Activity 6 Probability Distributions ofthe following are discrete or continuous

Question

Activity 6 Probability Distributions ofthe following are discrete or continuous random variables? Describe which (a) The heights of students in a high school class. (b) The weights, to the nearest kg, of students in a high school class. (c) The number of runs scored in a cricket match in Brisbane in 2002. (d) The number of consecutive heads obtained when repeatedly tossing a coin. (e) The price, per liter of gas, in randomly selected stations in Oregon. (t The actual volume of gas in the 1000 liter 'unleaded gas' tanks at those same stations after being 1. filled by a tanker. 2. Five coins are tossed simultaneously and the number of heads is recorded (a) Tabulate the probability distribution for the number of heads.

Explanation / Answer

Answer to this question is as follows:

a. Is continous, because it can hold any positive value

b. Is discrete, as we are rounding weight off to nearest kg

c. Is discrete, as runs can't be in decimals, they have to in integers

d. Is also discrete, can't be in decimals or fractions

e. Is continous, as it can take any value

f. Is continous, as it can take any value, even fractions/decimals

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