Question ttotal 30 marksl Consider the following stem and leaf display which rec

Question

Question ttotal 30 marksl Consider the following stem and leaf display which records the weight of the 19 fishes caught by Victor (in kg) on a particular day Stem Leaves (unit-0.1 Data in ascending order (Optional) 0 3 1 5 6 2 1 a89 3 2 3 57s 4 4569 5 4 57 appropriate.) (a) Find the weight of the fish corresponding to the 60th percentile. Marks (b) Find the median. Mark Suppose the inter-quartile range is 2 and the distances between the two unknown weights and the median are the same. Find the value of a and b (c)

Explanation / Answer

Question 4 )

Probability of wining first project is = 0.6

Probability of wining second project is = 0.3

Probability of not wininig second given that he not won first project =0.5

A-> Event of wining first project

B-> Event of wining second project

1)

P(A)= 0.6    -------------( Given )

P(B)=0.3        -------------(Given)

P( B'/A')= 0.5    -------------(Given)

2)

we have to calculate P(A' ^ B')

P(A' ^ B')=P(A')*P(B'/A')=(1-P(A))*P(B'/A')=(1-0.6)*0.5=0.4*0.5=0.02

3)   we have to calculate

P( A ^ B') = P(A)*P(B')=0.6*(1-0.3)=0.6*0.7=0.42

4)

we have to calculate P(A ^ B')+P(A' ^ B)

P(A ^ B')+P(A' ^ B)= P(A)*P(B')+P(A')*P(B)

                            = 0.6*(1-0.3)+(1-0.6)*0.3

                             =0.6*0.7+0.4*0.3

                             = 0.42+0.12

                              =0.54

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