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- Please no written by hand solutions Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a) If 20 cards are defective, what is the probability that at least 1 defective card is in the sample? b) If 5 cards are defective, what is the probability that at least 1 defective card appears in the sample? c) Calculate the mean and variance of the number of defectives in the sample when 5 cards are defective?One hundred adults were randomly sampled and took their BMI and categorize them as Underweight, Normal Weight and Overweight. The data is summarized in the following table. If one of the hundred aults is randomly selected: a) What is the probability that they are 56+ or overweighted? b) What is the probability that they are underweighted or normal weighted? c) Is it correct to say that a randomly selected adult is 1.2 times as likely to be an overweighted as underweighted? Justify your answer.a) A random variable has a binomial distribution. Findi) Its expexctation
- A student randomly guesses at four multiple-choice questions. Each question has three possible choices. The random variable X denotes the number of correct answers. This experiment can be modeled as Oa) a normal experiment with mean 4 and standard deviation 1/3. O b) a normal experiment with mean 1/3 and standard deviation 4. O c) a binomial experiment with 3 trials and success probability 1/4. O d) a binomial experiment with mean 4 and standard deviation 1/3 O e) a binomial experiment with 4 trials and success probability 1/3.5) Samples of size n = 2 are randomly selected with replacement from the popula- tion consisting of 2, 4, and 10, where the values represent the number of people in households. 5a) Find the mean of each of the nine samples and summarize the data in the form of a probability distribution. seroMvT as borolgo olgouq Ind upo o t te bas io 5b) Compare the population mean to the mean of the sample means in this example. Does this support the idea that sample means do not target the population means?A digital scale is used that provides weights to the nearest gram. The sample space for this experiment is S = {0, 1, 2, 3,...). Let A denote the event that a weight exceeds 11 grams, let B denote the event that a weight is less than or equal to 15 grams, and let C denote the event that a weight is greater or equal to 8 grams and less than 12 grams. Describe the event A OA (8, 9, 10, 11) OB, 7, 8, 9, 10, 11) OC (8, 9, 10,...) O D. (0, 1, 2, 11)
- The probability that a first-time tourist to the city ofChicago will visit the Art Institute is 0.4, will visit the Museumof Science and Industry is 0.3, and will visit both is 0.1. If afirst-time tourist to Chicago is randomly selected, find theprobability that the tourist will visit the Art Institute or theMuseum of Science and Industry.Q2) a). Two balanced dice are rolled. What is the probability that the sum of dots on the top space of both the dice is 10? b). The mean and standard deviation of a binomial probability distribution is 2 and I respectively. Calculate Probabilities for random variable X = 0, 1, 2, 3 and 4.If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes. S = { } A survey of 500 randomly selected high school students determined that 480 play organized sports. What is the probability that a randomly selected high school student plays organized sports? P(plays organized sports) =
- a) Seven puppies were born in a litter, and it is determined whether each puppy is male or female. How many outcomes exist in the above experiment? b) Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 25 bank accounts, we want to take a random sample of six accounts in order to learn about the population. *How many different random samples of six accounts are possible?4 of 16 (2 complete) 5.6.6 Let sample space S={1, 2, 3, 4, 5, 6}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an odd numbe P(E) = (Type an integer or decimal rounded to three decimal places as needed.) Enter your answer in the answer box and then click Check Answe. All parts showing Clear All Check nere to search (?
