For a normally distributed random variable x with u = 100 and o = 16, use technology to find each probability. P(x > 84) 75.17% 24.83% 15.87% 84.13%
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- In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X. Hx = marriages (Type an integer or a decimal. Do not round.) X 0 1 2 3 4 5 P(x) 0.264 0.567 0.136 0.029 0.003 0.001The joint probability distribution for the Random variable X and Y is shown below where X = the number of Strawberry ice-cream cones in the freezer Y = the number of Chocolate ice-cream cones in the freezer y p(x, y) 1 2 .025 .015 .010 .050 .030 .020 .075 090 .125 .050 150 060 012For the experiment described below, let x determine a random variable, and use knowledge of probability to prepare a probability distribution. Two names are drawn from a hat, signifying who should go pick up pizza. five of the names are on the swim team and six are not. The number of swimmers selected is counted.
- enmath.com SCore: 27T S75 answered Question 4 Assume that 12 jurors are randomly selected from a population in which 81% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(x) 0+ 0+ 2. 0+ 3. 0+ 0.0004 0.0025 0.0123 0.0449 8 0.1195 0.2265 0.2897 11 0.2245 12 0.0798 Find the probability of exactly 6 Mexican-Americans among 12 jurors. P(x = 6) = Find the probability of 6 or fewer Mexican-Americans among 12 jurors. P(x < 6) = Does 6 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? O no O yes Check Answer 12 étv MacBook Air 14567090Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X. X 0 1 2 3 4 or more Probability 0.58 0.23 0.11 0.05 0.03 If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F. (a) Construct the probability distribution of the random variable Y. (b) Determine the mean and standard deviation of Y. Show your work. Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0.40 and 0.66, respectively. The fat quarters sell for $5.00 each, but are discounted by…Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.2 mg/L with 95% of the data ranging from 5.4 mg/L to 13.0 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume xhas a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L?(Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
- If z is a standard normal random variable, find the probability.The probability that z lies above 1.1229% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.If z is a standard normal random variable, find the probability.The probability that z lies above 2.13
- On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution What is the probability of receiving more than three pieces of junk mail today? O a. 0.2939 O b. 0.2639 O c. 0.2693 d. 0.2369Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 1, 2, 4, 5, and 6. Value x of X P(X = x) %3D 1 0.10 2. 0.20 4 6. 0.28Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 6.3 mg/L to 13.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
