1. Toss a fair coin once. Let X be the number of tails that occur. Find the probability mass function of X. the suits of th

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Toss a fair coin once. Let X be the number of tails that occur. Find the probability
mass function of X.
2. Draw a random card from a standard deck of cards. Let x denote the suits of that
random card. Find the probability mass function of X.
3. Toss a pair of dice. Let X be the maximum value of the two tosses. For example, if
one die shows 3 while the other die shows 5, then X 5. Find the probability mass
function of X and graph it using the histogram.
4 A certain business company has five active
telephone lines. Let x denote the number of
lines in use at a particular time of day. The
probability mass function of X is given below.
2
3
0.05
0.15
0.28
0.34
0.16
0.02
Find the probability that at least 3 telephone lines are in use at a particular time of
day.
Transcribed Image Text:1. Toss a fair coin once. Let X be the number of tails that occur. Find the probability mass function of X. 2. Draw a random card from a standard deck of cards. Let x denote the suits of that random card. Find the probability mass function of X. 3. Toss a pair of dice. Let X be the maximum value of the two tosses. For example, if one die shows 3 while the other die shows 5, then X 5. Find the probability mass function of X and graph it using the histogram. 4 A certain business company has five active telephone lines. Let x denote the number of lines in use at a particular time of day. The probability mass function of X is given below. 2 3 0.05 0.15 0.28 0.34 0.16 0.02 Find the probability that at least 3 telephone lines are in use at a particular time of day.
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