1.

The table gives the probability distribution for the possible returns from two different investments. Investment A Investment B Return ($ millions) Probability Return ($ millions) Probability - 10 0 0.3 15 20 0.4 35 40 0.3 (a) Compute the mean and the variance for each investment. A BFor a certain type of light, the number of hours a bulb will burn before requiring replacement has a mean of 3000 hours and a standard deviation of 200 hours. Suppose that 6000 such bulbs are installed in an office building. Estimate the number that will require replacement between 2600 and 3400 hours from the time of installation. At least bulbs will require replacement between 2600 and 3400 hours from the time of installation. (Round to the nearest whole number as needed.) Suppose that a probability distribution has mean 75 and standard deviation 8. Use the Chebychev inequality to find the value of o for which the probability that the 21 outcome lies between 75 o and 75 + c is at least 25' Compute the variance of the following probability distribution. Use the alternate formula. Outcome Probability 0.1 W N 0.2 0.4 0.3 o 2 (Type an integer or a decimal.)