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1). Let Z be standard normal random variable, find b such that P(Z > b)= 0.1251 01115 15 C) 2.24 D)-2.24

1). Let Z be standard normal random variable, find b such that P(Z > b)= 0.1251 01115 15 C) 2.24 D)-2.24

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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1). Let Z be standard normal random variable, find b such that P(Z > b)= 0.1251 A) 1.15 B)-1.15 C) 2.24 D) -2.24 2). If a random variable X has a normal distribution with mean u = 60 and standard deviation o=6, then P(55< X < 66) - A) 0.3217 B) 0.7492 C) 0.8180 D) 0.6380 3). Given that the population mean µ- 69 and population standard deviation o=12, for a random sample of size n-36, the mean of sample mean , and the standard deviation of sample mean o, are, respectively, B) = 68, 0 = 2 C) ₂ =69, 0₂ = 2 D) μ = 68, σ = 12 A) - 0, 0, -1 4). Given that the population mean u= 68 and population standard deviation o=12, for a random sample o size n-36, then P(X>70) - A) 0.6915 C) 0.4681 B) 0.1587 D) 0.3085 5). In how many ways can a president and vice-president be selected from a club consisting 11 people A) 110 B) 19 C) 90 D) 132 6). If X is a binomial random variable with n= 6 and p=0.4, the probability P(X21) is A) 0.2333 B) 0.7667 C) 0.9959 D) 0.9533 7). If X is a binomial random variable with n=9 and p-0.4. The standard deviation of X is A) 1.4697 B) 2.16 C) 3.6 D) 1.8974 If X has the following probability distribution: Answer 8 and 9: 8). Find P(X-1) ? C) 0.4 D) 0.3 X -1 0 P(X-x) 0.2 0.3 D) 9.12%. A) 0.2 B) 0.1 C) 0.81 D) 2.09 9). Find the variance of X? A) 8.41 B) 2.9 10). The calculus 1 test scores are normally distributed with a mean of 70 and a standard deviation of 20, find the percentage of scores that will fall below 50. A) 15.87% B) 4.77% C) 10.56% A group of 100 employees were classified according to their gender and smoking habits as shown below If one employee is selected at random, answer questions 11 and 12. 11). The probability that the employee is a smoker is equal to A) 0.32 B) 0.80 C) 0.20 D) 0.48 12). Given that the employee is male, then the probability that he is a non-smoker is equal to A) 0.3333 B) 0.6666 C) 0.1600 D) 0.3200 Smoker 16 Gender Male Female 4 1 b 13). In how many ways can a committee of 3 members be formed from a group of 7 people? A) 630 B) 210 C) 35 D) 21 2 3 0.2 0.2 Non-smoker 32 48
Transcribed Image Text:1). Let Z be standard normal random variable, find b such that P(Z > b)= 0.1251 A) 1.15 B)-1.15 C) 2.24 D) -2.24 2). If a random variable X has a normal distribution with mean u = 60 and standard deviation o=6, then P(55< X < 66) - A) 0.3217 B) 0.7492 C) 0.8180 D) 0.6380 3). Given that the population mean µ- 69 and population standard deviation o=12, for a random sample of size n-36, the mean of sample mean , and the standard deviation of sample mean o, are, respectively, B) = 68, 0 = 2 C) ₂ =69, 0₂ = 2 D) μ = 68, σ = 12 A) - 0, 0, -1 4). Given that the population mean u= 68 and population standard deviation o=12, for a random sample o size n-36, then P(X>70) - A) 0.6915 C) 0.4681 B) 0.1587 D) 0.3085 5). In how many ways can a president and vice-president be selected from a club consisting 11 people A) 110 B) 19 C) 90 D) 132 6). If X is a binomial random variable with n= 6 and p=0.4, the probability P(X21) is A) 0.2333 B) 0.7667 C) 0.9959 D) 0.9533 7). If X is a binomial random variable with n=9 and p-0.4. The standard deviation of X is A) 1.4697 B) 2.16 C) 3.6 D) 1.8974 If X has the following probability distribution: Answer 8 and 9: 8). Find P(X-1) ? C) 0.4 D) 0.3 X -1 0 P(X-x) 0.2 0.3 D) 9.12%. A) 0.2 B) 0.1 C) 0.81 D) 2.09 9). Find the variance of X? A) 8.41 B) 2.9 10). The calculus 1 test scores are normally distributed with a mean of 70 and a standard deviation of 20, find the percentage of scores that will fall below 50. A) 15.87% B) 4.77% C) 10.56% A group of 100 employees were classified according to their gender and smoking habits as shown below If one employee is selected at random, answer questions 11 and 12. 11). The probability that the employee is a smoker is equal to A) 0.32 B) 0.80 C) 0.20 D) 0.48 12). Given that the employee is male, then the probability that he is a non-smoker is equal to A) 0.3333 B) 0.6666 C) 0.1600 D) 0.3200 Smoker 16 Gender Male Female 4 1 b 13). In how many ways can a committee of 3 members be formed from a group of 7 people? A) 630 B) 210 C) 35 D) 21 2 3 0.2 0.2 Non-smoker 32 48
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