= Question Heip Suppose a simple random sample of size n= 50 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p= 0.4. Complete parts (a) through (c) below. & C. Approximately normal because ns0.05N and np(1 - p) 2 10. O D. Approximately normal because ns0.05N and np(1 - p) < 10. Determine the mean of the sampling distribution of p. = 0.4 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. on = 0.069282 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 23 or more individuals with the characteristic? That is, what is P(p20.46)? P(p20.46) = 0.1932 (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 18 or fewer individuals with the characteristic? That is, what is P(ps0.36)? P(ps0.36) = (Round to four decimal places as needed.)
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.
8.2 #2 answer c
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