m118 Homework 10 (5.2)Name:Please work all problems and show your work. Remember, an answer with no justification is no answer.Based on concepts from Section 5.2 (Expected Value, Variance, and Standard Deviation)1. [a] Find the missing values of the following probability distribution.[b] Find the variance.[c] Find the standard deviation .x 8 Pr[x] x?Pr[ x] 0.2 2 0.1 5 0.5 30.4E[x]= 2.5 2. A basketball player makes each free throw with a probability of 0.75. If this player attempts 75 shots, find theexpected value and standard deviation for the number of made free throws. 3. An experiment consists of rolling a pair of dice 42 times. If the random variable X is defined as the number oftimes the dice produce a sum larger than 8:[a] What is the expected value of X? [b] What is the standard deviation? 4. A jar contains 3 nickels and 2 dimes. You reach in and randomly select 2 coins. Let X represent the value of the twocoins in cents. Find the expected value and standard deviation of X. 5. There are 10 books on a shelf. Eight are fiction and two are non-fiction. Three books are selected at random. A random variable is defined to be the number of non-fiction books selected. Find the expected value and standard deviation for this experiment. 6. Suppose 10% of all people are left-handed. If 300 people are selected at random, find the expected value andstandard deviation for the number of left-handed people in the sample. 7. In a carnival game the probability that you win $100 is 0.04, the probability that you win $10 is 0.30, and the probability that you lose $5 is 0.66. What is your expected return per game? (i.e. find the expected value)?
Originally posted 2018-07-09 20:53:17. Republished by Blog Post Promoter