If a binomial trial has a probability of success of 0.3, how many successes would you expect out of 500 trials? О А. 450 В. 350 О с. 150 O D. 250
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- If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of catching the flu among individuals not taking vitamin C is 0.2653, then the individuals not taking vitamin C are 7.7573 times more likely to catch the flu than individuals taking vitamin C. True FalseData from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 153 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year а. О b. 1 с. 2 d. 3 е. 4 Actual results 162 89 24 4 1 a. P(0) = (Round to four decimal places as needed.) b. P(1) =D (Round to four decimal places as needed.) c. P(2) = (Round to four decimal places as needed.) d. P(3) = (Round to four decimal places as needed.) e. P(4) = (Round to four decimal places as needed.) The actual results consisted of 162 city-years with 0 homicides; 89 city-years with one homicide; 24 city-years with two homicides; 4 city-years with three homicides; 1 city-year with four homicides. Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson…In any given year a factory has a 10% probability of having a serious accident about every how Nagy years might the factory expect to have an accident?
- If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. c) what is the mean or expected value of p? d) what is the standard deviation of p? e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal placesA fair and unbiased die is rolled. What is the probability of the event of a number greater than 2 appears? О А. 1/6 о В. 1/3 О С. 2/3 O D. 5/6According to Johns Hopkins data, the mortality rate of Covid-19 for the USA and the UK respectively 1.7% and 2.7%.It is expected that next week there will be 1,200,000 (1.2 million) and 238,000 Covid-19 cases for the US and the UK, respectively.Deaths in the USA and the UK assuming independent, Covid-19 for US and UK next week Find the probability that the total number of deaths is at least 27,000.Hint: Use the normal approximation to the binomial distribution.
- Q6. What is the probability of getting the expected number of Heads from 20 tosses of a fair coin when the first two tosses are both HEADS? A. 0.167 B. 0.212 С. 0.336 D. 0.488 O A. A О В. В С. С D. DThe average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the probability that fewer than 7 field mice are found (a) on a given acre; (b) on 3 of the next 2.5 acres inspected. (ROUND OFF YOUR FINAL ANSWER TO FIVE DECIMAL PLACES)Assume a students alarm clark has a 13.4% daily failure rate, what is the probability that 2 alarm clocks will fail on the morning of an important final exam