Question

In: Statistics and Probability

1. Suppose that the average speed of cars driving down Cass avenue is normally distributed with...

1. Suppose that the average speed of cars driving down Cass avenue is normally distributed with mean 29mph and standard deviation 3mph. a. Find the probability that a car is driving at a speed slower than 26mph or greater than 32mph down Cass avenue. b. Find the probability that a car is driving at a speed between 23mph and 35mph down Cass avenue.  

Solutions

Expert Solution

I have solved both the parts with explanation of the formula used. I hope you have the probability for the standard Normal distribution table available. If you not find Actuarial tables online.


Related Solutions

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 75 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 77 mph. c. If one of the cars is randomly...
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 74 mph and standard deviation 5 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 73 mph. c. If one of the cars is randomly...
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 65 mph and standard deviation 7 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 66 mph. c. If one of the cars is randomly...
Suppose the speeds of people driving from Dallas to Houston normally distributed, with a mean average...
Suppose the speeds of people driving from Dallas to Houston normally distributed, with a mean average speed of 92 miles per hour. (a) If the probability that the speed is more than 108 mph is 0.8%, what is the standard deviation? (6 points) (b) Given the standard deviation in (a), what is the probability that a person drove less than 85 miles per hour? (5 points) (c) If Ben drove at a speed that exceeds 85% of all other people....
The wind speed in Laramie, Wyoming is normally distributed. The average wind speed for the state...
The wind speed in Laramie, Wyoming is normally distributed. The average wind speed for the state of Wyoming is approximately 20 mph. A curious student wanted to find out if the wind speed in Laramie was different than the state average. They took a sample of 25 random days in Laramie, measured the wind speed, and found an average of 18 mph with a standard deviation of 7.8 miles per hour. Test the claim that the average wind speed in...
Suppose that miles driven anually by cars in America are normally distributed with mean =
  Suppose that miles driven anually by cars in America are normally distributed with mean = 12; 894 miles and standard deviation = 1190 miles. (a)If one car is chosen at random, what is the probability it has driven more than 13,000 miles last year? (b) If a sample of 25 cars is taken, what is the probability that the mean of the sample is less than 13,000 miles? ***A parameter is a value for a population, and a statistic...
The Weights of 100 remote control cars at a competition are approximately normally distributed. The average...
The Weights of 100 remote control cars at a competition are approximately normally distributed. The average weight is 3.2 kg, with a standard deviation of 0.4 kg. a.) How many remote control cars would be disqualified if it were against the rules to have a car with a weight of more than 4 kg or less than 2.4 kg? b.) A car is said to be in the 90th percentile. How much does it weigh?
Alex is driving down Park Avenue on her way to meet friends for dinner. She receives...
Alex is driving down Park Avenue on her way to meet friends for dinner. She receives a text message, with a change in the evening’s plans from a sushi bar to a pizza place. Upset about the switch from sushi to pizza, Alex focuses on her phone, taking her hands off the wheel and her eyes off the road as she explores alternative restaurant menus in the group text. Alex’s car slams into Robert’s car in front of her, causing...
1) suppose average pizza delivery times are normally distributed with an unknown population mean and a...
1) suppose average pizza delivery times are normally distributed with an unknown population mean and a population standard deviation of 6 minutes. A random sample of 28 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. Find a 90% confidence interval estimate for the population mean delivery time.
Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and...
Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 32.6 and 4.9 mpg, respectively. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected passenger car gets more than 36 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) b. What is the probability that the average mpg of two randomly selected passenger cars...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT