Given the probability density function f(x) = over the interval [1, 6], find the expected value, the 5 mean, the variance and the standard deviation. Expected value:

You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show up is 0.69.  What is the probability that uncle Josiah doesn't show up?  Enter your answer as a decimal, rounded to three decimal places.

Define probability

Make a histogram of the probability distribution of X. Describe its shape.

The number of work accidents that occur per week in a mine follows Poisson's law so that the probability of 2 accidents occurring is equal to 3/2 of the probability of an accident occurring. Calculate the probability that the time for the first accident to occur is one week.

The cumulative probability for the entire binomial distribution does not have to sum to 1.  True or False.

Please show your solution. A petroleum company exploring for oil has decided to drill 2 wells, one after the other. The probability of not striking oil in the first well is 0.25. Given that they strike oil in the first attempt, the probability of striking oil in the second attempt is 0. 85. What is the probabilty of striking oil in both wells?

A driver has pumped 13 gallons of gas to his track. On average day that driver has to spend 2 gallons of gas with the deviation 1 gallons. Calculate the probability that these 13 gallons of gas will be enough for next 6 days of driving that track.

A high school baseball player has a 0.272 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 2 hits in the game? Give answer as a decimal rounded to 3 places