The following is a probability distribution for the number of children in a randomly selected household.             Children                      Frequency                   0                                 20.0                   1                                 42.5                   2                                 27.5                   3                                   7.5                   4                                   2.5 For a randomly selected household, let Y denote the number of children in that household. a) Identify the possible values of the random variable Y. b) Use random variable notation to represent the event the event that a household has exactly 2 children in it. c) Determine P(Y=y); interpret it in terms of percentages. d) Use random variable notation to represent the event a household has between 1 and 3 children, inclusive. e) Determine P(1 lesser than ylesser than 3)

The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? (Type a decimal rounded to three decimal places as needed.) P(rifle or shotgun) = Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. B. If 1000 murders were randomly selected, we would expect about of the to have resulted from a rifle or shoto (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders…

Construct a probability distribution for tossing four coins. Firstdetermine the sample space, and then create the probability distribution. Let X represent the number of heads.

Giving a test to a group of students, the grades and gender are summarized below A 14 B Male Female 12 Total 26 32 20 19 13 Submit Question C 17 3 Total 50 28 78 If one student is chosen at random, Find the probability that the student was femalle OR got an "B".

An urn contains 2 red and 2 green marbles. We pick a marble, record its color, and replace it. We repeat this procedure a second and a third time. The probability distribution for the number of red marbles is given below. Number of red marbles 0 1 2 3 Probability 1/8 3/8 3/8 1/8 For this distribution, the probability of 2 or more red marbles is given by:   a. 1/4.   b. 3/8.   c. 6/8.   d. 1/2.

Consider the list of numbers 2,3,4. The following table includes the 9 possible combinations of choosing two numbers, with replacement, from this list. The sample means for each combination have already been calculated. Sample Mean T 2 2.5 3 2.5 3 2 2.5 3 3.5 Sample 2,2 2,3 2,4 3,2 Use the table above to construct a probability distribution. Sample Mean 4 3,3 3,4 4,2 4,3 4,4 Frequency 1 2 q q co 2 1 3.5 3 8 3.5 4 P(x) X X X X X

. A sample of 200 people was asked their favorite genre of music. Below are the results. Gender Rock Pop Hip-Hop Other Male 31 20 37 12 Female 17 30 19 34   If one of those people is randomly selected, find the probability that the person is a female or their favorite genre of music is Hip-hop. Round to three decimal places as needed. If one of those people is random selected, find the probability that the person’s favorite genre of music is Pop, given that the person is a male. Round to three decimal places as needed.

The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. 0.108 (Type an integer or a decimal. Do not round.) - Probability Distribution for x Number of Girls x 0 1 2 3 4 5 6 7 8 Print P(x) 0.002 0.025 0.105 0.189 0.358 0.189 0.105 0.025 0.002 Done X

K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X