pter 4 Probability 4-5 Basic Skills and Concepts Statistical Literacy and Critic
ID: 3049086 • Letter: P
Question
pter 4 Probability 4-5 Basic Skills and Concepts Statistical Literacy and Critical Thinking 1. Subjective Probability s class, at l a. Estimate the probability th at on the next test in a randomly selected statistic one student earns a grade of A. b. Answer part (a) with the aditional knowledge that the selected class is a special section f honors students with very high grade point averages. 2. Conditional Probability What is a conditional probability? 3. Notation Let event A = subject is telling the truth and event B = polygraph test in cates that the subject is lying. Use your own words to translate the notation P(B A) into 4. Confusion of the Inverse Using the same events A and B described in Exercise 3, what is Describing Complements. In Exercises 5-8, provide a written description of the com. verbal statement. confusion of the inverse? (Express the answer in both words and symbols.) plement of the given event, then find the probability of the complement of the given evet. 5. Five Girls When a couple has five children, all five are girls. (Assume that boys and girls 6. No Girls When a couple has five children, none of the five is a girl. (Assume that boys and are equally likely.) girls are equally likely.)Explanation / Answer
5)
Probability of girl = 1/2
Given event is: When couple has five children, all five are girls
Complement of given event is : When couple has five children, atleast one child is not girl
P(When couple has five children, atleast one child is not girl) = 1 - P(When couple has five children, all five are girls) = 1- (1/2)5 = 1 - 0.03125 = 0.96875
6)
Given event is: When couple has five children, none of the five is a girl
Complement of given event is : When couple has five children, atleast one child is girl
P(When couple has five children, atleast one child is girl) = 1 - P(When couple has five children, none of the five is a girl) = 1- (1- 1/2)5 = 1 - 0.03125 = 0.96875
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