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Chapter 5: Q1 (page 220)
Is a probability distribution defined if the only possible values of a random variable are 0, 1,2, 3, and P(0) = P(1) = P(2) = P(3) = 1/3?
No, the probability distribution is not defined if the only possible values of a random variable are 0, 1,2, 3, and .
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Identifying Binomial Distributions. In Exercises 5鈥�12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.
LOL In a U.S. Cellular survey of 500 smartphone users, subjects are asked if they find abbreviations (such as LOL or BFF) annoying, and each response was recorded as 鈥測es鈥� or 鈥渙ther.鈥�
In Exercises 7鈥�14, determine whether a probability
distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are not satisfied.
When conducting research on color blindness in males, a researcher forms random groups with fivemales in each group. The random variable xis the number of males in the group who have a form of color blindness (based on data from the National Institutes of Health).
x | P(x) |
0 | 0.659 |
1 | 0.287 |
2 | 0.05 |
3 | 0.004 |
4 | 0.001 |
5 | 0+ |
The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.
0 0 1 2 17 28 21 8
a. Find the mean.
b. Find the median.
c. Find the mode.
d. Find the range.
e. Find the standard deviation.
f. Find the variance.
g. Use the range rule of thumb to identify the values separating significant values from those that are not significant.
h. Based on the result from part (g), do any of the planets have a number of moons that is significantly low or significantly high? Why or why not?
i. What is the level of measurement of the data: nominal, ordinal, interval, or ratio?
j. Are the data discrete or continuous?
In Exercises 7鈥�14, determine whether a probability
distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.
Ted is not particularly creative. He uses the pickupline 鈥淚f I could rearrange the alphabet, I鈥檇 put U and I together.鈥漈he random variable xis the number of women Ted approachesbefore encountering one who reacts positively.
x | P(x) |
1 | 0.001 |
2 | 0.009 |
3 | 0.030 |
4 | 0.060 |
In Exercises 7鈥�14, determine whether a probability
distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.
In a Microsoft Instant Messaging survey, respondents were asked to choose the most fun way to flirt, and the accompanying table is based on the results.
x | P(x) |
0.06 | |
In person | 0.55 |
Instant message | 0.24 |
Text message | 0.15 |
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