The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.25 0.27 0.30 0.16 0.01
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- In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 154. What is the probability that the sample proportion will be at least 4 percent more than the population proportion?Note: You should carefully round any z-values you calculate to at least 4 decimal places to match wamap's approach and calculations.Answer = ? (Enter your answer as a number accurate to 4 decimal places.)A coffee shops tracks sales and has observed the distribution in the following table. What is the average daily sales that it can expect? # of Sales 145 150 155 160 165 Probability 0.15 0.23 0.37 0.19 0.06 The expected average daily sales is (Type an integer or a decimal. Do not round.)Choose an American household at random and ask how many computers that household owns. Here are the probabilities as of 2009: Number of computers 0 Probability 1 2 3 4 5 0.241 0.412 0.214 0.083 0.032 0.018 What is the expected number of computers owned by a randomly chosen household?
- A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. Number of Days Absent Probability 0 0.60 1 0.20 2 0.12 3 0.04 4 0.04 5 0.00 What is the mode of the distribution?The number of homes sold by a realtor during a month has the following probability distribution: Number Sold Probability 0.20 1. 0.40 2 0.40 What is the expected number of homes sold by the realtor during a month? Multiple Choice 2.The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past Weapon 12 years. Complete parts (a) through (e). Probability Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. 0.472 0.024 0.034 0.144 0.133 0.055 Other 0.138 (a) Is the given table a probability model? Why or why not? O A. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1. O B. No; the sum of the probabilities of all outcomes does not equal 1. OC. No: the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes does not equal 1. OD. Yes; the rules required for a probability model are both met.
- Here is the probability model for the blood type of a randomly chosen person in the United States. Blood type o A Probability 0.54 0.16 0.03 0.27 B АВ What is the probability that a randomly chosen American does not have type O blood? % Round to the nearest 0.01%Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.What is the significance of the mean of a probability distribution? Choose the correct answer below. O A. It represents the most likely possible outcome. B. It is the expected value of a discrete random variable. OC. It can never be negative. OD. It gives information about how the outcomes vary.
- A sociologist surveyed the households in a neighboring town and recorded the number of dependent children in the household. The following probability distribution was created based on the survey. Use the probability distribution to answer the following questions x 0 1 2 3 4 P(x) 0.07 0.20 0.38 0.22 0.13 True or false. The expected number of dependent children in the household must be a whole number because it represents what we expected to get in every householdIn a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 199. What is the probability that the sample proportion will be within 6 percent of the population proportion?Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.A random sample of adults was asked about their highest education level completed. The distribution of results is shown in the table. What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown? 0.04 0.16 0.47 0.84