Find the probability given one or two z-scores. Note: On the exam students will be required to draw the curve and shade the appropriate area. 1) Find the area under the standard normal curve to the left of z = 1.25. A) 0.8944 C) 0.1056 B) 0.2318 D) 0.7682 Provide an appropriate response. 2) Find the area under the standard normal curve to the right of z= 1. A) 0.1397 C) 0.8413 %3D B) 0.5398 D) 0.1587 3) Find the area under the standard normal curve between z =0 and z = 3. A) 0.9987 B) 0.4641 D) 0.0010 C) 0.4987 Find the indicated z-score. 4) For a standard normal curve, find the z-score that is associated with the top 30%. B) 0.98 D) 0.53 5 24 28 34 A) 0.12 C) 0.47 34 Use the Normal Distribution to find each of the following probabilities. Note: On the exam students will be required draw the curve and shade the appropriate area. 5) Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Find the probability given the following z-scores for a standard normal distribution.
- P(z <1.35)
- P(z> 0.68)
- P (-2.43 < z < 0.88)