Students in a college were classified according to years in school (X) and number of visits to a museum in the last year (Y = 0 for no visits, 1 for one visit, 2 for more than one visit). The joint probabilities in the accompanying table were estimated for these random variables. Number ofVisits (Y) Years in School (X) 1 2 3 4 0 1 2 0.07 0.13 0.04 0.05 0.11 0.04 0.03 0.17 0.09 0.02 0.15 0.10 a. Find the probability that a randomly chosen student has not visited a museum in the last year.b. Find the means of the random variables X and Y.c. Find and interpret the covariance between the random variables X and Y.

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Students in a college were classified according to years in school (X) and number of visits to a museum in the last year (Y = 0 for no visits, 1 for one visit, 2 for more than one visit). The joint probabilities in the accompanying table were estimated for these random variables.

Number of
Visits (Y)
Years in School (X)
1 2 3 4

0

1

2

0.07

0.13

0.04

0.05

0.11

0.04

0.03

0.17

0.09

0.02

0.15

0.10

a. Find the probability that a randomly chosen student has not visited a museum in the last year.
b. Find the means of the random variables X and Y.
c. Find and interpret the covariance between the random variables X and Y.

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