15 The number of flowers which grow on a certain type of plant can be modelled by the discrete random variable \(X\)
The probability distribution of \(X\) is given in the table below.
| \(\boldsymbol { x }\) | 0 | 1 | 2 | 3 | 4 | 5 or more |
| \(\mathbf { P } ( \boldsymbol { X } = \boldsymbol { x } )\) | 0.03 | 0.15 | 0.22 | 0.31 | 0.09 | \(p\) |
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- Find the value of \(p\)
15 - Two plants of this type are randomly selected from a large batch received from a local garden centre.
Find the probability that the two plants will produce a total of three flowers.
[0pt]
[3 marks]
15 - State one assumption necessary for the calculation in part (b) to be valid.
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- (ii) Comment on whether, in reality, this assumption is likely to be valid.