#Airline passengers Because all airline passengers do not show up for their reserved seat, an airline sells n=125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.15. Assume that the passengers behave independently. Question: Determine the probability mass function of the number of passengers(x) who show up for the flight?

▾ Part 1 This problem involves selecting books from a shelf. Assume that the shelf holds 5 short stories and 3 novels. A student selects 5 books at random. A random variable X is defined to be the number of novels selected. How many different values are possible for the random variable X? 4 ▾ Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Probability Value of X # 0 -23 1

Part 1 This problem involves selecting books from a shelf. Assume that the shelf holds 6 short stories and 2 novels. A student selects 5 books at random. A random variable X is defined to be the number of novels selected. How many different values are possible for the random variable X? 3 Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Value of X 0 1 2 Probability

Required information In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: X 0 1 2 0 0.10 0.17 0.06 y 1 0.11 0.23 0.14 2 0.05 0.08 0.06 Find P(X= 1 and Y=0). (Round the final answer to two decimal places.)

Statistics

Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 31% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) y an example Get more help - F2 ✔ X # 3 H 3 80 F3 I D E C $ 4 Q F4 R F % PLO < 5 FS T G 6 I B MacBook Air F6 Y H & N 7 N F7 U 8 00 J DII FB I M ( 9 K F9 O V- I H ) O L command F10 P A. Clear all : F11 { option [ + Check answer I T 1 ? F12 } 1 delete