The lifetime of a particular brand of A batteries follows a normal distribution. The mean lifetime of particular brand of A batteries is 1000 hours, with a standard deviation of 100 hours. 1. What percentage of batteries last more than 1100 hours?
a. 2.5%.
b. 5%.
c. 16%.
d. 32%.
2. What is the probability that a randomly selected battery lasts more than 875 hours?
a. 0.3749.
b. 0.8944.
c. 0.8716.
d. 0.1056.
3. What is the probability that a randomly selected battery lasts between 1150 and 1250 hours?
a. 0.2417.
b. 0.4332.
c. 0.9915.
d. 0.3085.

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

You should typically prepare at least questions for the people who will host you during a job shadow. a. 3 b. 4 c. 5 d. 2

What is the difference between career options in the law enforcement pathway and career options in the correction services pathway?