The URS construction company has submitted two bids, one to build a large hotel in London and the other to build a commercial office building in New York City.
The company believes it has a 40 chance of winning the hotel bid and a 25 chance of winning the office building bid. The company also believes that winning the hotel bid is independent of winning the office building bid.What is the probability the company will win both contracts?A) 0.55
B) 0.44
C) 0.10
D) 0.75
Q. 2Assume that n = 18 people are asked a yes/no survey question, and 6 people say yes while 12 people say no. Based on this information the sample proportion can be assumed normally distributed.
Indicate whether the statement is true or false
Q. 3The Maple Grove Hotel manager has collected data on the number of rooms occupied each evening for the past 700 nights. The fewest rooms occupied during that period was 11 and the most was the capacity, 430.
Based on this information, which of the following would be reasonable class limits for the first class if the manager wishes to use 8 classes to develop a frequency distribution?A) 0 to 40
B) 10 to < 65
C) 11 to 19
D) 0 to 52.38
Q. 4As the automobile accident rate increases, insurers are forced to increase their premium rates. Companies such as Allstate have recently been running a campaign they hope will result in fewer accidents by their policyholders.
For each six-month period that a customer goes without an accident, Allstate will reduce the customer's premium rate by a certain percentage. Companies like Allstate have reason to be concerned about driving habits, based on a survey conducted by Drive for Life, a safety group sponsored by Volvo of North America, in which 1,100 drivers were surveyed. Among those surveyed, 74 said that careless or aggressive driving was the biggest threat on the road. One-third of the respondents said that cell phone usage by other drivers was the driving behavior that annoyed them the most.Based on these data, assuming that the sample was a simple random sample, construct and interpret a 95 confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users.A) (0.313, 0.347 )
B) (0.306, 0.354 )
C) (0.302, 0.358 )
D) (0.316, 0.344 )
Q. 5Three events occur with probabilities P(E1 ) = 0.35, P(E2 ) = 0.15, P(E3 ) = 0.40. If the event B occurs, the probability becomes P(E1B) = 0.25, P(B) = 0.30.
Assume that E1, E2, and E3 are independent events. Calculate P(E1 and E2 and E3 ).
A) 0.575
B) 0.075
C) 0.021
D) 0.475