Are the number of students in class responding Strongly agree a continuous or discrete

Bus. 4.41 The number of daily requests for emergency assistance at a fire station in a medium-sized city has the probability distribution shown here. y Py .06 1 .14 2 .16 3 .14 4 .12 5 .10 6 .08 7 .07 8 .06 9 .04 10 .03 a. What is the probability that four or more requests will be made in a particular day? b. What is the probability that the requests for assistance will be at least four but no more than six?

c. Suppose the fire station must call for additional equipment from a neighboring city

whenever the number of requests for assistance exceeds eight in a given day. The neighboring city then charges for its equipment. What is the probability the city will call for additional equipment on a given day? 4.8 Two Discrete Random Variables: The Binomial and The Poisson Bio.

4.42 A biologist randomly selects 10 portions of water, each equal to .1 cm

3 in volume, from the local reservoir and counts the number of bacteria present in each portion. The biologist then totals the number of bacteria for the 10 portions to obtain an estimate of the number of bacteria per cubic centimeter present in the reservoir water. Is this a binomial experiment? Pol. Sci. 4.43 Examine the accompanying newspaper clipping. Does this sampling appear to satisfy the characteristics of a binomial experiment? Poll Finds Opposition to Phone Taps New York—People surveyed in a recent poll indicated they are 81 to 13 against having their phones tapped without a court order. The people in the survey, by 68 to 27, were opposed to letting the government use a wiretap on citizens suspected of crimes, except with a court order. The survey was conducted for 1,495 house- holds and also found the following results: — The people surveyed are 80 to 12 against the use of any kind of electronic spying device without a court order. — Citizens are 77 to 14 against allowing the government to open their mail without court orders. — They oppose, by 80 to 12, letting the telephone company disclose records of long- distance phone calls, except by court order. For each of the questions, a few of those in the survey had no responses. Env. 4.44 A survey is conducted to estimate the percentage of pine trees in a forest that are infected by the pine shoot moth. A grid is placed over a map of the forest, dividing the area into 25-foot by 25-foot square sections. One hundred of the squares are randomly selected and the number of infected trees is recorded for each square. Is this a binomial experiment? Env. 4.45 In an inspection of automobiles in Los Angeles, 60 of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: