Conditional ProbabilityThe following table summarizes the analysis of samples of galvanized steel for coating weight andsurface roughness:SurfaceRoughnessHighLowCoating WeightHigh1288Low1634(a) If the coating weight of a sample is high, what is the probability that the surface roughness is high?(b) If the surface roughness of a sample is high, what is the probability that the coating weight is high?(c) If the surface roughness of a sample is low, what is the probability that the coating weight is low?Multiplication and Total Probability rulesThe probability is 1% that an electrical connector that is kept dry fails during the warranty periodof a portable computer. If the connector is ever wet, the probability of a failure during the warrantyperiod is 5%. If 90% of the connectors are kept dry and 10% are wet, what proportion ofconnectors fail during the warranty period?

Farmula used P(A|B)=P(A and B)/P(B) Note: According to Bartleby guidelines expert solve only one…

Answered: Conditional Probability The following…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider the table below gives the probabilities of the distribution of random variable X. Value of X P(X=x) (denoted by x) f(x) 0 1 2 3 4 567 00 8 0.14 b C 0.10 0.13 0.13 d 0.02 0.01 In reference to the table, suppose that b = f(1) =0.2 and c = f(2)= 0.06. What is the probability P(X ≥ 4) equal to?
The most important measure in any business is a successful purchase of their product. Task success is a discrete measure (0 is fail, 1 is successful purchase). The following table shows a discrete distribution across 100 clients for product purchase. Table 4 ((purchase success) P(probability purchase) v Calculate the expected value for table4? 0.1 0.3 |0.2 0.4 A. 0.0625 Calculate the discrete variance for table 4? B. 1.04 v What is the binomial probability that you find less than 11 clients who will buy your extended warranty C. 1.90 if you present to 79 clients, and the probability of a client buying a warranty after your presentation is 20%? D. 2 v What is the binomial expected value a client buys your extended warranty if the probability is 20% and 79 E. 4.620 clients are in the sample? F. 1.09 G. 15.80 v What is the binomial variance when a client buys your extended warranty if the probability of buying is 20% and 79 clients are in the sample? H. 12.64 1. 0.91 J. 10/79 K. 3.56 L.…
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
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Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.336 0.296 0.340 0.248 0.367 0.269 y 3.2 7.5 4.0 8.6 3.1 11.1 (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t critical t ± (d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ± (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit please show steps and work
The following table represents a Discrete Probability Distribution for the number of days it takes John’s Garage to repair vehicles for its customers. Number of days to repair a vehicle 1 2 3 4 5 6 7 Probability 26.7% 33.6% 15.8% 13.7% 6.3% 2.4% 1.5% With the aid of a table, calculate the following mean variance, and standard deviation
Question: Let H be the discrete r.v. that represents the number of heads obtained when a fair coin is flipped four times. What is the expected value of this distribution?
GROUP A: 2. The amount of the demand of deposits made daily in a certain banking agency, is random with normal distribution of average 120 currency units and variance 64. Determine: (a) the percentage of days on which the amount of demand deposits is between 105 and 135 currency units. (B) the probability that the amount of deposits is higher than the average, in the days when this amount is less than 125 currency units. wwwwwwwww (C) the average and variance of the amount of demand deposits made weekly (consider that a week has 5 days). (D) the lower limit of the amount of deposits which is 90% of the days.
2. Two businessmen examine the joint distribution for X and Y. Find the Expected value of X, Y, and XY, variances of X, Y, and XY, and standard deviation of X and Y. y f(x,y) 1 2 3 0.10 0.05 0.02 x 0.10 0.35 0.05 0.03 0.10 0.20 123
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Chocolate Chip Cookie Calories The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 14 different brands of 1-ounce chocolate chip cookies resulted in the following calorie amounts. At the a=0.10 level, is there sufficient evidence that the average calorie content is greater than 110 calories? Assume the population is normally distributed.100 105 185 105 110 115 150 120 180 120 150 100 125 151 a. State the hypotheses and identify the claim H0= (claim or not claim) H1= (claim or not claim) This hypothesis test is a (one tailed or two tailed) test Critical value(s)= t= (Reject or do not reject) the null hypothesis is there enough evidence to support the claim?

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