A book containing 300 pages has 450 typing errors. Use the Poisson distribution to calculate the probability that a page selected at random contains less than 2 errors: 0.1912 0.5578 None of the other options 0.4422
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- 4. Create a probability distribution for distribution of "number of heads" appearing after flipping three coins. Find its mean and its standard deviation. Desktop 54°F Rain to stop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert De & Be Y G H J K 立The author of a book makes an average of 2 typing errors per page. Find the probability that a randomly selected page from the author's book will have 3 errors. Assume the number of errors per page has a Poisson distribution. Below ?e denotes Euler's number,?≅2.718.e≅2.718.Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 25 and 50 minutes. Calculate the mean and variance for the distribution. Select one: O a. 37.5 and 50.08 O b. 15.5 and 50.08 O c. 51.2 and 36.6 O d. 37.5 and 78.5
- The average yearly salary for an electrician is $51853. Suppose that the distribution is normal with a standard deviation equal to $4850. What is the probability that a random sample of 35 electricians had a mean income greater than $50123? Less than $49730? Assume that the sample is taken from a large population and the correction factor can be ignored. Express each probability as a percent rounded to two decimal places. Income greater than $50123: ____%Income less than $49730: _____%A certain brand of automobile tire has a life expectancy that ie normally dietributed with a mean of u= 20000 milee and etandard deviation of o= 2500 milee. What ie the probability that a randomly chosen tire will last between 17500 miles and 25000 mileo? Select one: a. 0.8413 O b. 0.7 c. 0.8185 O d. 0.8Construct a Binomial probability distrubtion table using n=5n=5 and p=0.27p=0.27. Next, record the mean and standard deviation of the distribution below. Where necessary, round all numbers to four decimal places.
- Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 83 and 86 mph. Round to 4 decimal places.Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.The length of the long-distance calls made by the employees of a certain company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.5 minutes. Find the probability that a call will last between 5 and 10 minutes. A. .3897 B. .1788. C. .6290. D. .6308
- The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?Suppose that the five original Skittles colors are produced in equal quantities. Let p = the proportion of Skittles that are yellow. Then p = 0.2. An Elementary Statistics class will take a random sample of 500 Skittles. Find the probability that the obtained p will be greater than 0.25.Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semester: Value of X 3 Probability 0.07 4 5 6 0.25 0.28 The probability for X = 4 is missing. What is it? 0.07 0.25 0.40 0.50