42. Which number best represents this set of data: 5, 5, 5, 6, 5, 5, 5, 6, 200?
a. mean
b. median
I don't really understand this question but I'm guessing it's B..
46. After flipping 13 consecutive "heads" on a fair coin, what is the probability of flipping "heads" on the next try?
49. If the first three digits of someone's phone number (do no include area code) are 555, how many different phone numbers could they have?
50. Suppose you use five different letters to make a computer password. Find the number of possible five letter passwords.
Thanks
-MC
42.
The value of 200 would really "trow off" the mean, but not the median, so I would agree with your choice.
46. Unless you have a magic coin that "remembers" what went before, the 14th flip has a prob of heads of 1/2
49. since each of the remaining 4 digits could be one of 10 digits, there would be 10^4 or 10000 of them
50. What is 26x26x26x26x26 ?
Thanks so much!
-MC
42. The best number that represents this set of data is the median.
46. The probability of flipping "heads" on the next try after flipping 13 consecutive "heads" on a fair coin is still 1/2 or 0.5. Each coin flip is independent and the previous results do not affect the outcome of the next flip.
49. If the first three digits of someone's phone number are 555, there are 1000 different phone numbers they could have. The last four digits can be any number from 0000 to 9999, resulting in a total of 10,000 possibilities. However, 555-xxxx is reserved for special use in the North American Numbering Plan, so only 10,000 - 1 = 9,999 numbers are actually available.
50. If you use five different letters to make a computer password, the number of possible five-letter passwords is given by the permutation formula. It can be calculated as 5! = 5 x 4 x 3 x 2 x 1 = 120. So there are 120 different possible five-letter passwords.
42. To determine the best number that represents a set of data, you need to consider either the mean or the median. The mean is the average of all the numbers in the set, while the median is the middle value when the numbers are arranged in increasing or decreasing order.
In this case, the set of data is: 5, 5, 5, 6, 5, 5, 5, 6, 200.
To find the mean, you would sum up all the numbers in the set and divide by the total number of values. So, the mean would be (5 + 5 + 5 + 6 + 5 + 5 + 5 + 6 + 200) / 9 = 41.
To find the median, you would need to arrange the numbers in increasing or decreasing order. In this case, the set arranged in increasing order would be: 5, 5, 5, 5, 5, 5, 6, 6, 200. The median is the middle value, which is 5 in this case.
Therefore, the number that best represents this set of data is:
a. mean (41)
46. The probability of flipping a fair coin and getting heads is always 1/2, regardless of the previous outcomes. Each flip of a fair coin is an independent event, which means the outcome of the previous flip does not affect the probability of the next flip. Therefore, the probability of flipping heads on the next try is 1/2.
49. If the first three digits of someone's phone number are 555, there are 10 possibilities for the last four digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). This is because each of the four digits can be any number from 0 to 9. So, the number of different phone numbers they could have is 10^4 = 10,000.
50. To find the number of possible five-letter passwords using five different letters, you need to consider the number of choices for each position. Since there are five different letters, there are five choices for the first position, four choices for the second position, three choices for the third position, two choices for the fourth position, and one choice for the fifth position.
So, the number of possible five-letter passwords would be 5 × 4 × 3 × 2 × 1 = 120.