State two assumptions necessary for \(X\) to be modelled by a binomial distribution. \(\_\_\_\_\) [2 marks] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\)
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Assume that \(X\) can be modelled by a binomial distribution. \(\_\_\_\_\) [0pt]
[1 mark]
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(iii) Find \(\mathrm { P } ( X \geq 10 )\)
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In a random sample of 10 calls to a school, the number of calls which are complaints, \(Y\), may be modelled by a binomial distribution
$$Y \sim \mathrm {~B} ( 10 , p )$$
The standard deviation of \(Y\) is 1.5
Calculate the possible values of \(p\).