Suppose there is spinner spun two times, the probability of landing on the 1 is 65% The probability of landing on the 2 is 35%, Let x be the sum of the two spins. Construct a probability distribution for the random variable x and graph the probability distribution using a histogram?
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- Formulate a dataset using the frequency distribution table of the random experiment for the number of boys in a committee of 3 people selected at random from 4 boys and 3 girls. Random variable or dataset indicates the number of boys.The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls in one minute. Find the probability that the telemarketer makes at most 8 calls in 3 minutes. Round to 4 places.Please show work... and round probabilities to FOUR DECIMALS The following table summarizes results from 985 pedestrian deaths that were caused by accidents. Pedestrian Pedestrian was NOT Intoxicated intoxicated Driver was intoxicated 59 79 Driver was NOT 266 581 intoxicated If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. If two DIFFERENT pedestrian deaths are randomly selected, find the probability that they both involve intoxicated pedestrians. If we randomly select a pedestrian death, what is the probability that the pedestrian was intoxicated, given that the driver was intoxicated? If we randomly select a pedestrian death, what is the probability that the driver was intoxicated?
- An average of 30 patients die in a single day in a large hospital. a) Find the probability distribution, expected value, variance of the number of patients who died in one day. b)The probability distribution, expected value, variance of the number of patients who died in five days.Find. Find the probability that the number of patients who died in 5 days is 25.Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?According to the statistics, 13% of cars in the city were at least 12 years old in2004. Assume that this result holds true for the current population of all cars in thecity. Random sample of 500 cars are selected at random. Approximate the probabilitythat 80 to 98 cars are at least 12 years old?
- 80% of the books in a cupboard are academic books. If there are 50 books in cupboard, find the probability that 40 books taken at random from the the academic books, by using cupboard are (i) the binomial distribution (ii) the normal distribution to approximate the binomial distribution.Suppose the time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions, What is the probability that the sample mean is less than 8 minutes? What is the probability that sample mean is between 8 and 10 minutes? If you select a random sample of 16 sessions, what is the probability that a as sample mean is between 8 and 9 minutes? Explain the differences in the results of (b) and (c).Please solve it as soon as possible