59. The results of an investigation by an expert on a fire accident are summarised below: (i) Probability (there could have been a short circuit) = 0.8. (ii) Probability (LPG explosion cylinder) = 0.2. (iii) Chance of fire accident is 30% given a short circuit and 95% given an LPG explosion. Based on these, what do you think is the most probable cause of fire?
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- 5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15 c. How many red lights should she expect to hit each day?d. What is the standard deviationKindly solve the following problems correctly and show your complete solution. write it on the paper and do not type.If the standard error of the mean is 10 years of experience for a sample of consisting of 40 workers, what is the probability that the sample mean will be between 13 and 20 years for a population with a mean of 17 years experience. YOUR ANSWER SHOULD BE BETWEEN O AND 100 AND ROUNDED TO 4 DECIMAL PLACES. (e g. 59.5321 would be 59.5321%)
- According to the famous law of large numbers, the empirical a very large number of times. probability approaches the probabilitIf a seed is planted, it has a 55% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 55 seeds are planted. a. What is the distribution of X?X - ? ✓ Please show the following answers to 4 decimal places. b. What is the probability that exactly 30 seeds grow into healthy plants? c. What is the probability that at most 30 seeds grow into healthy plants? d. What is the probability that more than 30 seeds grow into healthy plants? e. What is the probability that between 25 and 32 (including 25 and 32) seeds grow into healthy plants?1.39. True or false? Consider a coin that has probability of 0.5 of coming up heads. For each of the following statements, decide if it is true or false. Explain your answers. (a) If you toss the coin 10 times, it will come up heads 5 times. (b) If you toss the coin a very large number of times, the proportion of heads will be close to 0.5. 1.40. Margin of error. Do you think that the margin of error for a sample of 10 would be larger or smaller than the margin of error for a sample of size 100? Explain your answer.
- You play a game of chance in which you can either win or lose (there are no other possibilities). The probability of winning is 0.22. What is the standard deviation of X, where X is the number of times one needs to play a game until one gets the first win?For the situation described below, state the null hypothesis, Ho, and the alternative hypothesis, H, to be tested. (Enter != for # as needed.) A statistical test is designed to show that the proportionp of defectives has decreased below 0.6%. Ho: 0.6 H: 0.6You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.67. Your sample data produce the test statistic z=3.203. Find the p-value accurate to 4 decimal places. You are conducting a study to see if the probability of catching the flu this year is significantly different from 0.33. Your sample data produce the test statistic z=1.84 Find the p-value accurate to 4 decimal places.
- What statistical term applies to each of the boldface numbers in the following quotes? Your options for each are odds, individual risk, and relative risk. 1. "In 2021, 8% of young adults used a hallucinogen in the past year, an all-time high, that study found. In comparison, only 5% of young adults reported using a hallucinogen in the past year in 2016, while only 3% used one in 2011." 2. In a sample cohort of older US adults it was found that those who didn't get their flu vaccinations were 1.4 times as likely than those who did get their vaccination to develop Alzheimer's disease. 3. "One-in-four U.S. parents say they've struggled to afford food or housing in the past year" 4. A study [from 17 national news outlets' Facebook posts from April 1 through June 30, 2018] showed that men appeared in Facebook news images at a 2 to 1 ratio compared to women. 5. Fontham² found increased risks of lung cancer with increasing exposure to secondhand smoke, whether it took place at home, work, or…. You are given the following. 470 = 0.04 471 = 0.05 • deaths are uniformly distributed within cach year of age. Calculate the probability that (70) will die between ages 70.5 and 71.5. a. Less than 0.0432 b. At least 0.0432, but less than 0.0437 C. At least 0.0437, but less than 0.0442 d. At least 0.0442, but less than 0.0447 e 0.0447 or more(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?