Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If itpasses the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 82.0% of the components in the lotwill succeed in passing the test. Let X represent the number of successes among the three sampled components.Find P(SFS) and P(SSF). (Round the final answer to three decimal places.)P(SFS) =and P(SSF)=[

The objective of this question is to find the probability of two specific sequences of successes and…

Answered: Three components are randomly sampled,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 10 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 10 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.6, 5.9, 5.3, 5.8, 8.7, 6.2, 7.6, 6.4, 8.0, 4.0 Treated with placebo 3.0, 5.1, 4.7, 4.2, 4.7, 5.6, 5.9, 4.7, 7.1, 4.9 It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, l, of the patients treated…
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the 16 trials of this experiment: 285, 175, 164, 217, 273, 222, 212, 202, 236, 229, 171, 235, 193, 186, 261, 241 Send data to calculator th Find 40" and 75" percentiles for these reaction times. (a) The 40 th percentile: || milliseconds (Ь) The 75 th percentile: milliseconds
Let X and Y be independent random variables with μX = 3, σX = 3, μY = 2, and σY = 3. Find the mean and variance of X – Y. The mean of X - Y is . The variance of X - Y is .
A medical researcher claims that the proportion of patients receiving 200 mg of a newly-developed influenza vaccine who go on to contract influenza strain X is less than the proportion of patients receiving 200 mg of last year's influenza vaccine who contract influenza strain X. Of 320 patients who are given last year's vaccine, 114 contract influenza strain X. Of 350 patients who are given the new vaccine, 112 of them contract influenza strain X. Let PN be the proportion of patients receiving the newly-developed vaccine and pL be the proportion of patients receiving last year's vaccine. State the null and alternative hypotheses and the value of the test statistic. Ho: PN =PL versus HA: PN > PL; Test statistic: Z = 0.99 Ho: PN=PL versus HA: PN > PL; Test statistic: Z = 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 0.99
A nutritionist is looking at the connection between hours of TV watched and choice of sugary snacks in children identified as at risk for obesity. He asks children to document the number of hours of TV they watch and the number of sugary snacks they eat each day as shown in the first three columns of the following table. In this table, fill in the missing values in the XY column, and then calculate ΣXY. Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) XY A 3 3 9 B 1 3 C 2 1 2 D 4 2 8 E 5 4 ΣXY =42 Fill in the missing values in the X² column of the following table, and then calculate ΣX². Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) X² A 3 3 9 B 1 3 1 C 2 1 D 4 2 16 E 5 4 ΣX² =55 Fill in the missing values in the X – 1 column and the (X – 1)² column of the following table, and then calculate Σ(X – 1)². Child Hours of TV Watched (X)…
Let X1, X2, . . . are independent indicator variables with different probabilities of success. That is, P(Xi = 1) = pi. Define Yn = X1 + X2 + . . . + Xn. Find E(Yn), V ar(Yn) and coefficient of variation of Yn
Two coins are taken at random (without replacement) from a bag containing 6 nickels, 5 dimes, and 4 quarters. Let X denote the random variable given by the total value of the two coins. Find E(X). (Round your answer to four decimal places.)
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the 19 trials of this experiment: 171, 212, 285, 175, 202, 269, 193, 217, 164, 231, 261, 236, 186, 257, 271, 229, 250, 296, 226 Send data to calculator Find 20th and 75th percentiles for these reaction times. (If necessary, consult a list of formulas.) (a) The 20th percentile: milliseconds (b) The 75th percentile: milliseconds
Random collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound Lab A (x) Lab B (y) 1 2 3 4 7 9. 9.36 14.80 8.79 11.33 10.56 15.61 13.70 12.03 11.56 9.14 14.74 8.67 11.51 10.63 15.59 13.74 12.22 11.56 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. Compound Lab A (x) Lab B (y) d = x – y d2 1 3 4 7 8 Ed? Compute the sample test statistic. (Round your answer to three decimal places.) II
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the 15 trials of this experiment: 212, 236, 217, 235, 164, 257, 175, 285, 202, 193, 231,152, 269, 296, 186 Send data to calculator Find 30th and 75th percentiles for these reaction times.
1st Class 2nd Class 3rd Class Perished 117 163 526 Survived 187 112 186 Total 304 275 712 The table contains data on the survival numbers for passengers by known ticket class for the RMS Titanic when it sunk. Does this data suggest that ticket class and survivability were dependent using α = 0.01?
Nearly 75% of all deaths in the United States are attributed to just 10 causes, with the top four of these accounting for over 50% of all non-accidental deaths as follows: heart disease (23.4%), cancer (22.5%), respiratory disease (5.6%), and stroke (5.1%).t A study of the causes of n = 307 non-accidental deaths at a local hospital gave the following counts. Heart Respiratory Cause Cancer Stroke Other Disease Disease Deaths 81 80 29 13 104 Do the data provide sufficient information to indicate that the number of deaths at this hospital differ significantly from the proportions in the population at large? Test using the p-value approach. (Use a = 0.05.) State the null and alternative hypotheses. HoiP1 = P2 = P3 = P4 = P5 %D %D : At least one p, is different from Hai Ho: At least one p, is different from the specified value. Ha: P1 0.234; p2 = 0.225; p3 = 0.056; P4 = 0.051; P5 = 0.434 Ho: At least one p; is different from Нai P1 3 Р2 -Р3 — Р4 — P5 Hoi P1 H: No value of p, is the same as…

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