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QUESTION 15 The random variable X, representing the number of accidents in a certain intersection in...
The number of accidents in a month at a certain intersection, denoted by X, has been found to follow the Poisson distribution with its mathematical expectation, that is, E(X), equal to 6. What is the probability that X is larger than 4 in a certain month? What is the probability that X is no more than 1 in a certain month? 1) The probability that X is larger than 4 in a certain month is: Pr(X>4)= 2) The probability that...
The number of accidents per week at a busy intersection was recorded for a year. There were 19 weeks with no accidents, 17 weeks with one accident, 9 weeks with two accidents, and 7 weeks with three accidents. A week is to be selected at random and the number of accidents noted. Let X be the outcome. Then X is a random variable taking on the values 0, 1, 2, and 3. (a) Write out a probability table for X...
1.The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 3.7 per week. Find the probability of 10 or more accidents occur in a week? 2.The probability distribution for the number of goals scored per match by the soccer team Melchester Rovers is believed to follow a Poisson distribution with mean 0.80. Independently, the number of goals scored by the Rochester Rockets is believed to follow a Poisson distribution with mean 1.60. You...
There are 12 accidents per month on a highway. Define the random variable X= no.of accidents in a week. a) What distribution does X follow? b) Find the mean, variance, standard deviation of the random variable X. c) Find the probability of producing 5 accidents in a week.
10. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as 0.05 0.10 0.20 Evaluate the marginal distribution of X. flx, y) 1 1 0.05 y 3 0.05 5 0.00 0.10 0.35 0.10 a. b. Evaluate the marginal distribution of Y c. Find eXY-3/X -2)....
PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year.
AP-Stats-2005-Q2 2. Let the random variable X represent the number of telephone lines in use by the technical support center of a manufacturer at noon each day. The probability distribution of X is shown in the table below P(x) 0.35 0.20 0.15 0.15 0.10 0.05 ) Suppose you come by every day at noon to see how many lines are in use. What are the chances that you don't find all 5 in use until your 7" visit? ) Find...
number 5 please . The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: )0.03 0.37 0.2 0.25 0.15 (a) Find EX (b) Find E(x2) 5. Use the distribution from Problem 4. (a) Find the variance of X. V(X). (b) Find the standard deviation of X, SD(x)
Let x be a random variable with the following probability distribution Value x of x P(X=x -10 0.05 0 0.20 10 0.30 20 0.20 30 0.10 40 0.15 E (x)= Var (x)=
Let the random variable X be a random number with the uniform density curve in the figure below. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 P(X<0.5 or X > 0.8) P(0.3<X<0.7) (a) (b) Find the following probabilities. P(X 2 0.35) (a) (b) P(X = 0.35) P(0.35 < X < 1.25) (c) P(0.10 < X < 0.20 or 0.6 < X < 0.9) (d) X is not in the interval 0.5 to...