For a normally distributed random variable x with u = 100 and o = 16, use technology to find each probability. P(92 < x < 108) O4.48% 68% 38.29% O 28.87%
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- 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 Sample from these distributions to compute the total number of complaints (store A+B) per week for 52 weeks.The literacy rate for a nation measures the proportion of people age 15 and over that can read and write. The literacy rate in Afghanistan is 28.1%. Suppose you choose 15 people in Afghanistan at random. Let X = the number of people who are literate. Find the probability that is four people are literate. 0.2259 0.2246 O 0.1927 None of the choicesIn 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 0.001
- The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 2 3 4 P(x) 0.1666 0.3437 0.2774 0.1486 0.0384 0.0253enmath.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 14567090High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
- For each probability and percentile problem, draw the picture.A random number generator picks a number from 1 to 8 in a uniform manner. Part (e) ? = rounded to two decimal places) Part (f) P(3.5 < X < 7.25) = (Enter an exact number as an integer, fraction, or decimal.) Part (g) P(X > 3.67) = (rounded to two decimal places)Suppose 12% of people prefer the look of LCD screens to MicroLED screens. If 2 people are randomly selected (assume independence), determine the probability that the first person or second person prefers LCD screens, i.e. find P(L1 or L2) A. 0.226 B. 0.088 C. 0.122 D. 0.156 E. 0.240Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31%. Total number of cars manufactured by all plants: 1.2 million/year. Number of cars of no warranty claims manufactured by plant1: 223200/year. Compute the warranty claim rate of the cars assembled in plant1? C: warranty Claim rate NC: No warranty claim rate= 1- C P1 20% Total Cars Manufactured C = P2 NC 24% P3 P4 .% 25% 31% C NC C C Z NC .NC
- Fill 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. 0.28We throw a fair dice. Let X denote the square of the difference between the smallest even number on the dice and the number appears on the dice. Determine the range and the probability distribution of X, draw the graph of the cumulative distribution function F of the random variable X and find the expected value and the variance of X.A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number of cavities filled in the last three years for a randomly chosen patient. The dentist found that the random variable, X, had the probability distribution shown in the table. Number of Cavities Probability 0 0.35 0 0.15 O 1.49 1.73 2.98 2 0.30 0.15 3 0.15 4 0.05 Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities are filled independently of one another, what is the standard deviation of D?
