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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Let X be a random variable with probability density function
3
f(x) = ,a², –1 < = <1
2
Which of the following is the probability density function of Y = X – 1?

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Which of the following tables shows a valid probability density function? Select all correct answers. Select all that apply: x P(X=x) 0 14 1 38 2 38 x P(X=x) 0 18 1 18 2 34 x P(X=x) 0 −310 1 110 2 15 3 1 x P(X=x) 0 0.74 1 0.0 2 0.54 x P(X=x) 0 110 1 15 2 35 x P(X=x) 0 0.18 1 0.76 2 0.0
Find the probability functions for the following: a. X + Y b. XY c. X/Y
Example 2: Consider the following function shown below, Use it to answer the following questions. x3 P(x) = 9' x = 0,1,2 a) Determine whether or not the function shown above is a valid probability function. b) Construct a probability histogram for the function shown above and comment on the shape. domye c) Find P(x > 1)
Let y be the random variable with the time to hear an owl from your room's open window (in hours). Assume that the probability that you still need to wait to hear the owl after y hours is one of the following: the probability is given by 0. 47e-4y + 0. 52e-5y Find the probability that you need to wait between 2 and 4 hours to hear the owl, compute and display the probability density function graph as well as a histogram by the minute. Compute and display in the graphics the mean, variance, and quartiles of the waiting times. Please pay attention to the various units of time!
The table below shows a probability density function far the discrete random variable X, the number of errors found in a machine during a monthly quality control inspection at a food production facility. What is the probability that X is 1, 2, or 37 • Provide the final answer as a fraction. P(X = x) 1/10 1. 3/10 1/20 3 3/20 4 2/5
1. Decide if the function graphed below is a probability density function (pdf) or a cumulative distribution function (cdf). Also, find the value e. 2c 4 8.
3 Let X be the number of siblings of WSU students. The pdf of X is: f(x) = (5-x)/15 for x = 0, 1, 2, 3, 4 What is the probability that a randomly selected student has 3 or more siblings if it is known that they are not an only child X 0.133 X 0.2 / 0.3 O X 0.667 X 0.933
1. or a cumulative distribution function (edf). Decide if the function graphed below is a probability density function (pdf) 2c 4 8.
The table below shows a probability density function for a discrete random variable X, the number of technological devices per household in a small city. What is the probability that X is 0, 2, or 3? Provide the final answer as a fraction. x P(X = x) 0 3/20 1 1/20 2 1/4 3 3/10 4 1/5 5 1/20
Let X represent the number of tires with low air pressure on a randomly chosen car. a. Which of the three functions below is a possible probability mass function of X? Explain. 1 2 3 4 P1(x) 0.2 0.2 0.3 0.1 0.1 Р.(х) 0.3 0.1 0.3 0.2 0.2 Рэ(х) 0.1 0.2 0.4 0.2 0.1 b. For the possible probability mass function, compute Hx and
Which statements below are true for a probability distribution function (pdf), f(x)? The total area under f(x) is equal to 1. f(x) is non-decreasing f(x) is a probability f(x) is non-negative x is non-negative
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