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Suppose that on the average 1 person in 1000 makes makes a numerical error in preparing his income tax return. If 10,000 forms are selected at random and examined,
a. Using Chebyshev's theorem, find and interpret the interval:
b. Find the probability that 6, 7, or 8 of the forms will be in error
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- According to research, 55% of millennials (those born between 1981 and 1997) reported using a library or bookmobile within the last year. Suppose that a random sample of 200 millennials is taken. Complete parts a and b below. Since 195 is a. Complete this sentence: We would expect We would expect 110 of the sample to have used a library or bookmobile within the last year, give or take (Round to the nearest integer as needed.) b. Would it be surprising to find that 195 of the sample have used a library or bookmobile within the last year? Why or why not? be surprising. ▼than 2 of the sample to have used a library or bookmobile within the last year, give or take 1. from the itThe probability of someone getting covid positive is 0.6, the probability of someone dying suddenly given that he/she is covid positive is 0.3 and the probability of someone dying suddenly given that he/she is not covid positive is 0.1. Let’s say, someone just died. a. What is the probability that the person was covid positive?b. What is the probability that the person was not covid positiveA local county has an unemployment rate of 6%. A random sample of 16 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 4 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.
- Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer? b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 8passengers are randomly selected, find the probability that fewer than 6 of them 6 show up.Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.A jury pool has 23 people that are married and 21 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random without replacement, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.) (a) all married people. (b) all not married people. (c) 8 married and 4 that are not married. (d) 6 married and 6 that are not married.
- Suppose the probability of raining during summer (a 100 days covering June to August) is 2%. It means that every summer, there will be exactly 2 days (2% x 100) with rain. a) True b) FalseFrom the help of the attached image, show every formula used for each step in excel.a) Determine the probability that a randomly selected call was during the week. The probability is----- (Round to three decimal places as needed.) b. Determine the probability that a randomly selected call was less than 20 minutes. The probability is----- (Round to three decimal places as needed.) c. Determine the probability that a randomly selected call was 10 to less than 20 minutes. The probability is----- (Round to three decimal places as needed.) A call center for customer support records the time each customer requires for service and whether the call occurred during the week (Monday through Friday) or during the weekend (Saturday and Sunday). The results are shown in the accompanying table. Complete parts a through h. Time (minutes) Week Weekend Less than 5 15 4 5 to less than 10 27 3 10 to less than 15 12 8 15 to less than 20 23 5 More than 20 10 14
- SOLVE STEP BY STEP IN DIGITAL FORMAT 10. The semarnat has set the average number of bacteria per cm3 of water at 70, as a limit. An average value greater than 70 can cause hepatitis in people who eat clams. It has been shown that the probability distribution of the number of bacteria can be modeled as a normal one. In order to decide if certain waters meet the standard, nine water samples were taken, and the following bacteria counts were obtained: 69,74,75,70,72,73,71,73,68. Do the data show that the waters are safe for fishing, at the 5% level of significance?Ex 2. The supplier sent a batch of 10000 parts to the customer. The probability of damage to one part during transportation is 0.002. Find the probability that it will be damaged in transit. a) exactly 20 parts b) less than 10 parts c) more than 40 parts d) from 10 to 30 parts
