One box contains five white balls, three yellow balls and seven green balls. The experience random consists of randomly removing two balls without replacement.. Y is a variable , sum of the points obtained. Each color has a score : white ball - 1 point; yellow ball - 2 points;green ball - 3 points f.1 Calculate P(Y > 3 | Y< 6). f.2 Determine the distribution function of the random variable Y.
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- Mitchell is getting ready to take a baseball rules exam in order to becomne certified as a baseball umnpire in his local community. Past scores on the rules exam form a normal distribution with u = 80 and o = 6. Mitchell must score in the highest 25% of the distribution in order to become a certified umpire. Which minimum score does Mitchell need to obtain on the rules exam to become a certified umpire? OX= 76 O X- 84 OX= 86 OX-81Total blood volume (In ml) per body welght (In kg) is Important In medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kg.t Red blood cell volume that is too low or too high can Indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 26 40 37 31 35 29 Let x be a random varlable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data Indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) what is the level of significance? State the null and alternate hypotheses. Will you use a left-talled, nght-taled, or two-talled test? O Ho: H= 28 ml/kg; H: H> 28 ml/kg; right-tailed O Hg: H- 28 ml/kg; H: u = 28 ml/kg; two-taled O Ho: H- 28 m/kg; H: H 23 2$ backspace 1 4. 8 9.Which one of these variables is a continuous random variable? Oa. The number of tattoos a randomly selected person has. Ob. The number of correct guesses on a multiple choice test. The time it takes a randomly selected student to complete an exam. Od. The number of women taller than 68 inches in a random sample of 5 women O . None of these
- Five percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ= (Round to the nearest hundredth as needed.)A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 6.1 37.359 23 75.37 18.9 73.391 24.9 79.531 21.9 77.961 23.8 78.122 20.6 73.114 22.6 73.494 8.4 46.396 6.6 38.454 10.7 50.433 21 77.99 22.1 76.399 6 41.14 22.4 73.056 14.1 58.879 9.9 48.681 15 58.85 19.3 69.267 18 72.42 Round answers to at least 4 decimal places. a) Calculate the correlation coefficient. r= Perform a hypothesis test to see if the correlation is statistically significant. What is the p-value? b) Find the regression equation y^ = Predict the exam score for a student that scored 26.9 on their third homework assignment. c) Interpret the slope coefficient. For 2.2342 additional points on…The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Click the icon to view the table. Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is girls. (Round to one decimal place as needed.) *** Probability Distribution for x Number of Girls x 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.002 0.012 0.043 0.115 0.203 0.234 0.198 0.115 0.038 0.011 0.029 D - X
- Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791Which one of the following statements is True? The Odds against A equals 1 – Odds in favor of A. For a mound shaped distribution if the skew is positive then the mean is greater than the median. P(n, r) = C(n, r) / r! The probability of an event equals the number of favorable outcomes divided by the number of unfavorable outcomes. A Bimodal distribution is symmetric.Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kgt. Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 26 43 37 32 38 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 28 ml/kg; H,: µ > 28 ml/kg; right-tailed O Ho: H = 28 ml/kg; H,: u < 28 ml/kg; left-tailed O Họ: H + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H,: µ + 28 ml/kg; two-tailed (b) What sampling distribution will you…
- The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. Round to two decimal places. X P(x) 1 0.05 O A. 0.56 OB. 3.97 OC. 3.57 OD. 1.95 2 3 0.19 0.20 4 5 0.25 0.12 6 0.10 7 8 0 0.08 9 10- 0 0.01A dog walker walks 16 dogs on average per month a month is randomly Chosen what is the distribution of xThe table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor H= 51.0 H = 43.0 6 = 6.9 0 = 16 In a particular year, the Best Actor was 50 years old and the Best Supporting Actor was 47 years old. Determine the z-scores for each. Best Actor: z = Best Supporting Actor: z = (Round to two decimal places as needed.) Clear All Check Answer Help Me Solve This View an Example Get More Help - 10:22 PM P Type here to search 68°F Cloudy ^ 24 88 10/7/2021 10.0517 Esc FI C F5 F2 F3 F4 F6 F7 F8 PrtSc Insert Delete F9 F10 F11 F12 C@ 3 6 80 Backspace Num Lock T Y U P 7 Home PaUp S D G +II HI 5 LL LU
