Question

Question Completion Status: QUESTION 40 х The number of ships, x, to arrive at a harbor on any given day has the following probability distribution. To verify the distribution of x is a valid discrete probability distribution you must show which of the following? 10 11 12 13 14 P(x) 0.4 0.2 0.1 0.1 The outcomes for x are countable which implies they are specific points on the real number line Os P(x) s 1, for all x o P(x) = 1 0.2 All of the above

Answer 1

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40 all of the above

41)

Expected Value of x= 10*0.4+11*0.2+12*0.2+13*0.1+14*0.1=4+2.2+2.4+1.3+1.4=11.3

The expected value of x= 11.3

42)

The empirical rule shows that 68% falls within the first standard deviation (µ ± σ)

Given µ=85

σ=25

Now µ - σ=85-25=60

µ +σ=85+25=110

The 68% will fall between 60 and 110.