1. Probabilistic and Statistical Techniques
Eng. Ismail Zakaria El Daour
2010

2. Probabilistic and Statistical Techniques
Suppose that past history shows that 60% of college students prefer Brand C cola. A sample of 5 students is to be selected.
The probability that exactly 1 prefers brand C is
The probability that at least 1 prefers brand C is
The probability that exactly 3 prefer brand C is
The probability that at most 2 prefer brand C is
The probability that more than 3 prefer brand C is
The probability that less than 2 prefer brand C is

3. Probabilistic and Statistical Techniques
The probability that exactly 1 prefers brand C is
The probability that at least 1 prefers brand C is
The probability that exactly 3 prefer brand C is
The probability that at most 2 prefer brand C is
The probability that more than 3 prefer brand C is
The probability that less than 2 prefer brand C is

4. Probabilistic and Statistical Techniques
The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with mean = 110 grams and S.D = 25 grams.
What is the probability that a randomly selected vitamin will contain at least 100 grams of pyridoxine?
What is the probability that a randomly selected vitamin will contain between 100 and 120 grams of pyridoxine?

5. Probabilistic and Statistical Techniques
What is the probability that a randomly selected vitamin will contain at least 100 grams of pyridoxine?
0.6554
What is the probability that a randomly selected vitamin will contain between 100 and 120 grams of pyridoxine?
0.3108

6. The probability that Z is less than -2.20 is 0.0139
Probabilistic and Statistical Techniques
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1.
The probability that Z is less than is
0.0139

7. Thanks for Your Attention