Describe and determine the number of slabs that are in each of the following cat

Question

Describe and determine the number of slabs that are in each of the following categories: (R C) F, R (C F), R C (R C F)', R C' F R (C F), R (C F) Give one example each of the following types of discrete variables: indicate which of the following Nonordered mu nary variable. ordered variable. non random variables are discrete a asses each week, the amount of gas buy in system in terms of volume of water weekend. number of times you attend selected month. and the performance of a hydraulic system in terms of volume of water pumped per hour. Rewrite the following stochastic events in mathematical notation a suitably defined random variable: The probability that the deflection at the most critical element of certain structure exceeds 1.80 inches is 0.85 or more fatalities of every 100 road construction projects, 28 experience t at least four Twenty percent of the time, a certain aging engineering system component breaks down times during operation every year. Of all college students 75% read their campus newspaper at least once a week. The number of cars arriving per hour at a toll road booth is assumed to follow a Poisson distribution with mean lambda = 7. What is the probability that three cars will arrive in the next hour. The probability that a certain building system experiences an air-conditioning (AC) defect is 0.14. Four of these building systems are randomly selected from a population of 50 systems for scrutiny. What on the probability that 3 of the 4 buildings experience an AC defect? Note that each trial is dependent a the results of the previous trial, as the number of defective ACs (and hence, the probability of having defective AC system) changes with each trial until the fourth building is examined. In an NBA championship series, the team that wins four games out of seven will be the winner win Rovers have a 0.55 probability of winning a game with the Sailors, and the Sailors have a 0.45 probability of winning a game with the Rovers. Find the probability that only six games are needed for Rovers the series. How many games should the Rovers play with the Sailors in order to win their first game? The strength of a standard structural steel for a certain construction project follows a normal distribution with mean 20 N/mm^2 and variance 16 mm^2 Find the probability that a randomly selected specimen from a supply batch of this steel has strength less than 25 N/mm^2 Use the integral of the probability mass function, transform the normal distribution into a standard normal distribution and use the integral of the probability mass function for that distribution. Use the statistical tables for the cumulative standard normal distribution.

Explanation / Answer

10. Here it is given that distribution is normal with mean=20 and sd=4

a. P(x<25)

b. P(z<25-20/4)=P(z<1.25)

c. Using standard normal table we get required probability =0.8944

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