Problem #5: An assembly consists of two independent mechanical components. Suppose that the probabilities that the first andsecond components meet specifications are 0.93 and 0.87, respectively. Let X be the number of components in theassembly that meet specifications.Problem #5(a):Problem #5(b):(a) Find the mean of X.(b) Find the variance of X.Round your answer to 4 decimals.Round your answer to 4 decimals.

The random variable X defines the number of components in the assembly that meet specification.

Answered: An assembly consists of two independent…

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...

See similar textbooks

Similar questions

(* - 4) 23. What is the value of k=1 (A) mean (B) median (C) zero (D) variance and congider the
Verify whether the given table represents a probability distribution. In those cases where a probability distribution is described, find the mean and standard deviation. NOTE: The Rounding Rule for the mean and standard deviation: They should be rounded to one more decimal place than occurs in the raw data. For a group of four students, the number y who takes the Calculus II class next semester is given by this table. y P(y) 0 0.5131 1 0.3139 2 0.0624 3 0.1102 4 0.2002 Probability distribution with μ=0.4 and σ=0.4 Probability distribution with μ=0.6 and σ=0.1 Probability distribution with μ=0.6 and σ=0.3 Probability distribution with μ=0.7 and σ=0.4
Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=
R2 represents the proportion of the variance of the error term that is explained by the independent variable. True/False
For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years. POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…
A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.
The temperatures in °C, at midday in a German city during summer of 2017, were mersured for eight days and the results are recorded below. 21, 12, 15, 12, 24, T, 30, 24 The mean temperature was found to be 21°C. (a) Find the value of T. (b) Write down the mode. (c) Find the median.
HAV is a deformation of the big toe that often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity in 38 consecutive patients under the age of 21 who came to a medical center for surgery to correct HAV. The angle is a measure of the seriousness of the deformity. Here are the data. 292216 321828 231529 352322 372249 261623 263328 202530 321933 242138 262230 112023 2124 It is reasonable to regard these patients as a random sample of young patients who require HAV surgery. Given a 95% confidence interval for the mean HAV angle in the population of all such patients, find the following. x (mean) = s=(standard deviation) = Confidence Interval: ° to ° Conclusion 1) We are 95% confident that the mean HAV angle among such patients is within this interval. 2) We are 95% confident that the mean HAV angle among such patients is outside this interval. 3) The mean HAV angle among such patients will always be outside this interval 95% of…
P and A are independent, random variables. mean of P is 5 and its standard deviation is 3. mean of A is -2 and standard deviation is 6. what is mean of T= - 3P + 20 ? what is the mean of W= A - P? what is variance of D= P - 2A ?
R2 represents the proportion of the variance of the error term that is explained by the independent variable. True/ False

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS