The following distribution table has a couple of probabilities missing. The expected value is known though. It is 1.75. What is P (x = 1)? xp (x) 00.15 1? 2? 3 0.25 O 0.4 O 0.25 0.2 O 0.18

er Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other Probability 0.478 0.027 0.035 0.148 0.135 0.059 0.118 to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes E 14 quiz

Consider the following probability distribution. Find the probability that x=2 x          0            1          2          3         4         5 p(x).   0.12      .25      ?         .18     .14      .11

The county highway department recorded the following probabilities for the number of accidents per day on a certain freeway for one month. The number of accidents per day and their corresponding probabilities are shown. (Round your answers to three decimal places if needed.) Number of accidents, X 0 1 2  3  4 Probability P(X ) 0.4 0.2  y  0.2 0.1 Find y so that this is a valid probability distribution.  Find the mean of this distribution using the value found for y in part a.  Find the expected value of number of accidents per day.  The variance and standard deviation of this distribution using the value found for y  in part a are respectively ,  ________and _________.