15. An urn contains 4 red, 14 green, and 8 orange balls. Four different balls ar

Question

15. An urn contains 4 red, 14 green, and 8 orange balls. Four different balls are selected at random from this urn. What is the probability all are orange? (Round to 4 decimal places.) a. 0.0047 b. 0.9953 c. 0.2047 d. 0.7953 e. None of the above 16. The table below gives the probability distribution for the random variable X: the number of customers arriving in a bank during an arbitrary 10-minute period. Number of Customers (x) 0 Probability P(x) 0.14 0.21 0.35 0.13 0.09 0.08 What is the probability at least 2 customers arrive at this bank during the next 10 minutes? a, 21% b. 30% c. 35% d, 65% e. None of the above 17. Brad has been keeping track of the color of M and M's. In the last 10 bags he has opened, he has gotten a total of 1200 candies of which 420 were red. Brad is now going to randomly select one candy from a newly opened bag of M and M's. If he states that the probability the candy will be red is 35%, what concept of probability is he using? a. The classical concept b. The relative frequency (empirical) concept c. The subjective concept d. The independence concept e. None of the above

Explanation / Answer

Ans:

15)P(all are orange)=8C4/26C4=(8*7*6*5)/(26*25*24*23)=0.0047

Option a is correct(0.0047)

16)

P(x>=2)=1-P(x=0)-P(x=1)=1-0.14-0.21=1-0.35=0.65 or 65%

Option d is correct(65%)

17)The empirical probability of an event is found through observations and experiments. It is the likelihood that the event will happen based on the results of data collected.

P(red)=420/1200=0.35 or 35%

Option b is correct(The relative frequency(emirical) concept)

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