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estion 3. (20 pts.) a) William (the student) remembers to take his umbrella with him 80% of the days. It rains on 30% of the days when he remembers to take his un tren and it rains on 60% of the days when he forgets to take his umbrella. is the probability that he remembers his umbrella when it rains?
Question1. (20 pts.) a) For the group of data of a size 10, we have 5.5I 01) 385 then evaluate the variance of these data. b) According to the following ogive graph, find the probability that the data belongs to theo class beetwen 10 to 20: 80 60 40 20 1to 9 10 to 19 20 to 29 30 to 39 40 to 49 Class Boundaries
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Answer #1

TOPIC:

1.Use of Bayes' Theorem;

2.Formula of sample variance;

3.Finding the probability from an Ogive.

g-》-9 λ.line the daklowing events as u 8 die memem bers his umbrella . au R It rains that d ノ given that, PI and, t (RI vs) = 0, 60. , we med members his umbrelle o 80 x 0.30 0 24 0-29 2_6663] 10,

Here,we have applied the formula of probability using the Bayes' Theorem.

Given Σ (x), 385. that , ial We know, vardande lo-I 385 302 5 Fromtheven sive, we dind the ogive varies drome (20%-40 y) don the dass the percentage values don tha dmeguendes. Since, tha iven data is contn uo u as class-boundari es areven in cumulative prshab: it that the dat batonys to the las bebweev to to lo, io thea x-axis, Exprosed decimalk)

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