Exam 8: Continuous Distributions

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The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. What is the probability that a randomly selected bulb would last fewer than 940 hours?

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Question 61

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\lt$ 7) is ___.

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Question 62

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(-2.25 < z < -1.1)?

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Question 63

Let z be a normal random variable with mean 0 and standard deviation 1. The 50^th percentile of z is ___.

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Question 64

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The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. What is the probability that a randomly selected bulb would last fewer than 940 hours?

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\lt$ 7) is ___.

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(-2.25 < z < -1.1)?

Let z be a normal random variable with mean 0 and standard deviation 1. The 50^th percentile of z is ___.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

Exam 8: Continuous Distributions

The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. What is the probability that a randomly selected bulb would last fewer than 940 hours?

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then P(x <\lt< 7) is ___.

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(-2.25 < z < -1.1)?

Let z be a normal random variable with mean 0 and standard deviation 1. The 50th percentile of z is ___.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\lt$ 7) is ___.

Let z be a normal random variable with mean 0 and standard deviation 1. The 50^th percentile of z is ___.