From a portion of a probability distribution,you read that P(demand = 0)is 0.05,P(demand = 1)is 0.10,and P(demand = 2)is 0.20.What are the two-digit random number intervals for this distribution beginning with 01?
A)01 through 05,01 through 10,and 01 through 20
B)00 through 04,05 through 14,and 15 through 34
C)01 through 05,06 through 15,and 16 through 35
D)00 through 04,00 through 09,and 00 through 19
E)01 through 06,07 through 16,and 17 through 36

Question

Quizplus · Accepted Answer

We need to find the intervals for each demand level that correspond to the given probabilities. We start with the lowest interval, which is for demand = 0. The probability given is P(demand = 0) = 0.05, which means that 5% of the time the demand is 0. To find the corresponding range of two-digit numbers, we start with 01 and add the smallest possible number of random digits that would result in a number less than or equal to 05. This can only be 00, so the interval for demand = 0 is 01-05.

Next, we move on to demand = 1. The probability given is P(demand = 1) = 0.10, which means that 10% of the time the demand is 1. To find the corresponding range of two-digit numbers, we start with 01 and add the smallest possible number of random digits that would result in a number greater than 05 but less than or equal to 15 (since this range includes the previous interval). The smallest such number is 06, so the interval for demand = 1 is 06-15.

Finally, we move on to demand = 2. The probability given is P(demand = 2) = 0.20, which means that 20% of the time the demand is 2. To find the corresponding range of two-digit numbers, we start with 01 and add the smallest possible number of random digits that would result in a number greater than 15 but less than or equal to 35 (since this range includes the previous intervals). The smallest such number is 16, so the interval for demand = 2 is 16-35.

Putting these intervals together, we get answer choice C: 01-05, 06-15, and 16-35.

From a Portion of a Probability Distribution,you Read That P(demand