answer only question no. 4 What components do you need in order to build a proba
ID: 83812 • Letter: A
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answer only question no. 4
What components do you need in order to build a probabilistic model? Explain. Let A_1, ... A_n, be disjoint events that form a partition of the sample space, and assume that P(A_i) > 0 for all i = 1... n. Write down the general statement of probability of the event B (illustrated in the figure below for n = 3) If event B is definite evidence of a disease an A_1, .... A_3, are probable causes, write the expression for the probability that A_2 is the cause? An experiment involves two successive rolls of a fair four-sided dice. Let the event A = {the 1^st roll is 1} and event B = {the sum of two rolls is 4}. Are the events A and B independent? Next, you are given additional information that the event D = {the outcome of the two rolls were different} has occurred. Are events A and B conditionally independent of event D? A student crossed 30 plants of a species with Red flowers with 30 plants that have White flowers and obtained 40 offspring. Among the offspring only 10 were red. If a different student carried out a similar cross with 5 pairs of Red- and white-flowered plants and obtained 10 offspring, what the probability that none of the 10 offspring have Red flowers?Explanation / Answer
The probability of generated offsprings is=( no of offsrpoing with red flower / total no of offsprings) =10/40=1/4
So, the red colour represents the recessive allele if the genes are independently assorted. Similar like last one in case of second experiment also, the probability of generation of red flower is ¼ means out of 10 atleast 2.5 or 3 should be red flower. As the not occurring % is maximum 75% in this case thus it is not possible all the flowers are not red out 10.
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