Question1: a) For a particular data with fivepair of values: The fitted lineis y

ID: 2954817 • Letter: Q

Question

Question1:

a) For a particular data with fivepair of values:

The fitted lineis y = -1+0.5x

Find thestandard error of estimate,

b) Two least square regression linesare given by

Y = 2.64 + 10.83 X

And

X = -1.91 + 6.18 Y

Are these linespossible for any data set? Explain your answer:

c) Two dice are rolled. Make a samplespace also find the probability that

i. The sum of the outcomes is equal to 10.

ii. The sum of the outcomes is equal to 7.

iii. The sum of the outcomes is equal to 1.

Question2:

a) If S= {1, 2, 3, 4, 5, 6}, A = {1,2, 3, 4} and B = {3, 4, 5, 6}, then verify whether A and B areindependent?

b) Indicate whether the followingstatement is true or false for three mutually exclusive events A, Band C. Justify your answer.

Question3:

a) If we draw a card from an ordinarydeck of 52 playing cards. Can king and diamond be mutuallyexclusive events? Give reason to support your answer.

b) A marble is drawn at random from abox containing 10 red, 30 white, 20 blue and 15 orange marbles.

Find the probability that the drawn marble is

i. orange or red

ii. not – ‘red or blue’

iii. not blue

iv. red, white or blue.

which question would you like answered.??????

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