wer the following completely.Suppose that the probabilities are 0.4, 0.3, 0.2, and 0.1, respectively, that 0, 1, 2, or 3power failures will strike a certain subdivision in any given year. Find the mean andvariance of the random variable X representing the number of power failures strikingthis subdivision.

We want to find mean and variance

Answered: ver the following completely. Suppose…

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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The proportion of individuals insured by a certain company who received at least one traffic ticket during a five-year period is 0.15. If a sample of 150 individuals insured by the company is taken, approximately what z-score would be used to find the probability that the sample proportion will be less than 0.13? O A. -0.68493 O B. -0.68966 O C. -0.68599 O D. -0.66667 O E. -0.68611
Suppose that X can only take on one of the 4 possible values from the probability distribution given below. What is the variance of X?(use a decimal number, rounded to the nearest 10th, without $ sign. For example, 1.2)
If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) ?=4,?=0.2?=?2= ?= (b) ?=5,?=0.9?= ?2=?=
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
Millo.09.
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 87 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 a. 0 b. 1 C. 2 d. 3 e. 4 Actual results 205 64 10 1 0 a. P(0) = (Round to four decimal places as needed.) b. P(1) = (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.)
Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 50 horses are sampled at random from the stable? Round your answer to four decimal places.
The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are nomally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys would be higher than the mean height of the sample of girls 18: O 0 9878 O 0.0062 O 0.9938 0 9972 Let E[X(Y-1)] 10, E[X(Y#1)] 20, V(X) Then E(Y) 8. V(Y) 12 and V(X+Y) 30. O 14/5 12/5 2
Suppose that skiing injuries occur at a constant rate, are statistically independent of each other, and the amount of time required to treat each injury follows an approximately normal distribution with a mean of 80 minutes and a standard deviation of 20 minutes. Assume the average ski injury rate is 2.6 injuries per 1,000 skier-days, and the treatment time is independent of the number of injuries treated on any day. a. In a week with 150 skiers each day, what is the probability there is at least 1 injury on each day? b. In a week with 150 skiers each day, what is the probability there is at least 1 injury on at least 5 of the 7 days? c. On a day with 7 injuries, what is the probability that at least 5 of the 7 injuries require more than 100 minutes to treat the injury? d. In a week with 7 injuries, what is the probability that at least 5 of the 7 injuries require more than 100 minutes to treat the injury?
Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we plan a sample of size 4 from from population A and a sample of size 9 from population B which we will pool to form the pooled variance. If you know the population variances are both in fact equal to 6, what is the probability that the pooled variance of the two samples will turn out to be less than 8 given your information? .8 .2 .82 .18 NONE OF THE OTHERS
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)

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