A company manufactures a new type of LED light bulb. The lifespans of these light bulbs, in hours, are a continuous random variable with probability density function f(x)=0.0008−0.00000032(x−14000) from 14,000 to 16,500 hours. Use Excel to find the probability that a randomly selected LED light bulb will have a life span between 15,500 and 15,800 hours. Use an interval width of 10.

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

In a graph with several intervals o data how does a constant interval appear? what type of scenario produces a constant interval?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?