The number of road accidents that occur in a majorintersection monthly has a poison distribution with parameterμl = 50.a. What is the probability that 44 to 66 accidents occurin a monthb. What is the probability that for three months therewould be 143 to 160 accidentsc. A minor intersection has the same monthly mean andvariance as the major intersection, but follows thenormal distribution. What is the probability that theminor intersection have more than 605 accidents inone year?

Answered: The number of road accidents that occur…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm? a. 0.1357 b. 0.1151 c. 0.1841 d. 0.1587
A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 76 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents. 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 76 years? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) Find the P-value. (Round your answer to four decimal places.)
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 11, 7, 6, 12, 8, 9, 10, 11, 10, 6, 8, 10, 10 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean = __?__ H1:H1: mean not equal to __?__ The test statistic t = __?__(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
Assume that a vending machine dispenses coffee in amounts that vary uniformly between 7.5 and 12.5 ounces per cup. Calculate the mean and variance of the distribution. Select one: O a. 12.5 and 5 O b. 10 and 2.08 c. 10 and 3.8 O d. 12.5 and 2.08
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
A particular fruits’ weights are normally distributed, with a mean of 312 grams, and a SD of 20 grams. If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? (Give the answer to the nearest gram)
Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 3.0 seconds; what is the average value of the distribution?
On average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 11 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.3, 6, 5.5, 7, 5.4, 5.7, 6.2, 6.4, 9.1, 8.7, 8.3 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. R. Thus, the final conclusion is that 2
5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.
he mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.b. What is the median giraffe height? ft.c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? e. What is the probability that a randomly selected giraffe will be between 17.3 and 17.9 feet tall? f. The 90th percentile for the height of giraffes is ft.
A distribution consists of three components with frequencies 45, 40 and 65, having the their mean 2, 2.5, and 2. Show that the mean of the combined distribution is 2.13 approximately.

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