Question

2. The following table represents a discrete probability distribution for a random variable. Fill in the missing values sothat the results make sense; then, answer the questions.4Possible ValueProbability5 10 12 157220.32 0.2777?0.08ab.What is the probability that this random variable takes on a value of 4 or 5?What is the probability that the value of the random variable is not 15?Which possible value is least likely?

Answer 1

Number of Values = 5

Then

a.) Probability of 4 or 5

Sum of probabilities = 1

1 = 0.08 + 0.32 + 0.27 + X + Y

Then

X + Y = 1 - 0.08 - 0.32 - 0.27 = 0.33

X = 0.06 ,and Y = 0.27

Then probabilty of 4 ,5 = 0.08+0.06 = 0.14

b.) Probabilty of NOT 15

= Prob of 4,5,10,12

= 0.08+0.06 + 0.32+0.27

= 0.73

c) Which value, least likely

= Probability of 5 = 0.06

then

5 is the least likely value