61% of all statistics classes require a statistical calculator and 29% require the use of a computer that has statistical software of the classes that require a statistical calculator 16% also require the use of a computer if statistics course is selected at random find probability of statistical calculator

Step-by-step explanation:

Given

61% of all statistics classes require a statistical calculator.

29% require the use of a computer that has statistical software.

of the classes that require a statistical calculator 16% also require the use of a computer.

if statistics course is selected at random find probability of statistical calculator.

Events

A = calculator

O = computer

P(A) = 0.61

P(O) = 0.29

P(A and O) = 0.16*0.61 = 0.0976

if statistics course is selected at random find probability of statistical calculator.

Answer is part of information given  : P(A) = 0.61

P(calculator | computer)

= P(A & O)/P(O)

= 0.0976/0.29

= 976/2900

= 244/725

(=0.33655 approx.)

p(computer given calculator)

P(O|A) = P(A & O)/P(A)

= 0.0976/0.61

= 976/6100

= 0.16  (as per given information)

Are they mutually exclusive (they means P(calculator | computer) and p(computer given calculator)  ??)

They are not mutually exclusive.  

They are referring to the same thing: classes that use both, BUT using a different sample space.

are they independent

They are not independent.  If they are, the conditional probabilities would be both zero.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.