Maps NPC. License plates: In a certain state, license plates consist of three digits from 0 to 9 followed by three letters. Assumic unit ....- and letters are chosen at random. Replicates are allowed. Part 1 of 3 V Following is the probability distribution of a random variable that represents the number of x 0 1 2 3 (a) How many different license plates can be formed? P(x) 0.07 0.14 0.45 0.21 0.13 The number of different license plates is |17,576,000 . Send data to Excel Part 2 of 3 Part 1 of 3 V (b) How many different license plates have the letters T-I-M in that order? (a) Find the probability that a student participates in exactly two activities. The number of different license plates that have T-I-M in that order is 1000 . The probability that a student exactly two activities is 0.45 . Part: 1 / 3 Part : 2 / 3 Part 2 of 3 Part 3 of 3 ( b ) Find the probability that a s more than two activities . () If your name is Tim, what is the probability that your name is on your license decimal, rounded to at least 7 places. our answer as a fraction or a ties is The probability that Tim is on your license plate is Committee: The Student Council at a certain school has eight members. Four members will form an executive committee consisting of a president, a vice president, a secretary, and a treasurer. part 1 of 4 In how many ways can these four positions be filled? There are |1680 ways to fill the four positions. Part: 1 / 4 Part 2 of 4 In how many ways can four people be ch the executive committee if it does not matter who gets which position? There are ways to choose four people for the executive committee if it does not matter gets whichposition. X Question 8 of 8 (1 point) | Attempt 1 of Unlimited | View question in a popup Choosing officers: A committee consists of twelve women and eleven men. Four committee members will be chosen as officers. Part 1 of 4 V How many different choices are possible? There are |8855 different possible choices. Part: 1 / 4 Part 2 of 4 How many different choices are possible if all the officers are to be women ? There are |70 different choices possible if all the officers are to be women.Following is the probability distribution for age of a student at a certain public high school. * 13 14 15 16 17 P (x) 0.08 0.23 0.25 0.28 0.14 0.02 Send data to Excel Part 1 of 2 ( a ) Find the variance of the ages. Round the answer to at least four decimal places. The variance of the ages is 1.5171 . Part : 1 / 2 Part 2 of 2 (b ) Find the standard deviation of the ages. Round the answer to at least four decimal places. The standard deviation of the ages is 5.1 Section Exercise 3 Question 10 of 11 (1 point ) | Attempt 1 of Unlimited | View question in a popup Compute the mean and standard deviation of the random variable with the given discrete probability distribution. P(x) 0.11 - 3 0.18 0.22 0.49 Send data to Excel Part : 0 / 2 Part 1 of 2 ( a ) Find the mean. Round the answer to three decimal places, if necessary . The mean is Determine whether the table represents a discrete probability distribution. Explain why or why not. P (x) 100 0.2 200 0.3 300 0.5 400 0.4 500 0.1 Send data to Excel The table (Choose one) Y |represent a discrete probability distribution because (Choose one) Following is the probability distribution for the age of a student at a certain public high school. x 13 14 15 16 17 P (x) 0.08 0.24 0.23 0.28 0.15 0. Send data to Excel Part : 0 / 2 Part 1 of 2 (a) Find the standard deviation of the ages. Round the answer to four decimal places. The standard deviation of the ages is