Ls4202_midsem_2017 please answer only question no.4. (2marks) O1. What component

Question

Ls4202_midsem_2017

please answer only question no.4. (2marks)

O1. What components do you need in order to build a probabshe M3e (ó2. Let Ai....A for al i-1,·.. n. below for n-3) be disjoint events that form a partition of the sample space, and assume that PA)o write down the general statement of probability of the event B (illustrated in the figure A1 If event B is definite evidence of a disease and A...ts are probable causes write the expression for the probability that Az is the cause? Areisetmen hiane eirol 11 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 involvés two events A and B conditionally independent of event D? A student crossed 30 plants of a species with Red flowers with 30 plants that ave White fowers and obtained 40 offispring. 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 is the probability that none of the 10 offispring have Red flowers? 10

Explanation / Answer

10 red in 40 offspring

X = number of red flowersi n 10 offspring

X follow binomial disribution with n = 10 , p = 10/40 = 1/4

P(X = 0) = (1-p)^n

= (3/4)^10

=0.0563135147

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