A nefarious gambler has developed a weighted six-sided die,…

A nefarious gambler has developed a weighted six-sided die, with sides marked 1, 2, 3, 4, 5, and 6. The probability that a 6 is rolled is 0.4, and all the other sides are equally likely. Define the random variable X as the value on the die when it is rolled once. The variance of X is:  (Fill in the numerical value. Round your answer to two decimal places)  

A zoologist collected wild lizards in the Southwestern Unite…

A zoologist collected wild lizards in the Southwestern United States. Thirty lizards from the genus Phrynosoma were placed on a treadmill and their speed measured. The recorded speeds (meters/second) (the fastest time to run a half meter) for thirty lizards are summarized in the relative histogram below. About how many lizards had recorded speeds above 1 meters/second? (Fill in the numerical value).