Let X be the number of tails that turned up when two fair coins are tossed. What are the possible outcomes for X, the probability of each, and the distribution function value?
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- Construct the probability distribution for rolling two dices where the random variableX= the sum of number of spots on both dices is at most 6.b. Use the probability distribution you have made in part a, and find the expected mean andvariance of X.An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 The Manager provides the following utility function to evaluate the two stores. xi 0 1 2 3 4 5 6 u(xi) 1.00 0.60 0.40 0.20 0.10 0.05 0.00 Which store does the Manager prefer as having fewer complaints? Compare using utility as the metric with using the average number of complaints as the criterion for deciding which Store is better (or…Aiyana has purchased the life insurance policy for her snake for the price of $100 per year and Aiyana will receive $5000 in case if her snake passes away. The insurance company estimated the probability of her snake passing away during the length of the policy to be 0.2%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) snake passes away snake survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
- A = 11 B = 2 C= 2 D = 0 F = 1 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 98, 95, 72An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Sample from these distributions to compute the total number of complaints (store A+B) per week for 52 weeks.When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.
- Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.QI For the next data if (k = 6 , L= 6 ), The probability distribution is: * 12 16 17 17 20 21 22 25 25 26 28 30 32 32 34 35 39 41 43
- you grab 4 marbles from a bag containing 5 red marbles and 2 green marbles. Let X be the number of red marbles you grab. a. Complete yje probability distribution for X. Show all your work. x p(X=x)Nicole has purchased the life insurance policy for her fish for the price of $200 per year and Nicole will receive $4000 in case if her fish passes away. The insurance company estimated the probability of her fish passing away during the length of the policy to be 0.5%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) fish passes away fish survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)Answer 1&2 plz
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