Step 1 (a) Convert the percentages to probabilities and make a histogram of the probability distribution. Since the events are mutually exclusive and the sum of the given percentages is 100%, we can treat the given information as a probability distribution. Recall that a probability, P(x), is a number between O and 1. One way to convert the given percentages to decimals is by moving the understood decimal to the left two places and dropping the percent sign. Alternately, this process can be described as dividing by 100 and dropping the percent sign. 4 or more 46% 33% 17% 3% 1% 0.01 0.33 0.33 0.17 0.03 0.03 P(x) 0.46 0.17 0.01 Step 2 Now, use the data in the table to make a histogram of the probability distribution. х 4 or more P(x) 0.46 0.33 0.17 0.03 0.01 Recall that the height of each bar in a histogram indicates the class frequency. So to construct the histogram, put the x values on the horizontal axis and the probabilities on the vertical v vertical axis. Since the data are discrete, each class mark will be centered over the x value. There are five classes in the table, so there are 5- 5 vertical bars on the histogram. Select the histogram of the probability distribution. ast 04 04 0.2 0.2 4 or more 4 or more 04 04 0.2 0.2 4 or more 4 or more Step 3 (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. The fisherman catches one or more fish if he catches exactly one fish, or exactly two fish, or exactly three fish, or if he catches 4 or more fish. However, there is only one event in which a fisherman does not catch one or more fish. A fisherman does not catch one or more fish when exactly 58 are caught. x fish (xH (x

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Step 1
(a) Convert the percentages to probabilities and make a histogram of the
probability distribution.
Since the events are mutually exclusive and the sum of the given percentages
is 100%, we can treat the given information as a probability distribution.
Recall that a probability, P(x), is a number between O and 1. One way to
convert the given percentages to decimals is by moving the understood decimal
to the left two places and dropping the percent sign. Alternately, this process
can be described as dividing by 100 and dropping the percent sign.
4 or more
46%
33%
17%
3%
1%
0.01
0.33
0.33
0.17
0.03
0.03
P(x)
0.46
0.17
0.01
Step 2
Now, use the data in the table to make a histogram of the probability
distribution.
х
4 or more
P(x) 0.46
0.33
0.17
0.03
0.01
Recall that the height of each bar in a histogram indicates the class frequency.
So to construct the histogram, put the x values on the horizontal axis and the
probabilities on the vertical v vertical axis. Since the data are discrete,
each class mark will be centered over the x value. There are five classes in the
table, so there are 5- 5 vertical bars on the histogram. Select the
histogram of the probability distribution.
ast
04
04
0.2
0.2
4 or more
4 or more
04
04
0.2
0.2
4 or more
4 or more
Step 3
(b) Find the probability that a fisherman selected at random fishing from
shore catches one or more fish in a 6-hour period.
The fisherman catches one or more fish if he catches exactly one fish, or
exactly two fish, or exactly three fish, or if he catches 4 or more fish. However,
there is only one event in which a fisherman does not catch one or more fish.
A fisherman does not catch one or more fish when exactly 58
are caught.
x fish
(xH
(x
Transcribed Image Text:Step 1 (a) Convert the percentages to probabilities and make a histogram of the probability distribution. Since the events are mutually exclusive and the sum of the given percentages is 100%, we can treat the given information as a probability distribution. Recall that a probability, P(x), is a number between O and 1. One way to convert the given percentages to decimals is by moving the understood decimal to the left two places and dropping the percent sign. Alternately, this process can be described as dividing by 100 and dropping the percent sign. 4 or more 46% 33% 17% 3% 1% 0.01 0.33 0.33 0.17 0.03 0.03 P(x) 0.46 0.17 0.01 Step 2 Now, use the data in the table to make a histogram of the probability distribution. х 4 or more P(x) 0.46 0.33 0.17 0.03 0.01 Recall that the height of each bar in a histogram indicates the class frequency. So to construct the histogram, put the x values on the horizontal axis and the probabilities on the vertical v vertical axis. Since the data are discrete, each class mark will be centered over the x value. There are five classes in the table, so there are 5- 5 vertical bars on the histogram. Select the histogram of the probability distribution. ast 04 04 0.2 0.2 4 or more 4 or more 04 04 0.2 0.2 4 or more 4 or more Step 3 (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. The fisherman catches one or more fish if he catches exactly one fish, or exactly two fish, or exactly three fish, or if he catches 4 or more fish. However, there is only one event in which a fisherman does not catch one or more fish. A fisherman does not catch one or more fish when exactly 58 are caught. x fish (xH (x
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