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Suppose population of IQ values is normally distributed. The mean is 100 and standard deviation is 15. Now we randomly pick a person and measure their IQ, denoted by X.  Evaluate . 

Suppose the population of IQ values is normally distributed with a mean of 100 and standard deviation 15. Now we randomly sample 36 people and measure their IQs. The sum of all these data points is denoted by

Both discrete and continuous random variables have probability functions that represent the probabilities of certain events associated with the random variable.

The time until a screen is cracked on a smart phone is a random distribution with mean μ = 500 hours of use. Denote the time by X, and the process is a Poisson process. Show all work.!!! I. Derive the CDF of this random variable X.   II. Calculate the probability that the screen will not crack for at least 650 hours.   (Show your final work to the camera for about 5 seconds before uploading.)

Suppose we are interested in finding the probability of obtaining at least a 5 or 6 in four rolls of a fair die (each face will have same chance to appear). If the r.v. X denote the number of times a 5 or 6 appears in the four rolls, what distribution does X follow ?

The belief that inanimate things are alive is referred to as _______. _______

Screenshot 2026-06-17 at 10.49.30 AM.png Refer to Figure 1. When the tax is imposed in this market, the price sellers receive is

Screenshot 2026-06-17 at 10.51.01 AM.png Refer to Figure 2. Suppose the market is in equilibrium. Next, suppose that the sellers of laptops ask for assistance from the government. Specifically, they would like to charge a price higher than the market equilibrium price. To be effective (binding), the government would enact a __________.

Figure 7-9 Refer to Figure 7-9. At equilibrium, total surplus is represented by the area

Screenshot 2026-06-17 at 10.49.30 AM.png Refer to Figure 1. The tax results in a deadweight loss that amounts to