The table below shows five scenarios involving different random variables. Complete the table by placing a cross (×) in the correct box to indicate whether the random variable can be modelled by a binomial distribution, a normal distribution or neither. The first scenario is completed for you.
Scenario | Binomial | Normal | Neither |
The digits 1 to 9 are written on individual counters and placed in a bag. A child randomly selects one of the nine counters at a time and replaces it after reading the number. The random variable represents how many times the child selects a counter until the '5' is selected. | |||
A farmer has many hens. The random variable represents the mass of a randomly selected hen. | |||
A fair coin is flipped 100 times. The random variable represents the number of times it lands on tails. | |||
A teacher has a 30-minute break for lunch. The random variable represents the number of emails he receives during his lunch break. | |||
In a class of 30 students, each student rolls a fair six-sided dice with sides labelled 1 to 6. The random variable represents the number of students who roll a number less than 5. |
Write down the name of the probability distribution of , the random variable described in part (a).
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