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Test Il Review 1) Determine whether the following statements are true (T) or false (F). a. The following distribution represents a probability distribution 4 5 P(x) 0.08 0.02 0.70 0.20 0.10 b. The normal distribution is a continuous distribution. c. If a single SHSU student is selected, let event A be that the student is a junior and let event be that the student is a mathematics major. Then events A and B are mutually exclusive. d. The mean and standard deviation of the standard normal distribution are 1 and 0, respectively e. In a binomial experiment, each of the trials must be independent. f. If P(A) = 0.56, P(B) = 0.75, and P(A and B) = 0.42, then A and B are independent events. 8. According to the central limit theorem, when the distribution of the original variable is not normal, a sample size of 30 or less is needed to use a normal distribution to approximate the distribution of the sample means. h. Interviewing 50 applicants to see if they were admitted to SHSU or not is an example of a binomial experiment. 1. Approximately 95% percentage of normally distributed data values will fall within 1 standard deviation above or below the mean. 1. Area above the mean of any normal curve remains 1.

Answer 1

(a) Pexy = 0.08 +0.02 +0.70+0:20 +0:10 = 4 Yi [ But, 02EP (X)$1.]. tion. (b) The normal distribution is a continuous diskibu Ans: [ Tone (r)] . (e) PLANB) to .so, not mulually exclusive Ans: Ralse (F) fet, standard Normal distribution, Mean zo, standard M20 ; (e) si deviation =t. Ane: Truelt) for Binomial experiment must be independent each tail is Ans: Towe(t) i

(f) PCA) 20:56, PCB) =0.75 PLANB)20-42 PCA) PCB) 20:56 x0.75= 0-42 So, PCA) PCB) = PLAN B) C A and B are independent wents And: Towe Lt) Ans: f alse LF)] (h) Ans: [ True (D) 3 Ans: Falself) as % data lies within 2 so of li) [Parse(e)) mean. 0.5 +0:5 st