z is a standard normal variable, the value z for which P(Z $\le$ z) = 0.2580 is: A. 0.70. B. 0.758. C. -0.65. D. 0.242.