A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. x 0 1 2 3 4 5 6 p(x) 0.11 0.15 0.20 0.25 0.19 0.09 0.01 Calculate the probability of each of the following events. (a) {at most three lines are in use}   (b) {fewer than three lines are in use}   (c) {at least three lines are in use}   (d) {between two and five lines, inclusive, are in use}   (e) {between two and four lines, inclusive, are not in use}   (f) {at least four lines are not in use}

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

Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5

Jim has a 5-year-old car in reasonably good condition. He wants to take out a $20,000 term (that is, accident benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an accident in the year in which it is x years old is as follows:  x = age 5 6 7 8 9 P(accident) 0.01182 0.01282 0.01386 0.01513 0.01602 Jim is applying to a car insurance company for his car insurance policy. If the car insurance company wants to make a profit of $700 above the expected total losses of $1393, how much should it charge for the policy? Group of answer choices $701 $693 $713 $703 $705