In each case, determine the value of constant c that makes the probability statement correct. You can use a calculator, z-table, or software to solve this problem. (a) (c) = 0.9838 (b) P(0 ≤Z≤c) = 0.291 (c) P(Z > c) = 0.121 (d) P(-c ≤ Z≤ c) = 0.668 (e) P(|Z| ≥ c) = 0.016
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- Solve the following problems properly. A shipment of 8 television sets contains 3 defective sets. A hotel makes a random purchase of 4 these sets. If X is the number of defective sets purchased by the hotel, find (a0 the probability distribution and (b) the cumulative distribution of X. Using F(x), find (c) P(X = 2) and (d) P(0 < X <3).Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.35. Find P(E or F) if P(E and F)= 0.20. P(E or F) =| (Simplify your answer.)A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. CAC. 3 X 2- X c²2 p(x): = p(x) = p(x): = p(x): = 4 X 2 - X mean = c³c. CAC 3 C² C p(x): = variance = X 2- X c²72 4 X 2 - x C³ C. X 4 2- X c²72 for x = 0, 1, 2 for x = = 0, 1, 2, 3, 4, 5, 6, 7 for x = 0, 1, 2, 3, 4, 5, 6, 7 for x = = 0, 1, 2 for x = (b) What are the mean and variance of this distribution? (Round your mean to one decimal place and your variance to two decimal places.) = 0, 1, 2
- For a particular disease, the probability that a patient passes away within the xth year is given by the following table: xx P(x)P(x) 0 0.016 1 0.031 2 0.256 3 0.298 4 0.35 5 0.028 6 0.021 This means that the probability that someone passes away within the first year is 0.016. The probability that they pass away after one year would be 0.031. What is the mean number of years someone survives? (round to two decimal places) What is the standard deviation for the number of years someone survives? (round to two decimal places) The Range Rule of Thumb for survival would be: years to years. (Round each to two decimal places.) In your own words, interpret what the Range Rule of Thumb tells us about this disease. (If you don't remember what the Range Rule of Thumb is, review the heading "Unusual Values" in the Learning Activities.)Using historical records, the personnel manager of a plant has determined the probability of X, the number of employees absent per day. It is 2 4 6 7 P(X) 0.005 0.0246 0.31 0.33910.2195 0.080.01850.0033 4. Find the following probabilities. Be sure to give your answer to 4 decimal places. A. P(2 5) Probability = С. Р(Х < 4) Probability: %3D 出i need the answer quickly
- The graph of the discrete probability to the right represents the number of live births by a mother 41 to 45 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0.165 Uhur 0.114 0.107 3 4 5 Number of Live Births (Round to one decimal place as needed) 0.30- 0.25- 0.20- 0.15- 0.10- 0.05- 0.00T 0 0.234 1 0.281 2 0.021 0.025 6 0.053 7 8 (a) What is the probability that a randomly selected 41- to 45-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 41- to 45-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 41- to 45-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) (d) If a 41- to 45-year-old mother who had a live birth in 2015 is…X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
- In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a) (c) = 0.9830 USE SALT (b) P(0 ≤ Z≤ c) = 0.3051 (c) (d) P(CZ) = 0.1357 P(-c ≤ Z≤ c) = 0.6424 (e) P(c≤ |Z|) = 0.0128 You may need to use the appropriate table in the Appendix of Tables to answer this question.Find the probability P(Ec) if P(E)=0.17.The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.