A grocery store is reviewing its restocking policies and has analyzed the number of half-gallon containers of orange juice sold each day for the past month. The data are given below.
- What is the probability that on a randomly selected day the number of cartons of orange juice sold in the evening is between 80 and 99?
- What is the probability that 39 or fewer cartons were sold during a randomly selected afternoon?
- What is the probability that either 0-19 or 100 or more cartons were sold in a randomly selected morning?
In the summer of 1995, Boeing successfully introduced into commercial airline service the 777, a large plane capable of carrying more than 300 passengers. They immediately sought approval from the Federal Aviation Authority for long, transoceanic flights such as the Denver to Honolulu route.
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A physical therapist at Enormous State University knows that the football team will play 40 percent of its games on artificial turf this season. He also knows that a football player's chances of incurring a knee injury are 50 percent higher if he is playing on artificial turf instead of grass. If a player's probability of knee injury on artificial turf is 0.42, what is the probability that.
- A randomly selected football player incurs a knee injury?
- A randomly selected football player with a knee injury incurred the injury playing on grass?
EconOcon is planning its company picnic. The only thing that will cancel the picnic is a thunderstorm. The Weather Service has predicted dry conditions with probability 0.2, moist conditions with probability 0.45, and wet conditions with probability 0.35. If the probability of a thunderstorm given dry conditions is 0.3, given moist conditions is 0.6, and conditions is 0.8, what is the probability of a thunderstorm? If we know the picnic was indeed canceled, what is the probability moist conditions were in effect?
Martin Coleman, credit manager for Back's knows that the company uses three methods to encourage collection of delinquent accounts. From past collection records, he learns that 70 percent of the accounts are called on personally 20 percent are phoned, and 10 percent are sent a letter. The probabilities of collecting an overdue amount from an account with the three methods are 0.75, 0.60, and 0.65 respectively Mr. Coleman has just received payment from a past due account. What is the probability that this account.
- Was called on personally?
- Received a phone cal?
- Received a letter?
A doctor has decided to prescribe two new drugs to 200 heart patients as follows: 50 get drug B, and 100 get both. The 200 patients were chosen so that each had an 80 percent chance of having a heart attack if given neither drug. Drug A reduces the probability of a heart attack by 35 percent drug B reduces the probability by 20 percent, and the two drugs when taken together, work independently. If a randomly selected patient in the program has a heart attack, what is the probability that the patient was both drugs?
Given: The probabilities of three events, A, B, and C, occurring are P(A)= 0.35, P(B)= 0.45, and P(C)=0.2. Assuming that A,B,or C has occurred, the probabilities of another event, X, occurring are P(X|A) = 0.8, P(X|B) = 0.65, and P(X|C) = 0.3. Find P(A|X), P(B|X), and P(C|X).
The southeast regional manager of General Express, a parcel-delivery firm, is worried about the likelihood of strikes by his pilots is 0.75 and the probability of a strike by his drivers is 0.65. Further, he knows that if the drivers strike, there is a 90 percent chance that the pilots will strike in sympathy.
- What is the probability of both groups’ striking?
- If the pilots strike, what is the probability that the drivers will strike in sympathy?
The university's library has been randomly surveying patrons over the last month to see who is using the library and what services they have been using. Patrons are classified as undergraduate, graduate, or faculty. Services are classified as reference, periodicals, or books. The data for 350 people are given below Assume a patron uses only service per visit.
Find the probability that a randomly chosen patron
- Is a graduate student?
- Visited the periodicals section, given the patron is a graduate student?
- Is a faculty member, given a reference section visit?
- Is an undergraduate who visited the book section
At a soup kitchen, a social worker gathers the following data. Of those visiting the kitchen, 59 percent are men, 32 percent are alcoholics, and 21 percent are male alcoholics. What is the probability that a random male visitor to the kitchen is an alcoholic?