A joint pdf is defined as   for x in [1,2] and y in [4,5] and constant c. What is the value of the constant c, so that the joint pdf is a “proper” distribution? You may need to use https://www.wolframalpha.com/

The following list shows how many text messages Elyse sent each day for the last 10 days.  21  22  24  26  26  29  32  32  33  88 Elyse wants to determine the typical number of text messages and the variability in the number of text messages she sends each day. a) Which measure of location better describes the typical number of text messages sent per​ day?   [location] b) Which measure of spread better describes the variability in the number of text messages sent per​ day?  [spread]                                 

Suppose the diagram of an electrical system is as shown.  The number in each box is the probability the component works. What is the probability that the system​ works? Assume the components behave independently. Enter your numeric answer as a decimal.  Do not round.  

A company advertises a mean lifespan of 1000 hours for a particular type of light bulb. If you were in charge of quality control at the​ factory, would you prefer that the standard deviation of the lifespans for the light bulbs be 5 hours or 50​ hours? Why?

A projectile is fired at a target. The distance from the point of impact to the center of the target (in m) is a random variable with probability density function,

In testing a certain kind of truck tire over rugged​ terrain, it is found that 40​% of the trucks fail to complete the test run without a blowout.  (Assume blowouts on different trucks are independent events.) ​(a) If 16 trucks​ are tested, how many of them would you expect to have​ blowouts? [blanka] ​(b) What is the variance of the number of blowouts experienced by 16 ​trucks?  [blankb] (c) What is the probability that​ among 16 trucks, there are more than 5 blowouts.   [blankc]   

In the figure above, the factor responsible for the decline in the interest rate is

When the Fed buys $100 worth of bonds from a primary dealer, reserves in the banking system

When does an assessment of the musculoskeletal system begin?

Open market purchases raise the ________ thereby raising the ________.