1). A certain insecticide kills 70% of all insects in a laboratory experiments.
ID: 3134424 • Letter: 1
Question
1). A certain insecticide kills 70% of all insects in a laboratory experiments. A sample of 14 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 9 insects will die? Round your answer to four decimal places. (Show your work.)
2). A real estate agent has 15 properties that she shows. She feels that there is a 60% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling more than 7 properties in one week. Round your answer to four decimal places. (Show your work.)
3). Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span 0f 14,000 hours. If a monitore is selected at random, find the probability that the life span of the monitor will be less than 12,920 hours. Round your answer to four decimal places. (Show your work.)
4). The weights of certain machine components are normall distributed with a mean of 7.75 ounces and a standard deviation of 0.07 ounces. Find the two weights that seperate the top 7% and the bottom 7%. These weights could serve as limits used to identify which components should be rejected. Round your answer to the nearest hundreth, if necessary. (Show your work.)
5).Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 26 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 71 miles in a day. Round your answer to four decimal places. (Show your work.)
Explanation / Answer
1) PROBABILITY THAT THE INSECTICIDE WILL KILL THE INSECT = 0.7
THE PROBABILITY THAT INSECT IS NOT KILLED = 1-0.7 = 0.3
WE HAVE TAKEN THE SAMPLE OF N = 14
WE NEED TO FIND THE PROBABILITY O F X = 9
THEREFORE P(X=9) = 14C9*(0.7)^9*(0.3)^5 = 0.1963
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