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3.29 A train is made up of 50 railroad cars. Each car may need Let X...
In assembling a train from several railroad cars, two of the cars, with masses 2.0 X...
In assembling a train from several railroad cars, two of the cars, with masses 2.0 X 10^4 kg and 4.0 X 10^4 Kg are rolled toward each other. When they meet, they couple and stick together. The lighter car has an initial speed of 1.5m/s. The collision causes it to reverse direction at .25m/s. A) Write down the statement of conservation of momentum in the case of perfectly inelastic collision/ B) What is the initial momentum of the lighter car?...
Recent research suggests that car ownership may have peaked. The following probability distribution table shows the...
Recent research suggests that car ownership may have peaked. The following probability distribution table shows the random variable, x, where x is number of cars owned by household: x p (x) 0 0.10 1 0.27 2 0.40 3 0.18 4 0.05 Determine the mean of x. (b) Determine the standard deviation of x.
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 73 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. 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 72 mph. c. If one of the cars is randomly chosen, find...
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. 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 69 mph. ________ c. If one of the cars is...
A local rental car agency has 50 cars. The rental rate for the winter months is...
A local rental car agency has 50 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month at least 35 cars will be rented. Use the normal distribution to approximate the binomial distribution. Round the standard deviation to three decimal places to work the problem. (I know the answer is .0968. Please include TI-84 steps for normalcdf or inversenorm.)
Question 3 Unanswered The demand for cars from a car hire firm may be modelled by...
Question 3 Unanswered The demand for cars from a car hire firm may be modelled by a Poisson distribution with mean 4 per day. The firm has 2 cars available for hire. Find the probability that demand exceeds the number of cars available A 0.2312 B 0.7619 C 0.1465 D 0.0733
2. The number of cars passing through each lane of a toll booth per minute is...
2. The number of cars passing through each lane of a toll booth per minute is represented by a random variable, C, and the number of trucks passing through it is represented by another random variable, T. During the morning peak hour, the joint probability mass function of C and T is given by the following table 0 0.05 0.08 0.08 1 0.05 0.09 0.11 0.08 0.22 0.11 0.06 0.05 0.02 Find the marginal probability mass function of T, pr(t)...
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...
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...
Let X = the headway between two randomly selected consecutive cars (sec). Suppose that in a...
Let X = the headway between two randomly selected consecutive cars (sec). Suppose that in a different traffic environment =, the distribution of time headway has the form: f(x) = {k/(x^5) if x >= 1, 0 if x <= 1 A: Determine the value of k for which f(x) is a legitimate pdf. B: Obtain the cumulative distribution function. C: Use the cdf form (b) to determine the probability that headway exceeds 2 sec and also the probability that headway...
Let X represent the amount of gas, in gallons, drivers put in their cars when fueling...
Let X represent the amount of gas, in gallons, drivers put in their cars when fueling at the small downtown gas station. The model for this variable X is uniformly distributed between 4 and 12 gallons. For this uniform distribution the mean amount of gas put in a car is 8 gallons and the standard deviation is about 2.3 gallons. Your friend is looking at this model for the amount of gas and says: "I remember some rule from my...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 73 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. 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 72 mph. c. If one of the cars is randomly chosen, find...
Question 3 Unanswered The demand for cars from a car hire firm may be modelled by a Poisson distribution with mean 4 per day. The firm has 2 cars available for hire. Find the probability that demand exceeds the number of cars available A 0.2312 B 0.7619 C 0.1465 D 0.0733
2. The number of cars passing through each lane of a toll booth per minute is represented by a random variable, C, and the number of trucks passing through it is represented by another random variable, T. During the morning peak hour, the joint probability mass function of C and T is given by the following table 0 0.05 0.08 0.08 1 0.05 0.09 0.11 0.08 0.22 0.11 0.06 0.05 0.02 Find the marginal probability mass function of T, pr(t)...
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...
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