Genetic theory predicts that, in the second generation of a cross of sweet pea plants, blossoms will be either red or white, with each plant independently having a 3/4 chance of producing red blossoms.
Out of 15 plants selected at random from the second generation of this cross, let X be the number that have red blossoms.
(a) What is the probability distribution of X?
(b) Calculate:
(i) the mean and standard deviation of X. (ii) P(X>9) [2] (iii) P(8≤X≤12)
(c) If fewer than 6 of the 15 plants were red, would this be an unusual sample? Justify your answer.
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2014-04-15T12:42:32-0400
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