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Question
Choose the correct alternative:
Which one is not an example of random experiment?
Options
A coin is tossed and the outcome is either a head or a tail
A six-sided die is rolled
Some number of persons will be admitted to a hospital emergency room during any hour
All medical insurance claims received by a company in a given year
Solution
All medical insurance claims received by a company in a given year
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The discrete random variable X has the probability function.
| Value of X = x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| P(x) | 0 | k | 2k | 2k | 3k | k2 | 2k2 | 7k2 + k |
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Define dicrete random Variable
Distinguish between discrete and continuous random variables.
Explain the distribution function of a random variable
Choose the correct alternative:
The probability density function p(x) cannot exceed
The probability distribution function of a discrete random variable X is
f(x) = `{{:(2k",", x = 1),(3k",", x = 3),(4k",", x = 5),(0",", "otherwise"):}`
where k is some constant. Find k
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f(x) = `{{:("a" + "b"x^2",", 0 ≤ x ≤ 1),(0",", "otherwise"):}`
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