Consider the following probability distribution; determine the standard deviation.Probability0.150.190.28012341.4751.6182.0401.3861.2720.230.15

Answered: Consider the following probability…

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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There is a chance that a bit transmitted through a digital transmission channel is received in error. Let the random variable X equal the number of bits in error in the next four bits transmitted. The probability distribution is given below: x 0 1 2 3 4 p(x) 0.4561 0.3316 0.1467 0.062 0.0036 Confirm the above represents a valid discrete probability function. Calculate the mean and standard deviation of the discrete probability function. The continuous random variable X denotes the diameter of a hole drilled in a sheet metal component. The target diameter is 12.5 millimetres. Most random disturbances to the process result in larger diameters. Historical data show that the distribution of X can be modelled by a probability density function: If a part with a diameter larger than 12.64 millimetres is scrapped, what proportion of parts is scrapped? What proportion of parts lie between 12.5 and 12.64 millimetres?
Given the following probability distribution, calculate the standard deviation x P(x) 1 0.123 2 0.238 3 0.542 4 0.097
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 3 4 5 Probability 0.259 0.293 0.244 0.150 0.037 0.017 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. The mean is , so the average batch of 1000 machine parts has The standard deviation is so the typical number of defects in a batch of 1000 (Round to one decimal place as needed.)
The probabilities and the number of automobiles lined up at the Ford dealership at opening time (8:00AM) for service are: Number Probability 1 0.05 0.30 0.40 4 0.25 Calculate the standard deviation of the probability distribution above. Express your answer rounded to 2 decimal places. Your Answer: Answer units N 3
Find the mean and standard deviation for the following probability distribution. P(x) 0.21 1 0.2 2 0.41 3 0.18 Enter the exact answer for the mean and round the standard deviation to three decimal places. Mean = i Standard deviation i
Provide an appropriate response. Use the Standard Normal Table to find the probability. The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. A. 0.9834 B. 0.0166 C. 0.3189 D. 0.2375
Show how to find the mean and standard deviation of the following probability distribution. Round all answers to 4 decimal places. X -3 -2 0 2 3 P(X) 0.1 0.3 0.2 0.1 0.3 Mean _______________ Standard deviation _______________
The probability distribution of random variable X is defined as follows: X 0 1 2 3 4 Probability 0 0.3 0.1 0.3 0.3 Find the expected value and the standard deviation of X.
Given the probability distributions shown to the right, complete the following parts. Distribution A Distribution B a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. P(X = x,) P(X = x;) 0.46 0.03 0.25 1 0.12 0.14 2 0.14 2. 0.12 3 0.25 4. 0.03 4. 0.46 (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? (Type an integer or decimal rounded to three decimal places as needed. c. What is the probability that x will be at least 3 in Distribution A? Next View instructor tip Help me solve this Get more help - 936 PM 70°F NO 21 P Type here to search 37/2022 CON & %23 2. R T. Y E tab 57 K S F. G D Cans lock…
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 Probability 0.269 0.295 0.241 0.144 4 0.038 5 0.013 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is. (Round to one decimal place as needed.)
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.255 0.294 0.235 0.158 0.042 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is enter your response here. (Round to one decimal place as needed.)
Let X be the number of workouts a person does in a week. Suppose that X has the following probability distribution: 3 e d C # $ SB 4 C A. What is the expected number of workouts a person Standard deviation = r Expected value B. What is the standard deviation of the number of workouts a person f V You can use the tool below to help you compute standard deviation. % 5 t ca b 6 X 0 P p| 0.09 Oll y h hop & 7 n 1 2 3 0.14 0.43 | 0.25 O u does per Round to 2 decimal places, as needed. does per week? j Round to 2 decimal places, as needed. * 00 week? 8 4 0.09 3 k ( 9 O < alt O р ctrl [ ? + 11 = 1 < backs 1

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Consider the following probability distribution; determine the standard deviation. Probability 0.15 0.19 0.28 0.23 0.15 X 0 1 2 3 4 O 1.475 1.618 2.040 1.386 1.272