The amount of time required for routine automobile transmission service is normally distributed with the mean 35 min and the standard deviation 7.5 min. The service manager plans to have work begin on the transmission of a customer’s car 10 min after the car is dropped off, and the customer is told that the car will be ready within 1 hr total time. What is the probability that the service manager will be wrong? Illustrate the proportion of area under the normal curve which is relevant in this case. b) A contractor claims that the cost of building a farm house is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000. i) What is the probability that the cost of building a home will be between $460,000 and $540,000? ii) The probability is 0.2 that the cost of building will be less than what amoun
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The amount of time required for routine automobile transmission service is
b) A contractor claims that the cost of building a farm house is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000.
i) What is the probability that the cost of building a home will be between $460,000 and $540,000?
ii) The probability is 0.2 that the cost of building will be less than what amount?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
