In order to see what happens when the normal approximation is improperly used, consider the binomial distribution with n = 15 and p = 0.05. Since np = 0.75, the rule of thumb (np > 5 and nq > 5) is not satisfied. Using the binomial tables, find the probability of one or fewer successes and compare this with the normal approximation.
Answer to relevant QuestionsFind the normal approximation for the binomial probability P(x = 6), where n = 12 and p = 0.6. Compare this to the value of P(x = 6) obtained from Table 2. Melanoma is the most serious form of skin cancer and is increasing at a rate higher than any other cancer in the United States. If it is caught in its early stage, the 5-year survival rate for patients on average is 98% in ...a. Use a computer to draw 200 random samples, each of size 10, from the normal probability distribution with mean 100 and standard deviation 20. b. Find the mean for each sample. c. Construct a frequency histogram of the ...According to Nielsen’s Television Audience Report, in 2009 the average American home had 2.86 television sets (more than the average number of people per household, at 2.5 people). If the standard deviation for the number ...What is the probability that the sample of kindergarten children in Example 7. 6 has a mean height of less than 39.75 inches?
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