Construct a table of values for all the nonprincipal Dirichlet characters mod 16.
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- Students at certain university have to pass of one these three courses (MAT102, STA105, and PHY110). The pass rates for the courses MAT 102, STA105, and PHY110 are 0.54, 0.79, and 0.86, respectively. Suppose that 30 candidates take the MAT102 course, 25 take the STA105 course and 20 take the PHY110 coruse. A student takes one of these courses and passes. What are the probabilities that she took MAT102, STA105 or PHY110? Hint: Denote by Q the event a student to pass their course. Now denote by R1, R2 and R3 the events to take courses MAT102, STA105, and PHY110. The pass reates then represent the conditional probabilites: P(Q| R1), P(Q| R2) and P(Q| R3). The number of students taking the courses can be used to estimate the probabilities for R1, R2 and R3. For example, since there are total of 30 + 25 + 20 = 75 students that take the courses, for R1 we have: P(R1) = 30/75 = 2/5 What you are asked is: given that a student passes (event Q) estimate the probabilities that she took MAT102…Only 70% of the pints of human blood donated at blood banks are suitable for hospital use. The remaining 30% are not suitable due to various infections in the blood. Suppose we randomly choose 18 donated pints of blood from a blood bank. Assume these pints come from randomly selected citizens. Our selections of blood pints are independent from one another. Let X be the number of selected pints of blood which are suitable for hospital use. Let Y be the number of selected pints of blood which are not suitable for hospital use. Let p = the probability of a particular randomly selected pint of blood being suitable for hospital use a. What is the value of p as a decimal? b. What is the probability that X = 12? c. What is the probability that X 12? d. What is the probability that 10 ≤ x ≤ 15? e. What is the expected value of X? f. What is the variance of X? g. What is the probability that all selected pints of blood are suitable? h. What is the probability that Y < 5? i. What is the…A digital communication channel transmits bits of information, usually designated as 0 and 1. If a sender transmits a 0, he/she hopes the recipient receives a 0. If a sender transmits a 1, he/she hopes that the recipient receives a 1. Unfortunately, this is not always the case. Suppose on a certain transmission line, a transmitted 0 is received correctly 90% of the time (10% of the time a 1 is received), and a transmitted 1 is received correctly 74% of the time. (26% of the time a 0 is received.) It is known that on this transmission line, 80% of all bits transmitted are 0 bits.A randomly selected transmitted bit is examined. Say its value is X. The bit received is Y.a.What is the probability that X = 0? b.What is the probability that X = 0 and Y = 0? c. What is the probability that X = 1 and Y = 0? d. What is the probability that Y = 0? e. What is the probability that X = 0 given that Y = 0? f. If 1000 random transmitted bits are examined, what is the expected number of 0 bits in this…
- A company receives a large shipment of bolts. The bolts will be used in an application that requires a torque of 100 J. Before the shipment is accepted, a quality engineer will sample 12 bolts and measure the torque needed to break each of them. The shipment will be accepted if the engineer concludes that fewer than 1% of the bolts in the shipment have a breaking torque of less than 100 J. Assume the 12 values(107, 109, 111, 113, 113, 114, 114, 115, 117, 119, 122, 124) are sampled from a normal population, and assume the sample mean and standard deviation calculated in the previous question (mean: 114, standard deviation: 5) are actually the population mean and standard deviation. Compute the proportion of bolts whose breaking torque is less than 100 J. Will the shipment be accepted? Express the answer as a percentage.(Round the final answer to two decimal places.)The data file includes the text of three books of the Bible (Joshua, Jonah and Philippians) using the ESV translation. While these are all great books, our only interest for this project is how often each letter is used. 3) Identify those letters whose Cls do not overlap with any the CIs of any of the other letters. (For example the CI [0.042, 0.052] overlaps with [0.050, 0.060] because the upper bound of the first CI is greater than the lower bound of the second CI.) List the letters with the non-overlapping Cis and specify how many such letters there are Question 3 answers: Letters Lower bound Upper bound L 0.037072109 0.042042 D 0.043728076 0.049092 E 0.11621383 0.12451 4) The previous analysis could be useful if our goal was to decipher an encrypted message, where each letter is scrambled (for example, each “a” might become a “g”, while each “b” might become an “o” and so forth). a) Assume that the letter “z” in encrypted message has a relative frequency of 0.06…Let A =000 Compute JCF(A).
- An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 25, M = 12, and n = 8 O binomial with n = 12, x = 8, and p = 8/12 O binomial with n = 25, x = 12, and p = 8/25 O hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X = 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X = 2) = P(X S 2) = P(X 2 2) (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value radios…An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other ten have a single slot. Suppose that eight of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 10, M = 8, and n = 10 O binomial with n = 10, x= 8, and p = 8/10 O binomial with n = 20, x= 10, and p = 8/20 O hypergeometric with N= 20, M = 10, and n = 8 (b) Compute P(X= 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X= 2) = P(X ≤ 2) = P(X z 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…Chld=6b3a6c71-8ab7-4b02-a3b7-6f499f574662#/question/3 5 Biosynthetic - Go... O b-day invitation S spy stuff S Surveillance Gear... T Thesaurus QuillBot DEL BeachBoard M McGraw Hill Conn. M NutritionCalc Plus e Copy of Ch 8: Homework Question 4 of 6 -12 View Policies Current Attempt in Progress Use the following information to compute the confidence interval for the population proportion. a. n = 715 and x = 329, with 95% confidence b. n = 284 and p = .71, with 90% confidence c.n= 1250 and p = .48, with 95% confidence d. n = 457 and x = 270, with 98% confidence Appendix A (Round your answers to 4 decimal places.) a. 0.4235 sps 0.4965 b. C. sps d. sps Last saved 9 seconds ago. Attempts: 0 of 3 use Save for Later Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes. 169 étv 21
- An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that five of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (b) (b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.)An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other ten have a single slot. Suppose that six of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 10, M = 6, and n = 10 O binomial with n = 20, x = 10, and p = 6/20 hypergeometric with N = 20, M = 10, and n = 6 O binomial with n = 10, x = 6, and p = 6/10 (b) Compute P(X= 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X = 2) = P(X ≤ 2) = P(X ≥ 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other fifteen have a single slot. Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 25, M = 10, and n = 8 O binomial with n = 25, x = 10, and p = 8/25 hypergeometric with N = 10, M = 8, and n = 10 O binomial with n = 10, x = 8, and p = 8/10 (b) Compute P(X= 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X = 2) P(X ≤ 2) = P(X22)= (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…
